Solution blowup for systems of shallow-water equations

DOI10.1007/s11232-013-0119-9zbMath1297.76031OpenAlexW2027092482MaRDI QIDQ461558

E. V. Yushkov, M. O. Korpusov

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0119-9

zbMATH Keywords

initial-boundary value problemfinite-time blowupshallow water approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Blow-up in context of PDEs (35B44)

Related Items

Global unsolvability of one-dimensional problems for Burgers-type equations ⋮ Global unsolvability of a nonlinear conductor model in the quasistationary approximation

Cites Work

• Unnamed Item
• Unnamed Item
• On transforms reducing one-dimensional systems of shallow-water to the wave equation with sound speed \(c^2=x\)
• On the absence of global solutions of the Korteweg-de Vries equation
• Blowup in Korteweg-de Vries-type systems
• On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation
• Weighted identities for solutions of generalized Korteweg-de Vries equations
• Global solutions and blow-up phenomena to a shallow water equation
• On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations
• Wave breaking for nonlinear nonlocal shallow water equations
• On the behavior of an incompressible fluid velocity field at infinity
• Wave breaking for a shallow water equation
• On the blow-up of solutions of equations of hydrodynamic type under special boundary conditions
• Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory
• Regularized shallow water equations and an efficient method for numerical simulation of shallow water flows
• Riemann quasi-invariants