# The 2D Zakharov-Kuznetsov-Burgers equation on a strip

@inproceedings{Larkin2016The2Z, title={The 2D Zakharov-Kuznetsov-Burgers equation on a strip}, author={N. A. Larkin}, year={2016} }

- Published 2016
DOI:10.5269/bspm.v34i1.26049

An initial-boundary value problem for the 2D ZakharovKuznetsov-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 L-norm.

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## Initial-boundary value problems in a rectangle for two-dimensional Zakharov–Kuznetsov equation

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CITES BACKGROUND

## An initial–boundary value problem in a strip for two-dimensional Zakharov–Kuznetsov–Burgers equation

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CITES BACKGROUND

## Kawahara-Burgers Equation on a Strip

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CITES METHODS

## Stabilization for the linear Zakharov-Kuznetsov equation without critical size restrictions

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CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 23 REFERENCES

## Global well-posedness and exponential decay rates for a KdV–Burgers equation with indefinite damping

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane

VIEW 2 EXCERPTS

HIGHLY INFLUENTIAL

## Bona and M.F Schonbek, Decay of solutions of some nonlinear wave equations

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Faminskii, An initial-boundary value problem in a strip for a two-dimensional equation of Zakharov-Kuznetsov type, arXiv:1312.4444v1 [math.AP

VIEW 1 EXCERPT

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