English

Modified Zakharov-Kuznetsov equation on rectangles

Analysis of PDEs 2019-07-08 v1

Abstract

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. The results on existence, uniqueness and asymptotic behavior of solutions are presented.

Keywords

Cite

@article{arxiv.1907.02810,
  title  = {Modified Zakharov-Kuznetsov equation on rectangles},
  author = {Marcos Castelli and Gleb Doronin},
  journal= {arXiv preprint arXiv:1907.02810},
  year   = {2019}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1906.00828

R2 v1 2026-06-23T10:13:09.196Z