Existence and stability of roll-waves for the Saint Venant equations

DOI10.1016/j.crma.2004.03.019zbMath1050.35051OpenAlexW1978656432MaRDI QIDQ1876857

Pascal Noble

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

zbMATH Keywords

channel with periodic bottom linear stabilityinfinite number of shocks

Mathematics Subject Classification ID

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)

Related Items

Existence and stability of roll-waves for the Saint Venant equations

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