Blowup in Korteweg-de Vries-type systems
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Publication:393959
DOI10.1007/s11232-012-0129-zzbMath1284.35385OpenAlexW2067609876MaRDI QIDQ393959
Publication date: 24 January 2014
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-012-0129-z
initial and boundary value problemBoussinesq-type systemKorteweg-de Vries-type system of equationssolvability global in time
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44)
Related Items (3)
Global unsolvability of one-dimensional problems for Burgers-type equations ⋮ Preventing blow up by convective terms in dissipative PDE's ⋮ Solution blowup for systems of shallow-water equations
Cites Work
- On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation
- Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- On the blow-up of solutions of equations of hydrodynamic type under special boundary conditions
- Numerical solution of Boussinesq systems of KdV–KdV type: II. Evolution of radiating solitary waves
- Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation
- A Coupled Korteweg-de Vries System and Mass Exchanges Among Solitons
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