Geodesic
2D Zakharov-Kuznetsov-Burgers equations with variable dissipation on a strip
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a30/}
}
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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/