Geodesic
2D Zakharov-Kuznetsov-Burgers equations with variable dissipation on a strip
Electronic journal of differential equations, Tome 2015 (2015)
An initial-boundary value problem for a 2D Zakharov-Kuznetsov-Burgers type equation with dissipation located in a neighborhood of $x=-\infty$ 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 $L^2$-norm.
Classification : 35Q53, 35B35
Keywords: KdV-Burgers equation, dispersive equations, exponential decay 
@article{EJDE_2015__2015__a30,
     author = {Larkin,  Nikolai A.},
     title = {2D {Zakharov-Kuznetsov-Burgers} equations with variable dissipation on a strip},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1314.35144},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a30/}
}
TY  - JOUR
AU  - Larkin,  Nikolai A.
TI  - 2D Zakharov-Kuznetsov-Burgers equations with variable dissipation on a strip
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a30/
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%A Larkin,  Nikolai A.
%T 2D Zakharov-Kuznetsov-Burgers equations with variable dissipation on a strip
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a30/
%G en
%F EJDE_2015__2015__a30
Larkin,  Nikolai A. 2D Zakharov-Kuznetsov-Burgers equations with variable dissipation on a strip. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a30/