Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping.
Global dynamics of a reaction-diffusion system.
Approximate inertial manifolds for nonlinear parabolic equations via steady-state determining mapping.
Syntheses of differential games and pseudo-Riccati equations.
Sharp asymptotic estimates for vorticity solutions of the 2D Navier-Stokes equation.
Optimal feedback control of Ginzburg-Landau equation for superconductivity via differential inclusion
Slightly below the transition temperatures, the behavior of superconducting materials is governed by the Ginzburg-Landau (GL) equation which characterizes the dynamical interaction of the density of superconducting electron pairs and the exited electromagnetic potential. In this paper, an optimal control problem of the strength of external magnetic field for one-dimensional thin film superconductors with respect to a convex criterion functional is considered. It is formulated as a nonlinear coefficient...
Page 1