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Global solutions of a surface quasigeostrophic front equation - MaRDI portal

Global solutions of a surface quasigeostrophic front equation (Q2668144)

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Global solutions of a surface quasigeostrophic front equation
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    Global solutions of a surface quasigeostrophic front equation (English)
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    3 March 2022
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    The authors consider a nonlinear nonlocal initial value problem for surface quasigeostrophic fronts in one space dimension. They prove local existence of smooth solution under a convergence condition on the nonlinear term. Moreover, the maximal solution is global if the initial data is sufficiently smooth and small.
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    surface quasigeostrophic equation
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    surface waves
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    nonlinear dispersive waves
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    global solutions.
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