THE EXACT LIMITS OF ALL ORDER DERIVATIVES OF THE GLOBAL SMOOTH SOLUTION OF A GENERAL KORTEWEG-DE VRIES-BURGERS EQUATION

被引：0

作者：

Zhang, Linghai ^{[1
]}

机构：

[1] Lehigh Univ, Dept Math, 17 Mem Dr East, Bethlehem, PA 18015 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2025年

关键词：

General Korteweg-de Vries-Burgers equation; global smooth solution; all order derivatives; exact limits; sharp rates; ratios; ASYMPTOTIC-BEHAVIOR; WELL-POSEDNESS; SOBOLEV SPACES; INVISCID LIMIT; DECAY; DISSIPATION;

D O I：

10.3934/dcdss.2025054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. We study the Cauchy problem for a general Korteweg-de VriesBurgers equation. Also, we study the Cauchy problem for the corresponding linear equation. We will couple together several classical ideas (the Fourier rem, squeeze theorem, several well known inequalities) and existing results. We will use rigorous mathematical analysis to accomplish the exact limits of all order derivatives of the global smooth solution of the Cauchy problem for the Korteweg-de Vries-Burgers equation.

引用

页数：50

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