On Maslov Conjecture about Square Root Type Singular Solutions of the Shallow Water Equations
Mathematical Physics
2015-08-06 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0404003,
title = {On Maslov Conjecture about Square Root Type Singular Solutions of the Shallow Water Equations},
author = {S. Dobrokhotov and K. Pankrashkin and E. Semenov},
journal= {arXiv preprint arXiv:math-ph/0404003},
year = {2015}
}
Comments
LaTeX, Contribution to Proceedings of the International Conference on Generalized Functions (ICGF 2000)