Matioc, Bogdan-Vasile and Roberti, Luigi (2023) Weak and classical solutions to an asymptotic model for atmospheric flows. JOURNAL OF DIFFERENTIAL EQUATIONS, 367. pp. 603-624. ISSN 0022-0396, 1090-2732
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In this paper we study a recently derived mathematical model for nonlinear propagation of waves in the atmosphere, for which we establish the local well-posedness in the setting of classical solutions. This is achieved by formulating the model as a quasilinear parabolic evolution problem in an appropriate functional analytic framework and by using abstract theory for such problems. Moreover, for L2-initial data, we construct global weak solutions by employing a two-step approximation strategy based on a Galerkin scheme, where an equivalent formulation of the problem in terms of a new variable is used. Compared to the original model, the latter has the advantage that the L2-norm is a Liapunov functional.& COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MORNING GLORY; Local well-posedness; Global weak solution; Atmospheric flows |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Jan 2024 16:40 |
| Last Modified: | 30 Jan 2024 16:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59964 |
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