Well and ill-posed problems for the KdV and Kawahara equations



Título del documento: Well and ill-posed problems for the KdV and Kawahara equations
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000395462
ISSN: 0037-8712
Autors: 1
1
Institucions: 1Universidade Estadual de Maringa, Departamento de Matematica, Maringa, Parana. Brasil
Any:
Volum: 26
Número: 1-2
Paginació: 133–137-133–137
País: Brasil
Idioma: Inglés
Tipo de documento: Ensayo
Enfoque: Analítico
Resumen en inglés Well and ill-posedness of initial-boundary value problems for the KdV and Kawahara equations posed on a finite interval are discussed. Non-existence of solutions to ill-posed problem for the KdV equation is proved as well as solvability, uniqueness, exponential decay and asymptotics of regular solutions to the Kawahara equation subject to reasonable boundary conditions
Disciplines Matemáticas,
Física y astronomía
Paraules clau: Matemáticas aplicadas,
Dinámica de fluidos,
Teoría cinética y plasmas,
Análisis no lineal,
Ecuaciones diferenciales,
Ecuaciones diferenciales parciales,
Ecuación Korteweg-de Vries,
Plasmas,
Propagación de ondas,
Valores de frontera
Keyword: Mathematics,
Physics and astronomy,
Applied mathematics,
Fluid dynamics,
Kinetic theory and plasma,
Nonlinear analysis,
Differential equations,
Partial differential equations,
Korteweg-de Vries equation,
Existence,
Uniqueness,
Plasma,
Wave propagation,
Boundary values
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