Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D
From MaRDI portal
Publication:2226514
DOI10.1016/J.ANIHPC.2020.08.003zbMath1458.35373arXiv1905.01490OpenAlexW3049673885MaRDI QIDQ2226514
Publication date: 8 February 2021
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.01490
KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (20)
On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping ⋮ Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher ⋮ On Kato's smoothing effect for a fractional version of the Zakharov-Kuznetsov equation ⋮ Well-posedness for the initial value problem associated to the Zakharov-Kuznetsov (ZK) equation in asymmetric spaces ⋮ Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation ⋮ The IVP for a periodic generalized ZK equation ⋮ Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations ⋮ Local well-posedness and spatial analyticity for the generalized Zakharov-Kuznetsov equation ⋮ Exact Controllability and Stabilization for Linear Dispersive PDE’s on the Two-Dimensional Torus ⋮ Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices ⋮ Unnamed Item ⋮ Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation ⋮ On local energy decay for large solutions of the Zakharov-Kuznetsov equation ⋮ Polynomial growth of high Sobolev norms of solutions to the Zakharov-Kuznetsov equation ⋮ Lower bounds on the radius of spatial analyticity for the 2D generalized Zakharov-Kuznetsov equation ⋮ The Zakharov-Kuznetsov equation in high dimensions: small initial data of critical regularity ⋮ Existence of solutions for the surface electromigration equation ⋮ The Cauchy problem for the L2–critical generalized Zakharov-Kuznetsov equation in dimension 3 ⋮ Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Fourier restriction norm method for the Zakharov-Kuznetsov equation
- A note on the Cauchy problem for the 2D generalized Zakharov-Kuznetsov equations
- A note on the 2D generalized Zakharov-Kuznetsov equation: local, global, and scattering results
- Local and global well-posedness for the 2D generalized Zakharov-Kuznetsov equation
- Convolutions of singular measures and applications to the Zakharov system
- A remark on the modified Zakharov-Kuznetsov equation in three space dimensions
- A convolution estimate for two-dimensional hypersurfaces
- The Cauchy problem for the 3D Zakharov-Kuznetsov equation
- Periodic Korteweg-de Vries equation with measures as initial data
- On the Cauchy problem for the Zakharov system
- Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications
- A nonlinear generalisation of the Loomis-Whitney inequality and applications
- The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation
- Well-Posedness Results for the Three-Dimensional Zakharov--Kuznetsov Equation
- Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation
- On the 2D Zakharov system withL2Schrödinger data
- Nonlinear ion-acoustic waves in weak magnetic fields
- A bilinear estimate with applications to the KdV equation
- An inequality related to the isoperimetric inequality
This page was built for publication: Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D
