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On Maslov Conjecture about Square Root Type Singular Solutions of the Shallow Water Equations

S. Dobrokhotov·K. Pankrashkin·E. Semenov
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Abstract

We prove Maslov's conjecture that the structure of the type of square root of a quadratic form is the unique structure of weakly singular solutions (with a point singularity) of the shallow water equations with the properties of asymptotic self-similarity and stability. This fact plays a key role in the study of the dynamics of vortical singularities and their applications to the description of typhoon trajectories.

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S. Dobrokhotov, K. Pankrashkin, E. Semenov. 2004-04-01. On Maslov Conjecture about Square Root Type Singular Solutions of the Shallow Water Equations. https://arxiv.org/abs/math-ph/0404003

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