Advances in Mathematical Physics (Jan 2015)

Kawahara-Burgers Equation on a Strip

  • N. A. Larkin

DOI
https://doi.org/10.1155/2015/269536
Journal volume & issue
Vol. 2015

Abstract

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An initial-boundary value problem for the 2D Kawahara-Burgers equation posed on a channel-type strip was considered. The existence and uniqueness results for regular and weak solutions in weighted spaces as well as exponential decay of small solutions without restrictions on the width of a strip were proven both for regular solutions in an elevated norm and for weak solutions in the L2-norm.