Osaka Journal of Mathematics

Second term of asymptotics for KdVB equation with large initial data

Elena Igorevna Kaikina and Hector Francisco Ruiz-Paredes

Full-text: Open access

Abstract

We consider the Cauchy problem for the Korteweg-de Vries-Burgers equation. Global existence and smoothing effect for the Cauchy problem to the Korteweg-de Vries-Burgers equation was proved previously for the case of large initial data. Recently the first term of the large time asymptotics was obtained without restriction on the size of the initial data. The aim of the present paper is to obtain the second term of the large time asymptotic behavior of solutions to the Cauchy problem for the Korteweg-de Vries-Burgers equation in the case of the initial data of arbitrary size.

Article information

Source
Osaka J. Math., Volume 42, Number 2 (2005), 407-420.

Dates
First available in Project Euclid: 21 July 2006

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1153494385

Mathematical Reviews number (MathSciNet)
MR2147729

Zentralblatt MATH identifier
1080.35084

Citation

Kaikina, Elena Igorevna; Ruiz-Paredes, Hector Francisco. Second term of asymptotics for KdVB equation with large initial data. Osaka J. Math. 42 (2005), no. 2, 407--420. https://projecteuclid.org/euclid.ojm/1153494385


Export citation