1Universidad Nacional de Colombia, Bogotá, Colombia. Email: jmcamposp@unal.edu.co
2Universidad Nacional de Colombia, Bogotá, Colombia. Email: oduqueg@unal.edu.co
3Universidad Nacional de Colombia, Bogotá, Colombia. Email: grodriguezb@unal.edu.co
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El propósito de este trabajo es abordar el buen planteamiento en los espacios de Sobolev Hs(T2) para s≥1 del problema de Cauchy asociado a una ecuación del tipo Kuramoto-Sivashinsky bidimensional periódica, que modela fenómenos físicos que ocurren en películas delgadas.
Palabras clave: Problema de Cauchy, espacios de Sobolev, ecuación de Kuramoto-Sivashinsky, localmente bien planteado, globalmente bien planteado.
In this work, we deal with the local and global wellposedness in the Sobolev spaces Hs(T2) for s≥1 of the Cauchy problem associated to a bidimensional Kuramoto-Sivashinsky type equation, which models physical phenomena that occurs in thin films.
Key words: Cauchy problem, Solovev spaces, Kuramoto-Sivashinsky equation, Locally wellposedness, Globally wellposedness.
Texto completo disponible en PDF
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv45n1a01,
AUTHOR = {Campos, Juvitsa and Duque, Omar and Rodríguez-Blanco, Guillermo},
TITLE = {{El problema de Cauchy asociado a una ecuación del tipo Kuramoto-Sivashinsky bidimensional periódica}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2011},
volume = {45},
number = {1},
pages = {1-17} ]]>
}