Asymptotic smoothing effect for a weakly damped forced equation of shallow water type
type: Item
instance of: scholarly article
title: Asymptotic smoothing effect for a weakly damped forced equation of shallow water type
zbMATH Open document ID: 1002.35102
DOI: 10.1016/S0362-546X(01)00786-6
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-08-25T00:00:00Z
review text: The paper deals with the asymptotic properties of the nonlinear weakly damped forced equation of the shallow water type. By using Bourgain's method the author proves the existence of a global attractor and the asymptotic smoothing effect for the mentioned equation.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 37L30
zbMATH DE Number: 1788041
zbMATH Keywords: asymptotic smoothing effect
zbMATH Keywords: attractor
zbMATH Keywords: Bourgain's space
zbMATH Keywords: shallow water equation
author: Xing-you Zhang
MaRDI profile type: Publication
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
cites work: Q4335085
cites work: On the Cauchy problem for the Zakharov system
cites work: Regularity of the attractor for a weakly damped nonlinear schrödinger equation
cites work: The cauchy problem for a shallow water type equation
cites work: A bilinear estimate with applications to the KdV equation
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
description: scientific article; zbMATH DE number 1788041