Hydrodynamic Stability and Bifurcation
Bifurcation Theory and Applications
Geometry and Topology of Incompressible Flows and Applications
Shouhong Wang
Professor
Department of Mathematics
Indiana University
Bloomington, IN 47405.
Books:
- Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics, AMS Monograph and Mathematical Survey Series, vol. 119, 2005 (with Tian Ma)
- Bifurcation Theory and Applications, World Scientific Series on Nonlinear Science, Series A - Vol. 53, 2005 (with Tian Ma)
- Stability and Bifurcation of Nonlinear Evolutions Equations, Science Press, April, 2007, pp. 437 (with Tian Ma)
Recent Papers:
- 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, to appear (ArXiv, nlin.PS/0611024)
- Boundary Layer and Interior Separations in the Taylor--Couette--Poiseuille Flow (with T. Ma), submitted (ArXiv, math-ph/0701073)
- Bifurcation and stability of superconductivity, J. Math. Phys., 46(2005), 095112 (with Ma) pdf file
- 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 08 Teaching:
M542: Nonlinear Partial Differential Equations