Korteweg-de Vries-Burgers equation on a segment
-
Elena I. Kaikina
ekaikina@matmor.unam.mx
-
Leonardo Guardado-Zavala
guardado@ps.itm.mx
-
Hector F. Ruiz-Paredes
hruiz@sirio.tsemor.mx
-
S. Juarez Zirate
sjzirate@matmor.unam.mx
Downloads
DOI:
https://doi.org/10.4067/S0719-06462010000100005Abstract
We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1)
We prove that if the initial data u0 ∈ L2, then there exists a unique solution u ∈ C ([0, ∞) ; L2) ∪ C ((0,∞) ; H1) of the initial-boundary value problem (0.1). We also obtain the large time asymptotic of solution uniformly with respect to x ∈ (0, 1) as t → ∞.
Keywords
Similar Articles
- Mihai Prunescu, Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Saulius Minkevicius, Analysis of the Component-Based Reliability in Computer Networks , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Cheok Choi, Gen Nakamura, Kenji Shirota, Variational approach for identifying a coefficient of the wave equation , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- M. H. Saleh, S. M. Amer, M. H. Ahmed, The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert Kernel , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Elena Cordero, Davide Zucco, Strichartz estimates for the Schrödinger equation , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Youssef N. Raffoul, Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- K. Rajendra Prasad, Mahammad Khuddush, K. V. Vidyasagar, Infinitely many positive solutions for an iterative system of singular BVP on time scales , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Alexander A. Kovalevsky, Francesco Nicolosi, On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Yavar Kian, Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Sébastien Breteaux, Higher order terms for the quantum evolution of a Wick observable within the Hepp method , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2010-03-01
How to Cite
[1]
E. I. Kaikina, L. Guardado-Zavala, H. F. Ruiz-Paredes, and S. Juarez Zirate, “Korteweg-de Vries-Burgers equation on a segment”, CUBO, vol. 12, no. 1, pp. 41–58, Mar. 2010.
Issue
Section
Articles
