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



Document title: Well and ill-posed problems for the KdV and Kawahara equations
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000395462
ISSN: 0037-8712
Authors: 1
1
Institutions: 1Universidade Estadual de Maringa, Departamento de Matematica, Maringa, Parana. Brasil
Year:
Volumen: 26
Number: 1-2
Pages: 133–137-133–137
Country: Brasil
Language: Inglés
Document type: Ensayo
Approach: Analítico
English abstract 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
Keyword: 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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