BACKWARD BEHAVIOR OF DISSIPATIVE EVOLUTION EQUATIONS

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:tanshuyao
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  In this talk,I will discuss the backward-in-time behaviors of several dissipative evolution equations.This study is motivated by investigating the Bardos-Tartar conjecture on the 2D Navier-Stokes equations.Besides the rigorous mathematical treatment,we provide physical interpretation of the mechanism of singularity formulation,backward in time,for perturbations of the KdV equation.Finally,I present the connection between the backward behavior and the energy spectra of the solutions.This is a joint work with E.S.Titi.
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