Existence and stability of roll-waves for the Saint Venant equations
DOI10.1016/j.crma.2004.03.019zbMath1050.35051OpenAlexW1978656432MaRDI QIDQ1876857
Publication date: 20 August 2004
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2004.03.019
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Parallel shear flows in hydrodynamic stability (76E05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
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Cites Work
- Geometric singular perturbation theory for ordinary differential equations
- Existence and stability of roll-waves for the Saint Venant equations
- Theoretical and Numerical Structure for Unstable One-Dimensional Detonations
- Existence and persistence of invariant manifolds for semiflows in Banach space
- Hyperbolic Systems with Supercharacteristic Relaxations and Roll Waves
- The stability of multidimensional shock fronts
- Front propagation in periodic excitable media
- Mathematical solution of the problem of roll‐waves in inclined opel channels
