Books and Articles

Books

  1. Tian Ma & Shouhong Wang, Phase Transition Dynamics, Springer-Verlag, 2013, 558 pp.
  2. Tian Ma & Shouhong Wang, Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics, AMS Mathematical Surveys and Monographs Series, vol. 119, 2005, 234 pp.
  3. Tian Ma & Shouhong Wang, Bifurcation theory and applications, World Scientific Series on Nonlinear Science, Series A – Vol. 53, World Scientific, Singapore, 2005, 392 pp.
  4. Tian Ma & Shouhong Wang, Stability and Bifurcation of Nonlinear Evolutions Equations, Foundations of Mathematics Series, volume 106, Science Press, Beijing, China, April 2007, 437 pp.
  5. Tian Ma, Topology of Manifolds: Essence of Theory and Concepts, 2010, Science Press of China, 2010, pp. 536 (in Chinese).
  6. Tian Ma, Theory and Methods in Partial Differential Equations, Science Press in China, 2011, pp. 582 (in Chinese)
  7. Tian Ma, Physical World From the Mathematical Point of View: Geometrical Analysis, Gravitational Field, and Relativity,  Science Press of China, 2012, pp. 422 (in Chinese)
  8. Tian Ma, Physical World From the Mathematical Point of View: Theory of Elementary Particles and Unified Fields, Science Press in China, 2014, pp. 418  (in Chinese)
  9. Mickael Chekroun, Honghu Liu & Shouhong Wang, Approximation of Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I. Springer Briefs in Mathematics. Springer, New York, 2015.
  10. Mickael Chekroun, Honghu Liu & Shouhong Wang, Parameterizing Manifolds and Non-Markovian Reduced Equations: Stochastic Manifolds for Nonlinear SPDEs II. Springer Briefs in Mathematics. Springer, New York, 2015.
  11. Tian Ma & Shouhong Wang, Mathematical Principles of Theoretical Physics, Science Press, August 2015, 524pp. Order at amazon.cn

Articles

  1. Tian Ma & Shouhong Wang, Gravitational field equations and theory of dark matter and dark energy, Discrete and Continuous Dynamical Systems, Ser. A, 34:2(2014), 335-366; see also arxiv: 1206.5078
  2. Tian Ma & Shouhong Wang, Unified theory of dark energy and dark matter, 2012
  3. Tian Ma & Shouhong Wang, Unified Field Equations Coupling Four Forces and Principle of Interaction Dynamics,  Discrete and Continuous Dynamical Systems, Ser. A, 35:3(2015), 1103-1138;  See also  arxiv: 1210.0448.
  4. Tian Ma & Shouhong Wang, Unified Field Theory and Principle of Representation Invariance, Applied Mathematics and Optimization,Volume 69:3 (2014), pp 359-392; This paper is the version 1 of arxiv:1212.4893
  5. Tian Ma & Shouhong Wang, Duality of Strong Interaction, EJTP, 11:31(2014), 101-124;  see also IU Institute for Scientific Computing and Applied Mathematics Preprint Series, #1301.
  6. Tian Ma & Shouhong Wang, Duality Theory of Weak Interaction, IU Institute for Scientific Computing and Applied Mathematics Preprint Series, #1302.
  7. Tian Ma & Shouhong Wang, Structure and Stability of Matter, IU Institute for Scientific Computing and Applied Mathematics Preprint Series, #1303.
  8. Tian Ma & Shouhong Wang, Weakton Model of Elementary Particles and Decay Mechanisms, Electronic Journal of Theoretical Physics, 12:32(2015), 139-178;  IU Institute for Scientific Computing and Applied Mathematics Preprint Series, #1304, 5/30/2013.
  9. Tian Ma & Shouhong Wang, Color Algebra in Quantum Chromodynamics, 12/31/2013; see also Isaac Newton Institute Preprint # NI14001.
  10. Tian Ma & Shouhong Wang, Spectral Theory of Differential Operators and Energy Levels of subatomic Particles, 1/6/2013; see also Isaac Newton Institute Preprint # NI14002.
  11. Tian Ma & Shouhong Wang, Field Theory for Multi-Particle System, IU Institute for Scientific Computing and Applied Mathematics Preprint Series, #1404; see also the Isaac Newton Institute Preprint #NI14057
  12. Tian Ma & Shouhong Wang, On Solar Neutrino Problem, IU Institute for Scientific Computing and Applied Mathematics, Preprint Series #1403; see also the Isaac Newton Institute Preprint #NI14058
  13. Tian Ma & Shouhong Wang, Astrophysical dynamics and cosmology, J. Math. Study, 47:4 (2014), 305-378.
  14. Marco Hernandez, Tian Ma and Shouhong Wang, Theory of Dark Energy and Dark Matter, J. Math. Study, 2015, Isaac Newton Institute Preprint NI15013
  15. Tian Ma & Shouhong Wang, Dark Energy and Dark Matter: A Property of Gravity, Chapter 8 of Advances in Dark Energy Research, Edited by Miranda L. Ortiz, 2015.
  16. Tian Ma & Shouhong Wang, On Indeterminacy Problem in Quantum Mechanics, IU ISCAM Preprint #1601.
  17. Tian Ma & Shouhong Wang, Quantum Rule of Angular Momentum, AIMS Mathematics, 1(2) (2016), 137-143 (with Tian Ma).
  18. Tian Ma & Shouhong Wang, Dynamic Law of Physical Motion and Potential-Descending Principle, Indiana University Institute for Scientific Computing and Applied Mathematics, Preprint #1701, July 5, 2017.
  19. Tian Ma & Shouhong Wang, Dynamical Theory of Thermodynamical Phase Transitions, July 14, 2017
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6 Responses to Books and Articles

  1. Pingback: Synopsis: Theory of Unified Fields and Elementary Particles | Interplay between Mathematics and Physics

  2. Pingback: Principle of Interaction Dynamics | Interplay between Mathematics and Physics

  3. Pingback: Principle of Interaction Dynamics | Shouhong Wang

  4. Pingback: Principle of Interaction Dynamics | Shouhong Wang

  5. Pingback: Talks | Shouhong Wang

  6. Pingback: Synopsis: Theory of Unified Fields and Elementary Particles | Shouhong Wang

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