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
- Tatyana A. Komleva, Andrej V. Plotnikov, Natalia V. Skripnik, Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Rigoberto Medina, Asymptotic behavior of the solution of a nonlinear differential equation , CUBO, A Mathematical Journal: No. 6 (1990): CUBO, Revista de Matemática
- Svetlin G. Georgiev, Khaled Zennir, New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- Ronald Grimmer, Min He, Fixed Point Theory and Nonlinear Periodic Systems , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- 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
- M. Arunkumar, Generalized Ulam - Hyers Stability of Derivations of a AQ - Functional Equation , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Jyotirmoy Mouley, M. M. Panja, B. N. Mandal, Approximate solution of Abel integral equation in Daubechies wavelet basis , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Sorin G. Gal, Remarks on the generation of semigroups of nonlinear operators on p-Fréchet spaces, 0 < p < 1 , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- Vediyappan Govindan, Choonkil Park, Sandra Pinelas, Themistocles M. Rassias, Hyers-Ulam stability of an additive-quadratic functional equation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- Moussa Barro, Aboudramane Guiro, Dramane Ouedraogo, Optimal control of a SIR epidemic model with general incidence function and a time delays , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
<< < 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
