Artículo
Singularity formations for a surface wave model
Autor/es | Castro Martínez, Ángel
Córdoba Gazolaz, Diego Gancedo García, Francisco |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2010-11 |
Fecha de depósito | 2016-09-21 |
Publicado en |
|
Resumen | In this paper we study the Burgers equation with a nonlocal term of the form Hu where H is the Hilbert transform. This system has been considered as a quadratic approximation for the dynamics of a free boundary of a vortex ... In this paper we study the Burgers equation with a nonlocal term of the form Hu where H is the Hilbert transform. This system has been considered as a quadratic approximation for the dynamics of a free boundary of a vortex patch (see Biello and Hunter 2010 Commun. Pure Appl. Math. LXIII 0303-36; Marsden and Weinstein 1983 Physica D 7 305–23). We prove blow up in finite time for a large class of initial data with finite energy. Considering a more general nonlocal term, of the form ΛαHu for 0 < α < 1, finite time singularity formation is also shown. |
Identificador del proyecto | MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138 0901810 |
Cita | Castro Martínez, Á., Córdoba Gazolaz, D. y Gancedo García, F. (2010). Singularity formations for a surface wave model. Nonlinearity, 23 (11), 2835-2847. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Singularity formations for a ... | 137.6Kb | [PDF] | Ver/ | |