Asymptotic behavior of solutions to an evolution equation for bidirectional surface waves in a convecting fluid

H.  Mahmoudi; A. Esfahani

doi:10.37863/umzh.v72i10.6032

H. Mahmoudi School Math. and Comput. Sci., Damghan Univ., Iran
A. Esfahani School Math. and Comput. Sci., Damghan Univ., Iran

DOI: https://doi.org/10.37863/umzh.v72i10.6032

Ключові слова: Boussinesq equation, Asymptotic Behavior, Sobolev spaces, Convecting fluid

Анотація

УДК 517.9

Aсимптотична поведiнка розв’язкiв еволюцiйного рiвняння для двонаправлених поверхневих хвиль у рiдинi з конвекцiєю

Розглядається задача Кошi для еволюцiйного рiвняння, що моделює двонаправленi поверхневi хвилi у рiдинi з конвекцiєю. Вивчаються iснування, єдинiсть та асимптотичнi властивостi глобальних розв’язкiв початкової задачi, що пов’язана з цим рiвнянням у $R^n$. Отримано деякi полiномiальнi оцiнки спадання енергiї.

Біографічна довідка автора

H. Mahmoudi, School Math. and Comput. Sci., Damghan Univ., Iran

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