Existence of pulsating roll-waves for the Saint-Venant system

DOI10.1007/s00205-007-0048-6zbMath1147.76006OpenAlexW2071474287MaRDI QIDQ948766

Pascal Noble

Publication date: 20 October 2008

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-007-0048-6

zbMATH Keywords

Burgers equationaverage velocitysmall periodic perturbation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

• Generalized characteristics in hyperbolic systems of conservation laws
• Geometric singular perturbation theory for ordinary differential equations
• On roll waves down an open inclined channel
• Nonlinear evolution of small disturbances into roll waves in an inclined open channel
• On the evolution of roll waves
• Existence and persistence of invariant manifolds for semiflows in Banach space
• Hyperbolic Systems with Supercharacteristic Relaxations and Roll Waves
• On the Null Asymptotic Stabilization of the Two-Dimensional Incompressible Euler Equations in a Simply Connected Domain
• The stability of multidimensional shock fronts
• Front propagation in periodic excitable media
• On the linear stability of Roll-Waves
• ASYMPTOTIC BEHAVIOR OF SPATIALLY INHOMOGENEOUS BALANCE LAWS
• Mathematical solution of the problem of roll‐waves in inclined opel channels
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
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