Abstract

CAMPOS, JUVITSA; DUQUE, OMAR  and  RODRIGUEZ-BLANCO, GUILLERMO. The Cauchy Problem Associated with a Bidimensional Kuramoto-Sivashinsky Type Equation in the Periodical Setting. Rev.colomb.mat. [online]. 2011, vol.45, n.1, pp.1-17. ISSN 0034-7426.

In this work, we deal with the local and global wellposedness in the Sobolev spaces H^s(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.

Keywords : Cauchy problem; Solovev spaces; Kuramoto-Sivashinsky equation; Locally wellposedness; Globally wellposedness.

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