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New Papers and Books

Tian Ma & Shouhong Wang, Mathematical Principles of Theoretical Physics, in press.

Tian Ma & Shouhong Wang, Astrophysical Dynamics and Cosmology, J. Math. Study, 47:4(2014), 305-378.    See also Isaac Newton Institute Preprint: ni14098.pdf

Marco Hernandez, Tian Ma & Shouhong Wang, Theory of Dark Energy and Dark Matter, Isaac Newton Institute Preprint: ni15013.

Blog: Interplay between Mathematics and Physics 

This blog explores the symbiotic interplay between 1) the mathematical formulation of nature phenomena and the  development of new mathematics motivated by physical problems, and 2) the discovery of new laws and insights of Nature. Our posts focus on the field theory of four fundamental interactions and elementary particles, cosmology, climate dynamics and phase transitions.  –Tian Ma & Shouhong Wang

IU Press Release

IU mathematician offers unified theory of dark matter, dark energy, altering Einstein field equations

Books

  1. Tian Ma & Shouhong Wang (2015)Mathematical Principles of Theoretical Physics, in press.
  2. Mickael Chekroun, Honghu Liu & Shouhong (2015)Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations : Stochastic Manifolds for Nonlinear SPDEs II. SpringerBriefs in Mathematics, Springer
  3. Mickael Chekroun, Honghu Liu & Shouhong (2015)Approximation of Stochastic Invariant Manifolds : Stochastic Manifolds for Nonlinear SPDEs I. SpringerBriefs in Mathematics. Springer
  4. Tian Ma & Shouhong Wang (2013), Phase Transition Dynamics, Springer-Verlag, November,  XX, 555 pp. 153 illus.
  5. Tian Ma & Shouhong Wang (2007), Stability and Bifurcation of Nonlinear Evolutions Equations, Foundations of Mathematics Series, Volume 106, Science Press, Beijing, 437 pp.
  6. Tian Ma & Shouhong Wang (2005)Bifurcation theory and applications,
    World Scientific Series on Nonlinear Science, Series A – Vol. 53, World Scientific, Singapore,  392 pp.
  7. Tian Ma & Shouhong Wang (2005)Geometric Theory of Incompressible Flows
    with Applications to Fluid Dynamics, AMS Mathematical Surveys and Monographs Series, Vol. 119,  234 pp.

Editorial

Physica D, Editor

Discrete and Continuous Dynamical Systems–B, Associate Editor