On the locally self-similar blowup for the generalized SQG equation (Q6644206)

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scientific article; zbMATH DE number 7950081
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On the locally self-similar blowup for the generalized SQG equation
scientific article; zbMATH DE number 7950081

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    On the locally self-similar blowup for the generalized SQG equation (English)
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    27 November 2024
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    This paper under review analyzes finite-time blowup scenarios of locally self-similar type for the inviscid generalized surface quasi-geostrophic equation in the whole two-dimensional space. Under some certain growth assumptions on the self-similar profile and its gradient, the appropriate ranges of the self-similar parameter are derived.
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    generalized surface quasi-geostrophic equation
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    locally self-similar solution
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    finite-time singularity
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