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arXiv · 2307.08064

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

Nikolai Larkin
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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.

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Nikolai Larkin. 2023-07-16. Global solutions for a 2D BENNEY-LIN type equation posed on rectangles and on a half-strip. https://arxiv.org/abs/2307.08064

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