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....
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| Autores principales: | , , , |
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| Lenguaje: | English |
| Publicado: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100005 |
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| Sumario: | 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"> |
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