English

Global solutions for a 2D BENNEY-LIN type equation posed on rectangles and on a half-strip

Analysis of PDEs 2023-07-18 v1

Abstract

We formulate on rectangles and on the right horizontal half-strip initial-boundary value problems for a two-dimensional Benney-Lin type equation. Existence and uniqueness of a regular solution as well as the exponential decay rate for the norm of a regular solution have been established.

Keywords

Cite

@article{arxiv.2307.08064,
  title  = {Global solutions for a 2D BENNEY-LIN type equation posed on rectangles and on a half-strip},
  author = {Nikolai Larkin},
  journal= {arXiv preprint arXiv:2307.08064},
  year   = {2023}
}

Comments

no comments. arXiv admin note: text overlap with arXiv:1402.2576

R2 v1 2026-06-28T11:31:46.993Z