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

Nikolai Andreevitch Larkine
2016 Boletim da Sociedade Paranaense de Matemática  
An initial-boundary value problem for the 2D Zakharov-Kuznetsov-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 2 -norm.
doi:10.5269/bspm.v34i1.26049 fatcat:qfmol6dl6nhfneyvqdshghlh6u