4 papers
On nonuniqueness and nonregularity for gradient flows of polyconvex functionals
Baisheng Yan
We provide some counterexamples concerning the uniqueness and regularity of weak solutions to the initial-boundary value problem for gradient flows of certain strongly polyconvex f…
Lipschitz Solutions for the Gradient Flow of Polyconvex Functionals
Baisheng Yan
In this sequel to a previous paper, we construct certain smooth strongly polyconvex functions on such that satisfies the Condition (OC) in that p…
On weak closure of some diffusion equations
Menglan Liao, Lianzhang Bao, Baisheng Yan
We study the closure of approximating sequences of some diffusion equations under certain weak convergence. A specific description of the closure under weak -convergence is gi…
Convex Integration for Diffusion Equations
Baisheng Yan
We study the initial-boundary value problem for a class of diffusion equations with nonmonotone diffusion flux functions, including forward-backward parabolic equations and the gra…