## Osaka Journal of Mathematics

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

### Second term of asymptotics for KdVB equation with large initial data

Elena Igorevna Kaikina and Hector Francisco Ruiz-Paredes

#### 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