Blowing-Up Solutions of the Shallow Water Equations
Koshkarbayev N.
August 2025Global Science Press
Journal of Nonlinear Modeling and Analysis
2025#7Issue 41523 - 1531 pp.
In the paper, we study the question about global unsolvability of the Kawahara and Kaup-Kupershmidt shallow water equations in a bounded domain. For certain initial-boundary-value problems of the shallow-water equations, we establish the necessary conditions for the existence of global solutions. The proof of the results is based on the nonlinear capacity method. In closing, we provide some examples.
blow-up solution , Kaup-Kupershmidt equation , Kawahara equation , mixed problem , shallow water
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