Dynamic bifurcation of nonlinear evolution equations

DOI10.1142/S0252959905000166zbMath1193.37105MaRDI QIDQ2483723

Tian Ma, Shouhong Wang

Publication date: 26 July 2005

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Local and nonlocal bifurcation theory for dynamical systems (37G99) Infinite-dimensional dissipative dynamical systems (37L99)

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Dynamic transitions of generalized Burgers equation ⋮ Stochastic attractor bifurcation of the one-dimensional Swift-Hohenberg equation with multiplicative noise ⋮ Attractor bifurcation for FKPP type equation with periodic boundary condition ⋮ Dynamic bifurcation of the \(n\)-dimensional complex Swift-Hohenberg equation ⋮ Dynamical bifurcation for the Kuramoto-Sivashinsky equation ⋮ Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations ⋮ Unnamed Item ⋮ Stratified rotating Boussinesq equations in geophysical fluid dynamics: Dynamic bifurcation and periodic solutions ⋮ Attractor bifurcation of three-dimensional double-diffusive convection ⋮ Stability and bifurcation of the Taylor problem ⋮ Attractor bifurcation for extended Fisher-Kolmogorov equation ⋮ Local and global dynamic bifurcations of nonlinear evolution equations ⋮ A note on multiplicity of solutions near resonance of semilinear elliptic equations ⋮ Bifurcation and stability of superconductivity

Cites Work

• Semigroups of linear operators and applications to partial differential equations

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