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
- Sapan Kumar Nayak, P. K. Parida, Global convergence analysis of Caputo fractional Whittaker method with real world applications , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Bapurao C. Dhage, Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Hugo Leiva, Jesús Matute, Nelson Merentes, José Sánchez, On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Abdoul Aziz Kalifa Dianda, Khalil Ezzinbi, Almost automorphic solutions for some nonautonomous evolution equations under the light of integrable dichotomy , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- T. A. Burton, Bo Zhang, Bounded and periodic solutions of integral equations , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- U. Traoré, Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Roberto Dieci, Gian-Italo Bishi, Laura Gardini, Routes to Complexity in a Macroeconomic Model Described by a Noninvertible Triangular Map , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Khalil Ezzinbi, Valerie Nelson, Gaston N‘Gu´er´ekata, ð¶â½â¿â¾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi, Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- Rigoberto Medina, Asymptotic behavior of the solution of a nonlinear differential equation , CUBO, A Mathematical Journal: No. 6 (1990): CUBO, Revista de Matemática
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
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
