{"id":123,"date":"2017-03-05T21:34:23","date_gmt":"2017-03-06T02:34:23","guid":{"rendered":"https:\/\/fs.wp.odu.edu\/jadam\/?page_id=123"},"modified":"2022-07-22T17:46:12","modified_gmt":"2022-07-22T21:46:12","slug":"publications","status":"publish","type":"page","link":"https:\/\/fs.wp.odu.edu\/jadam\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<ol><li>&#8220;Viscous damping of nonlinear magnetoacoustic waves&#8221;\u00a0<em>(1975), Astrophysics and Space Science 36,\u00a0479-487.<\/em><\/li><li>&#8220;Steady magnetogravity flow&#8221;\u00a0<em>(1975)<\/em>,\u00a0<em>Quarterly Journal of Mechanics and Applied Mathematics 28, 397-103.<\/em><\/li><li>&#8220;Alfven wave reflection at a density transition region&#8221;\u00a0<em>(1976)<\/em>,\u00a0<em>Journal of Physics A: Mathematical and General 9, L193-L194.<\/em><\/li><li>&#8220;Maximum growth rates of magnetoatmospheric instabilities&#8221;\u00a0<em>(1977)<\/em>,\u00a0<em>Astrophysics and Space Science 47, L5-L7.<\/em><\/li><li>&#8220;On the occurrence of critical levels in solar magnetohydrodynamics&#8221;\u00a0<em>(1977), Solar Physics 52, 293-307.<\/em><\/li><li>&#8220;Hydrodynamic instability of convectively unstable atmospheres in shear flow&#8221;\u00a0<em>(1977), Astrophysics and Space Science, 50, 493-514.<\/em><\/li><li>&#8220;Solar magnetoatmospheric waves -a simplified mathematical treatment&#8221;. (1977)\u00a0<em>Astronomy and\u00a0Astrophysics 60, 171-179.<\/em><\/li><li>&#8220;Solutions of the inhomogeneous acoustic-gravity wave equation&#8221;. (1977),\u00a0<em>Journal of Physics A: Mathematical and General<\/em>, 10, L169-L173.<\/li><li>&#8220;Stability of aligned magnetoatmospheric flow&#8221; (1978),\u00a0<em>J. Plasma Phys<\/em>. 19, 77-86.<\/li><li>&#8220;Magnetohydrodynamic wave energy flux in a stratified compressible atmosphere with shear&#8221; (1978)\u00a0<em>Q.J. Mech. Appl. Math<\/em>. 31 77-98.<\/li><li>&#8220;Evolution in space and time of resonant wave triads I. the pump-wave approximation&#8221;. (With A.D.D. Craik) (1978)\u00a0<em>Proc. R. Soc. Lond<\/em>. . 363, 243-255.<\/li><li>&#8220;Explosive resonant wave interactions in a three-layer fluid flow&#8221;. (With A.D.D. Craik) (1979)\u00a0<em>J. Fluid Mech<\/em>. 92, 15-33.<\/li><li>&#8220;Maximum growth rate of magnetoatmospheric instabilities. II: Hilbert space approach&#8221;. (1980\u00a0<em>J. Phys. A. Math. &amp; Gen.<\/em>\u00a013, 373-378.<\/li><li>&#8220;Some wave reflection problems in solar physics&#8221;. (1981)\u00a0<em>The Irish Astronomical Journal<\/em>, 14, 133-137.<\/li><li>&#8220;Eigenvalue bounds in magnetoatmospheric shear flow&#8221;. (1980)\u00a0<em>J. Phys. A. Math. &amp; Gen<\/em>. 13, 3325-3338.<\/li><li>&#8220;Some thoughts on the nature of mathematical statements&#8221;. (1981)\u00a0<em>I.M.A. Bulletin<\/em>, 17, 21-25.<\/li><li>&#8220;Asymptotic solutions and spectral theory of linear wave equations&#8221;. (1982)\u00a0<em>Physics Reports\u00a0<\/em>8 No. 5, 217-316.<\/li><li>&#8220;Mechanical wave energy flux in magnetoatmospheres: discrete and continuous spectra&#8221;. (1981)\u00a0<em>Astrophys. Sp. Sci.<\/em>\u00a078, 293 347.Addendum to the above paper (#18): (1981)\u00a0<em>Astrophys. Sp. Sci<\/em>\u00a078, 38-350.<\/li><li>&#8220;Note on sigma-stability in hydromagnetics&#8221;. (1982)\u00a0<em>Astrophys. Sp. Sci<\/em>. 82, 115-121.<\/li><li>&#8220;Complex eigenvalue bounds in magnetoatmospheric shear flow&#8221;. (1983) (with P.S. Cally),\u00a0<em>Geophys.Astrophys. Fluid Dyn.<\/em>\u00a023, 57-67.<\/li><li>&#8220;Mathematical methods in linear hydrodynamic stability theory&#8221;. (1982)\u00a0<em>Int. J. Math. Ed. Sci.Tech\u00a0<\/em>13, 405-422.<\/li><li>&#8220;On a class of atmospheres occurring in stellar hydrodynamic theory&#8221;. (1982)\u00a0<em>Z.A.M.P<\/em>. 33, 473-486.<\/li><li>&#8220;On photospheric and chromospheric penumbral waves&#8221;. (With P.S Cally) (1983)\u00a0<em>Sol. Phys<\/em>., 85, 97-111.<\/li><li>&#8220;Green&#8217;s functions, complex eigenvalues and the initial-value problem&#8221;. (1984)\u00a0<em>I.M.A. Bulletin<\/em>, 20, 171-176.<\/li><li>&#8220;Some mathematical aspects of wave motion&#8221;. (1984)\u00a0<em>Int. Jnl. Math. Ed Sci. Tech<\/em>., 15, 719-725.<\/li><li>&#8220;On complementary levels of description in applied mathematics&#8221; (1984)\u00a0<em>Int. Jnl. Math. Ed.Sci. Tech.<\/em>, 15, 672-673.<\/li><li>&#8220;The critical layers and other singular regions in ideal hydrodynamics and MHD&#8221;. (1984)\u00a0<em>Astrophys. Sp. Sci<\/em>., 105, 401-412.<\/li><li>&#8220;Magnetoatmospheric waves from a localized source&#8221;. (With J.H. Thomas). (1984)\u00a0<em>Astrophys. Sp. Sci<\/em>., 106, 125-150.<\/li><li>&#8220;On the spectrum of some singular equations in MHD&#8221;. (1985)\u00a0<em>Astrophys. Sp. Sci<\/em>., 114, 249-258.<\/li><li>&#8220;Critical layer singularities and complex eigenvalues in some differential equations of mathematical physics&#8221;. (1986)\u00a0<em>Physics Reports<\/em>, 142, 263-356.<\/li><li>&#8220;A simplified mathematical model of tumor growth&#8221;. (1986)\u00a0<em>Mathematical Biosciences<\/em>., 81, 229-244.<\/li><li>&#8220;Spectral theory and stability in astrophysics. I. Ideal MHD&#8221;. (1986)\u00a0<em>Astrophys. Sp. Sci<\/em>. 127, 163-178.<\/li><li>&#8220;Spectral theory and stability in astrophysics. II. Rotating stars&#8221;. (1986)\u00a0<em>Astrophys. Sp. Sci<\/em>., 127, 309-320.<\/li><li>&#8220;A linear scattering problem in magnetohydrodynamics: transmission resonances in a magnetic slab&#8221;. (1987)\u00a0<em>Astrophys. Sp. Sci<\/em>. 133 317-337<\/li><li>&#8220;A mathematical model of tumor growth: II. Effects of geometry and spatial non-uniformity on stability&#8221;. (1987)\u00a0<em>Math. Biosci.<\/em>, 86, 183-211.<\/li><li>&#8220;A mathematical model of tumor growth: III. Comparison with experiment&#8221;. (1987)\u00a0<em>Math.Biosci<\/em>., 86, 213-227.<\/li><li>On complementary levels or description in applied mathematics. II. Mathematical models in cancer biology&#8221;. 1988\u00a0<em>Int. J. Math. Ed. Sci. Tech<\/em>., 19, 519-535.<\/li><li>&#8220;On Liouville&#8217;s equation and its occurrence in mathematical astrophysics&#8221;. (1988)\u00a0<em>Int. J.Math. Ed. Sci. Tech<\/em>., 19, 881-890.<\/li><li>&#8220;Complementary levels of description in applied mathematics. III. Equilibrium models of cities&#8221;. (1988)\u00a0<em>Math. Comput. Modelling<\/em>, 10, 321-339.<\/li><li>&#8220;Mathematical model of tumor growth by diffusion&#8221;. (1988) Proceedings of the 6th International Conference on Mathematical Modelling, St. Louis, 1987. Published in\u00a0<em>Math.Comput. Modelling<\/em>, 11, 455-456.<\/li><li>&#8220;Integral Invariants and Complex Eigenvalue Bounds&#8221;.\u00a0<em>Applied Math. Lett.<\/em>\u00a0( 1988) 1, 203-206.<\/li><li>&#8220;A nonlinear eigenvalue problem in astrophysical magnetohydrodynamics: some properties of the spectrum&#8221;.\u00a0<em>J. Math. Phys<\/em>. ( 1989) 30, 744-756.<\/li><li>&#8220;Some results on the spectrum of a magnetoatmospheric wave operator&#8221;.\u00a0<em>Applied Math. Lett.\u00a0<\/em>(1989)2, 11-14.<\/li><li>&#8220;Note on a class of nonlinear time-independent diffusion equations&#8221;. (With S.A. Maggelakis),\u00a0<em>Applied Math. Lett<\/em>. (1989) 2, 141-145.<\/li><li>&#8220;A Mathematical Model of Tumor Growth. IV. Effects of a Necrotic Core&#8221; (With S.A. Maggelakis),\u00a0<em>Mathematical Biosci<\/em>\u00a0. 97 (1989) 121-136.<\/li><li>&#8220;Note on a Diffusion Model of Tissue Growth&#8221;, (with S.A. Maggelakis),\u00a0<em>Applied Math. Lett.<\/em>3 (1990) 27-31.<\/li><li>&#8220;A Mathematical Model of Preascular Growth of a Spherical Carcinoma&#8221; (with S.A. Maggelakis),\u00a0<em>Math. Comput. Modelling<\/em>\u00a01990 5 13, 2338.<\/li><li>&#8220;Diffusion Regulated Growth Characteristics of A Prevascular Carcinoma&#8221; (with S.A. Maggelakis),\u00a0<em>Bull. Math. Biology<\/em>. 1990, 52 549-582<\/li><li>&#8220;An Initial-Value Problem for Magnetoatmospheric Waves. I. Theory&#8221;.\u00a0<em>Wave Motion<\/em>\u00a01990, 12 385-399.<\/li><li>&#8220;A Generalization of a Solvable Model in Population Dynamics&#8221;, (with G. DeRise),\u00a0<em>J. Phys.:Math. &amp; Gen.<\/em>\u00a0(1990), L727-L731.<\/li><li>&#8220;Diffusion Models of Prevascular and Vascular Tumor Growth: A Review&#8221;.\u00a0<em>Lecture Notes inPure and Applied Mathematics<\/em>, 1991, Vol.131, Chapter 41, p.625-642 (Marcel Dekker, Inc.).<\/li><li>&#8220;Self-Activation and Inhibition: Simple Nonlinear Model&#8221;.\u00a0<em>Appl. Math. Letters<\/em>, 4, 2 (1991), 85-87.<\/li><li>&#8220;Self-Activation and Inhibition: The Effect of a Zero-Flux Boundary&#8221;,\u00a0<em>Appl. Math. Letters<\/em>, 4, 3 (1991) 45-47.<\/li><li>&#8220;Activator-Inhibitor Control of Tissue Growth&#8221;.\u00a0<em>SIAM Review<\/em>, 33, (1991), 462-466<\/li><li>&#8220;Solution Uniqueness and Stability Criteria for a Model of Growth Factor Production&#8221;,\u00a0<em>Appl.Math. Letters<\/em>, 5 (1992) 89-92.<\/li><li>&#8220;The Dynamics of Growth Factor-Modified Immune Response to Cancer Growth: One-Dimensional Models<em>&#8220;, Mathematical and Computer Modelling<\/em>, 17 (1993), 83-106.<\/li><li>&#8220;The Scattering Potential for a Polytrope of Degree n=5&#8221;.\u00a0<em>Appl. Math. Letters<\/em>, 6, #4 (1993) 9-1 1 .<\/li><li>&#8220;Scattering Parameters for an Epstein Profile in a Half-Space&#8221;,\u00a0<em>Appl. Math. Letters<\/em>, 6, #4, (1993), 13-15.<\/li><li>&#8220;Propagation of Magnetoacoustic-Gravity Waves in a Horizontally Stratified Medium: IV. Kinematics&#8221;.\u00a0<em>Astrophys. Sp. Sci<\/em>. 202 (1993), 259-271. (With I. McKaig).<\/li><li>&#8220;Equilibrium Model of a Vascularized Spherical Carcinoma with Central Necrosis: Some Properties of the Solution&#8221;.\u00a0<em>J. Math. Biol<\/em>. 31 (1993), 735-745. (With R. Noren).<\/li><li>&#8220;Non-Radial Stellar Oscillations from the Perspective of Potential Scattering Theory: Theoretical Aspects.&#8221;\u00a0<em>Astrophys. Sp. Sci<\/em>. 220 (1994), 179-233.<\/li><li>&#8220;Mathematical Model of Cycle-Specific Chemotherapy&#8221; (With Carl Panetta).\u00a0<em>Mathematicaland Computer Modelling\u00a0<\/em>22 (1995), 67-82.<\/li><li>&#8220;A Simple Mathematical Model and Alternative Paradigm for Certain Chemotherapeutic Regimens.&#8221; (With Carl Panetta).\u00a0<em>Mathematical and Computer Modelling<\/em>, 22 (1995), 49-60.<\/li><li>&#8220;Educated Guesses&#8221;.\u00a0<em>Quantum\u00a0<\/em>\u2013 A Journal of Mathematics and Science. Sept\/Oct. 1995.<\/li><li>&#8220;The Effects of Vascularization on Lymphocyte-Tumor Cell Dynamics: Qualitative Features&#8221;,\u00a0<em>Math. Comp. Modelling<\/em>\u00a023 (1996), 1-10.<\/li><li>&#8220;General Aspects of Modeling Tumor Growth and Immune Response&#8221;, Chapter 2 in the book cited below(Adam &amp; Bellomo, Eds.)<\/li><li>\u201cMathematical Models of Spheroid Growth and Catastrophe-Theoretic Description of Rapid Metastatic Growth\/Remission\u201d,\u00a0<em>Invasion &amp; Metastasis<\/em>, 16 (1996), 247-267.<\/li><li>\u201cN-Space, Dimensional Interface Phenomena and an Adventure in Flatland\u201d,\u00a0<em>Hyperspace<\/em>, 5(1996), 10-23.<\/li><li>\u201cScattering from Stellar Acoustic-Gravity Potentials: II. Phase Shifts via the First Born Approximation\u201d, (with Iain McKaig),\u00a0<em>Appl. Math. Lett<\/em>., 10 (1997), 39-42.<\/li><li>\u201cLimiting Spheroid Size as a Function of Growth Factor Source Location\u201d, (with Kim Ward),\u00a0<em>Appl. Math. Lett.,<\/em>\u00a010 (1997), 43-46.<\/li><li>\u201cPost-Surgical Passive Response of Local Environment to Primary Tumor Removal\u201d, (with Carryn Bellomo),\u00a0<em>Math. Comp. Modelling<\/em>, 25 (1997), 7-17.<\/li><li>\u201cThe Pekeris Waveguide: A Case Study in Classical Applied Mathematics\u201d,\u00a0<em>Math. Meth.\u00a0Mod. App. Sci<\/em>., 8 (1998), 157-186.<\/li><li>\u201c (A Note on)<sup>2<\/sup>\u00a0the Shape of the Erythrocyte\u201d,\u00a0<em>Math. Comp. Modeling<\/em>, 27 (1998), 73-77.<\/li><li>\u201cPost-Surgical Passive Response of Local Environment to Primary Tumor Removal. II. Heterogeneous Environment\u201d, (with Carryn Bellomo),\u00a0<em>Math. Meth. Mod. Appl. Sci<\/em>. 9 (1999), 617-626.<\/li><li>\u201cThe Mathematical Modeling of Cancer: A Review\u201d, (with Carl Panetta and Mark Chaplain), Conference Proceedings, 281-310, 1999,Vanderbilt University Press.<\/li><li>\u201cA Simplified Model of Wound Healing, with particular reference to the Critical Size Defect: One-dimensional model.\u201d\u00a0<em>Math. Comp. Mod<\/em>. 30 (1999), 23-32.<\/li><li>\u201cA Simplified Model of Wound Healing, with particular reference to the Critical Size Defect: Two-dimensional model.\u201d\u00a0<em>Math. Comp. Mod<\/em>. 30 (1999), 47-60. (with J.S. Arnold)<\/li><li>\u201cA mathematical model of wound healing in bone.\u201d In the Proceedings of the 2000 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS \u201900), p.97-103, Las Vegas, June 2000.<\/li><li>\u201cNutrient concentration in and around a vascularized tumor with a necrotic core.\u201d (With Carryn Bellomo). In the Proceedings of the 2000 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS \u201900), p.105-110, Las Vegas, June 2000.<\/li><li>\u201cThe Mathematical Physics of Rainbows and Glories\u201d.\u00a0<em>Physics Reports<\/em>\u00a0356 (Nos. 4-5) (2002), 229-366.<\/li><li>\u201cHealing times for circular wounds on plane and spherical bone surfaces\u201d.\u00a0<em>Applied Mathematics Letters<\/em>, 15 (2002), 55-58.<\/li><li>\u201cThe effect of surface curvature on wound healing in bone\u201d.\u00a0<em>Applied Mathematics Letters<\/em>, 15 (2002), 59-62.<\/li><li>\u201cThe effect of surface curvature on wound healing in bone: II. The critical size defect\u201d.\u00a0<em>Mathematical and Computer Modelling<\/em>, 35 (2002), 085-1094.<\/li><li><a href=\"http:\/\/ww2.odu.edu\/docs\/AMS_rainbow_article.pdf\">\u201cLike a bridge over colored water: a mathematical review of The Rainbow Bridge: Rainbows in Art, Myth and Science<\/a>\u201d by R. Lee and A. Fraser,\u00a0<em>Notices of the AMS<\/em>, Dec. 2002, 49 (No. 11), 1360-1371.<\/li><li>\u201cMathematical Models of Tumors and Their Remote Metastases\u201d;\u00a0<em>C. Bellomo, J.A. Adam.<\/em>\u00a0In Computational Methods in Biophysics, Biomaterials, Biotechnology and Medical Systems: Algorithm Development, Mathematical Analysis and Diagnostics, published by Kluwer Press, 2002.<\/li><li>\u201cMathematical models of tumor growth: from empirical description to biologicalmechanism\u201d, in vol. 537 of Advances in Experimental Medicine and Biology, entitled Mathematical Modeling in Nutrition and the Health Sciences (Kluwer Academic\/Plenum Publishers, 2003).<\/li><li>\u201cInside mathematical modeling: building models in the context of wound healing in bone\u00a0\u201c in\u00a0<em>Discrete and Continuous Dynamical Systems<\/em>, 4 (2004), 1-24.<\/li><li>&#8220;<a href=\"http:\/\/ww2.odu.edu\/docs\/April05_AMS_snowflake.pdf\">Flowers of Ice &#8211; Beauty, Symmetry, and Complexity: A Review of The Snowflake: Winter&#8217;s Secret Beauty<\/a>.&#8221; Notices of the AmericanMathematical Society, 52, #4, 402-416 (2005).<\/li><li>&#8220;<a href=\"http:\/\/ww2.odu.edu\/docs\/simplified_model_for_growth_factor_article.pdf\">A simplified model for growth factor induced healing of circular wounds<\/a>&#8221; Mathematical &amp; Computer Modeling, 44(2006), 887-898. (Co-authors Fred VErmolen and Esther Van Baaren.)<\/li><li>&#8220;<a href=\"http:\/\/ww2.odu.edu\/docs\/AO-46-06-p922.pdf\">On Rainbows from Inhomogeneous Transparent Spheres: A Ray-Theoretic Approach<\/a>.\u201d (With Philip Laven), Applied Optics, 46 (2007), 922-929.<\/li><li>F.J. Vermolen, W.G. van Rossum, E. Javierre and J.A. Adam. Modeling of self-healing of skin tissue. In: Self-healing materials: an alternative approach to 20 centuries of materials science, Springer, Dordrecht, the Netherlands, 2007.<\/li><li>F.J. Vermolen and J.A. Adam. A finite element model for epidermal wound healing involving angiogenesis. Proceedings of the ICCS conference, Springer-Verlag, Beijing, China, 2007. Proceedings part I, Edited by Y. Shi, G.D. van Albada, J. Dongarra and P.M.A. Sloot, Springer-Verlag, Berlin-Heidelberg, 2007<\/li><li>F.J. Vermolen, W.G. van Rossum, E. Javierre and J.A. Adam. A numerical model for epidermal wound healing. Proceedings of the ECCOMAS conference on Coupled Problems, Ibiza, Spain, 2007.<\/li><li>\u201c<a href=\"http:\/\/ww2.odu.edu\/docs\/jadam_geometric_optics_and_rainbows.pdf\">Rainbows, Geometrical Optics, and a Generalization of a result of Huygens<\/a>\u201d, Applied Optics, 47, H11 &#8211; H13.<\/li><li>\u201cA Two-Population Insurgency In Colombia: Quasi-Predator-Prey Models &#8212; A Trend Towards Simplicity\u201d (with John A. Sokolowski and Catherine M. Banks); Mathematical and Computer Modelling, 49 (2009),p. 1115\u20131126.\u201d<\/li><li>A review of\u00a0<em><a href=\"http:\/\/scitation.aip.org\/getpdf\/servlet\/GetPDFServlet?filetype=pdf&amp;id=AJPIAS000078000011001230000002&amp;idtype=cvips&amp;doi=10.1119\/1.3439648&amp;prog=normal\">Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving<\/a><\/em>\u00a0by Sanjoy Manahan, MIT Press, Cambridge, MA., in The American Journal of Physics, 78 (2010), 1230-1232.<\/li><li>&#8220;<a href=\"http:\/\/ww2.odu.edu\/~jadam\/docs\/maa_blood_vessel_paper.pdf\">Blood Vessel Branching: Going Beyond the Standard Calculus Problem&#8221;, Mathematics Magazine<\/a>, 84 (2011), 196 \u2013 207.<\/li><li>&#8220;<a href=\"http:\/\/ww2.odu.edu\/docs\/zero_bow_ao_paper_pl.pdf\">Zero-order bows in radially inhomogeneous spheres: direct and inverse problems<\/a>.&#8221; Applied Optics, 50 (2011) F50 &#8211; F59.<\/li><li>&#8220;<a href=\"http:\/\/www.ams.org\/notices\/201111\/rtx111101572p.pdf\">Putting the X in Biology: A Review of The Mathematics of Life by Ian Stewart<\/a>.&#8221; Notices of the American Mathematical Society, 58 (2011), 1572-1578.<\/li><li>A review of\u00a0<em>A Wealth of Numbers: An Anthology of 500 years of Popular Mathematics Writing<\/em>, edited by Benjamin Wardhaugh. American Journal of Physics (August 2012) volume 80(8), 745-746.<\/li><li>&#8216;Rainbows&#8217; in homogeneous and radially inhomogeneous spheres: connections with ray, wave and potential scattering theory. Mathematical &amp; Statistical Research with Applications to Physical &amp; Life Sciences, Engineering &amp; Technology. Springer Proceedings in Mathematics and Statistics, vol. 37, 2013, Ed. Bourama Toni.<\/li><li>&#8220;Electromagnetic and Potential Scattering from a Radially Inhomogeneous Sphere&#8221; 2013; co-author: Umaporn Nuntaplook,\u00a0<a href=\"http:\/\/arxiv.org\/abs\/1307.1647\">http:\/\/arxiv.org\/abs\/1307.1647<\/a><\/li><li><a href=\"http:\/\/arxiv.org\/abs\/1307.1647\">&#8220;Sc<\/a>attering of electromagnetic plane waves in radially inhomogeneous media: ray theory, exact solutions and connections with potential scattering theory\u201d, Chapter 3 in Volume 9 of Light Scattering Reviews, Editor, Alexander Kokhanovsky. Springer, 2014.<\/li><li>&#8220;Scalar wave scattering by two-layer radial inhomogeneities\u201d (with U. Nuntaplook) Applied Mathematics E-Notes,\u00a0<strong>14<\/strong>\u00a0(2014), 185-192.<\/li><li>&#8220;Scattering of a Plane Electromagnetic Wave by a Generalized Luneburg Sphere. Part 1: Ray Scattering\u201d (with James Lock and Philip Laven). Journal of Quantitative Spectroscopy and Radiative Transfer,\u00a0<strong>162<\/strong>\u00a0(2015), 154-163.<\/li><li>\u201cScattering of a Plane Electromagnetic Wave by a Generalized Luneburg Sphere. Part 2: Wave Scattering and Time-Domain Scattering\u201d (with James Lock and Philip Laven). Journal of Quantitative Spectroscopy and Radiative Transfer,\u00a0<strong>162<\/strong>\u00a0(2015), 164-174.<\/li><li>\u201cRay- and wave-theoretic problems in radially inhomogeneous media\u201d (with M. Pohrivchak &amp; U. Nuntaplook): invited chapter for Volume 11 of Light Scattering Reviews, Editor, Alexander Kokhanovsky. Springer, 2016, 339 \u2013 361.<\/li><li>\u201cScattering of Plane Electromagnetic Waves by Radially Inhomogeneous Spheres: Asymptotics and Special Functions\u201d (with M. Pohrivchak &amp; U. Nuntaplook): invited chapter for\u00a0<em>Mathematical &amp; Statistical Research with Applications to Physical &amp; Life Sciences, Engineering &amp; Technology<\/em>, Springer Proceedings in Mathematics and Statistics, vol. 39, 2016, Ed. Bourama Toni, (Chapter 17, p. 383 \u2013 417).<\/li><li>\u201cEvaluation of Ray-Path Integrals in Geometrical Optics\u201d, International Journal of Applied and Experimental Mathematics,\u00a0<strong>1<\/strong>, 108 (2016) (7 pages, With M. Pohrivchak).<\/li><li>\u201cMountain Shadows Revisited\u201d. Applied Optics\u00a0<strong>56<\/strong>(19), (2017) G26 \u2013 G35<\/li><li>\u201cAn Example of Nature\u2019s Mathematics: The Rainbow.\u201d The Virginia Mathematics Teacher,\u00a0<strong>44<\/strong>(1), 12-19 (Fall 2017 issue).<\/li><li>&#8220;Shape Resonances of the Transverse Magnetic Mode in a Spherically Stratified Medium.\u201d (With U. Nuntaplook), International journal of Applied Physics and Mathematics,\u00a0<strong>8<\/strong>(3), (2018), 18 \u2013 30.Review of \u201cThe Beauty of Numbers in Nature\u201d by Ian Stewart. SIAM Review\u00a0<strong>60<\/strong>(4), (2018), 1016 \u2013 1020<\/li><li>\u201cDimensional Analysis: Physical Insight Gained Through Algebra\u201d Virginia Mathematics Teacher,\u00a0<strong>45<\/strong>(1), 17 \u2013 21, (Fall 2018 issue)<\/li><li>\u201cThe asymptotic solution of the ion-damped acoustic-gravity wave equation\u201d, Zeitschrift fur Angewandte Mathematik und Physik ZAMP\u00a0<strong>70<\/strong>(4), 40001-17 (2019).<\/li><li>\u201cEvery equation tells a story \u2013 waves on water.\u201d Under review for the Virginia Mathematics Teacher.<\/li><li>\u201cLinear Difference Equations: Algebra in Action.\u201d (with Z. Li) Under review for the Virginia Mathematics Teacher.<\/li><li>\u201cSo, What\u2019s Your Sphericity Index? \u2013 Rationalizing Surface Area and Volume.\u201d Under review for the Virginia Mathematics Teacher, <strong>46<\/strong> (2), 48 \u2013 53 (2020).<\/li><li>\u201cEvery equation tells a story \u2013 waves on water.\u201d Virginia Mathematics Teacher <strong>47<\/strong>(1), 40 \u2013 46 (2021).<\/li><li>\u201cModeling Climate Change.\u201d (In a new section of the Virginia Mathematics Teacher \u2013 I am the section editor), 47(2), 25 \u2013 34.<\/li><li>\u201cMorphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions.\u201d (With U. Nuntaplook). Appl. Mech. 2021, <strong>2<\/strong>, 781\u2013796.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;Viscous damping of nonlinear magnetoacoustic waves&#8221;\u00a0(1975), Astrophysics and Space Science 36,\u00a0479-487. &#8220;Steady magnetogravity flow&#8221;\u00a0(1975),\u00a0Quarterly Journal&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/fs.wp.odu.edu\/jadam\/publications\/\">Read More<span class=\"screen-reader-text\">Publications<\/span><\/a><\/div>\n","protected":false},"author":915,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/pages\/123"}],"collection":[{"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/users\/915"}],"replies":[{"embeddable":true,"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/comments?post=123"}],"version-history":[{"count":5,"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/pages\/123\/revisions"}],"predecessor-version":[{"id":492,"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/pages\/123\/revisions\/492"}],"wp:attachment":[{"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/media?parent=123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}