Nikolai A. Larkin
Abstract:
An initial-boundary value problem for a 2D Zakharov-Kuznetsov-Burgers
type equation with dissipation located in a neighborhood of
and 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
-norm.
Submitted November 12, 2014. Published March 10, 2015.
Math Subject Classifications: 35Q53, 35B35.
Key Words: KdV-Burgers equation; dispersive equations; exponential decay.
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Nikolai A. Larkin Departamento de Matemática Universidade Estadual de Maringá Av. Colombo 5790: Agência UEM, 87020-900 Maringá, PR, Brazil email: nlarkine@uem.br |
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