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Geophysical Fluid Dynamics

Hydrodynamic Stability and Bifurcation

Bifurcation Theory and Applications

Geometry and Topology of Incompressible Flows and Applications

Dynamical Systems

Phase Transitions

Teaching

Vitae

Shouhong Wang

Professor

Department of Mathematics
Indiana University
Bloomington, IN 47405

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Phone: 812 855 8350
Fax: 812 855 0046
Email: showang@indiana.edu

Books:

  • Phase Transition Dynamics in Nonlinear Sciences, in preparation (with T. Ma)

Recent Papers:

Equilibrium Phase Transitions:

  • Phase Separation of Binary Systems (with T. Ma)
  • Phase Transition and Separation for Mixture of Liquid He-3 and He-4, EJTP, a special issue dedicated to the Legacy of Landau (with Tian Ma)
  • Cahn-Hilliard Equations and Phase Transition Dynamics for Binary Systems, DCDS-B (with T. Ma)
  • Dynamic Transitions for PVT Systems, Indiana University Mathematics Journal, to appear (with T. Ma)
  • Superfluidity of helium-3, Physica A, (with T. Ma)
  • Dynamic Model and Phase Transitions for Liquid Helium, Journal of Mathematical Physics, 49:073304 (2008), 1-18 (with T. Ma)
  • Dynamic Transitions for Ferromagnetism, Journal of Mathematical Physics, 49:053506 (2008), 1-18 (with T. Ma)
  • Bifurcation and stability of superconductivity, J. Math. Phys., 46(2005), 095112 (with Ma) pdf file

Classical, Geophysical Fluid Dynamics and Climate Dynamics:

  • Some mathematical and numerical issues in geophysical fluid dynamics and climate dynamics, Communications in Computational Physics, 2008 (with Jianping Li)
  • Stratified Rotating Boussinesq Equations in Geophysical Fluid Dynamics: Dynamic Bifurcation and Periodic Solutions, J. Math. Phys., 48:065602 (2007), 1-20 (with Chun-Hsiung Hsia and Tian Ma) pdf file
  • Attractor Bifurcation of Three-Dimensional Double-Diffusive Convection (with C. Hsia and T. Ma), ZAA (ArXiv, nlin.PS/0611024)
  • Boundary Layer and Interior Separations in the Taylor--Couette--Poiseuille Flow (with T. Ma), Journal of Mathematical Physics, to appear (ArXiv, math-ph/0701073)
  • Rayleigh-Benard Convection: Dynamics and Structure in the Physical Space, Comm. Math. Sci., 5:3(2007), 553-574 (with T. Ma) pdf file
  • Stability and bifurcation of the Taylor problem, Archive Rational Mechanics and Analysis, 181:1(2006), 149-176 (with Tian Ma) pdf file

Spring 09 Teaching:

   

   


 Last updated on Jan. 20, 2007