5 citations · 9 across the 5 of their papers we have counts for
5 papers
Low-regularity well-posedness for the ZK equation on a half-strip
E Avelino, G Doronin
Studied here is the Zakharov--Kuznetsov equation with a linear transport term posed on a half-strip with nonhomogeneous boundary condition. Using Bourgain-type spaces adapted to th…
Modified Zakharov-Kuznetsov equation on rectangles
Marcos Castelli, Gleb Doronin
Initial-boundary value problem for the modified Zakharov-Kuznetsov equation posed on a bounded rectangle is considered. The main difficulty is the critical power in nonlinear term.…
Subcritical and critical generalized Zakharov-Kuznetsov equation posed on bounded rectangles
Marcos Castelli, Gleb Doronin
Initial-boundary value problem for the generalized Zakharov-Kuznetsov equation posed on a bounded rectangle is considered. Critical and subcritical powers in nonlinearity are studi…
Exponential decay for the linear Zakharov-Kuznetsov equation without critical domains restrictions
Gleb G. Doronin, Nikolai A. Larkin
Initial-boundary value problems for the linear Zakharov-Kuznetsov equation posed on bounded rectangles are considered. Spectral properties of a stationary operator are studied in o…
Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip
G. G. Doronin, N. A. Larkin
Initial-boundary value problems for the 2D Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and c…