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Finite time blowup of solutions of the hydrostatic Euler equations
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Finite time blowup of solutions of the hydrostatic Euler equations
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Journal Article
Finite time blowup of solutions of the hydrostatic Euler equations
2024
Overview
In this paper we study the smooth solutions of the hydrostatic Euler equations. By a careful construction we establish an analytical lemma; in this lemma, we find the explicit formula in a specific class of functions that maximizes the
L
2
integral. Basing on a classical invariant transformation we simplify the problem. As a result, for a more general class of initial data we obtain the finite time blowup of the smooth solutions of the hydrostatic Euler equations in a strip domain by this lemma and repeatedly apply the method of characteristics.
Publisher
Springer International Publishing,Springer Nature B.V
