Global solutions for the generalized Benney-Lin equation posed on bounded intervals and on a half-line

Nikolai Larkin

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arXiv · 2109.01910

Global solutions for the generalized Benney-Lin equation posed on bounded intervals and on a half-line

Nikolai Larkin

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Abstract

Initial boundary value problems for the generalized Benney-Lin equation posed on bounded intervals and on the right half-line were considered. The existence and uniqueness of global regular solutions on arbitrary intervals as well as their exponential decay for small solutions and for a special choice of a bounded interval have been established.

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Nikolai Larkin. 2021-09-04. Global solutions for the generalized Benney-Lin equation posed on bounded intervals and on a half-line. https://arxiv.org/abs/2109.01910

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