Korteweg-de Vries-Burgers Equation on a Segment

We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1) <img border=0 width=600 height=99 src="http:/fbpe/img/cubo/v12n1/art05-01.jpg" > We prove that if the initial data <img src="http:/fbpe/img/cubo/v12n1/img1....

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Kaikina,Elena I, Guardado-Zavala,Leonardo, Ruiz-Paredes,Hector F, Juarez Zirate,S
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:	Dissipative Nonlinear Evolution Equation Large Time Asymptotics Korteweg-de Vries-Burgers equation
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100005
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0719-06462010000100005
record_format	dspace
spelling	oai:scielo:S0719-064620100001000052018-10-08Korteweg-de Vries-Burgers Equation on a SegmentKaikina,Elena IGuardado-Zavala,LeonardoRuiz-Paredes,Hector FJuarez Zirate,S Dissipative Nonlinear Evolution Equation Large Time Asymptotics Korteweg-de Vries-Burgers equation We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1) <img border=0 width=600 height=99 src="http:/fbpe/img/cubo/v12n1/art05-01.jpg" > We prove that if the initial data <img src="http:/fbpe/img/cubo/v12n1/img1.jpg" width="80" height="24"> , then there exists a unique solution <img src="http:/fbpe/img/cubo/v12n1/img2.jpg" width="150" height="23"> <img src="http:/fbpe/img/cubo/v12n1/img3.jpg" width="150" height="24"> ∪f the initial-boundary value problem (0.1). We also obtain the large time asymptotic of solution uniformly with respect to <img src="http:/fbpe/img/cubo/v12n1/img4.jpg" width="150" height="17">info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.1 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100005en10.4067/S0719-06462010000100005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Dissipative Nonlinear Evolution Equation Large Time Asymptotics Korteweg-de Vries-Burgers equation
spellingShingle	Dissipative Nonlinear Evolution Equation Large Time Asymptotics Korteweg-de Vries-Burgers equation Kaikina,Elena I Guardado-Zavala,Leonardo Ruiz-Paredes,Hector F Juarez Zirate,S Korteweg-de Vries-Burgers Equation on a Segment
description	We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1) <img border=0 width=600 height=99 src="http:/fbpe/img/cubo/v12n1/art05-01.jpg" > We prove that if the initial data <img src="http:/fbpe/img/cubo/v12n1/img1.jpg" width="80" height="24"> , then there exists a unique solution <img src="http:/fbpe/img/cubo/v12n1/img2.jpg" width="150" height="23"> <img src="http:/fbpe/img/cubo/v12n1/img3.jpg" width="150" height="24"> ∪f the initial-boundary value problem (0.1). We also obtain the large time asymptotic of solution uniformly with respect to <img src="http:/fbpe/img/cubo/v12n1/img4.jpg" width="150" height="17">
author	Kaikina,Elena I Guardado-Zavala,Leonardo Ruiz-Paredes,Hector F Juarez Zirate,S
author_facet	Kaikina,Elena I Guardado-Zavala,Leonardo Ruiz-Paredes,Hector F Juarez Zirate,S
author_sort	Kaikina,Elena I
title	Korteweg-de Vries-Burgers Equation on a Segment
title_short	Korteweg-de Vries-Burgers Equation on a Segment
title_full	Korteweg-de Vries-Burgers Equation on a Segment
title_fullStr	Korteweg-de Vries-Burgers Equation on a Segment
title_full_unstemmed	Korteweg-de Vries-Burgers Equation on a Segment
title_sort	korteweg-de vries-burgers equation on a segment
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100005
work_keys_str_mv	AT kaikinaelenai kortewegdevriesburgersequationonasegment AT guardadozavalaleonardo kortewegdevriesburgersequationonasegment AT ruizparedeshectorf kortewegdevriesburgersequationonasegment AT juarezzirates kortewegdevriesburgersequationonasegment
_version_	1714206762334158848

Korteweg-de Vries-Burgers Equation on a Segment

Ejemplares similares