Asymptotic Stability of Steady-states for Saint-Venant Equations with Real Viscosity

DOI10.1007/978-3-7643-7742-7_9zbMath1291.76053OpenAlexW1663653474MaRDI QIDQ5170000

Frédéric Rousset, Corrado Mascia

Publication date: 17 July 2014

Published in: Analysis and Simulation of Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-7742-7_9

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (5)

Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction ⋮ A note on the viscous, 1D shallow water equations: traveling wave phenomena ⋮ Output-feedback control of viscous liquid-tank system and its numerical approximation ⋮ Existence and uniqueness of a positive connection for the scalar viscous shallow water system in a bounded interval ⋮ Long time dynamics of layered solutions to the shallow water equations

Cites Work

• Pointwise Green function bounds for shock profiles of systems with real viscosity
• Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
• Pointwise semigroup methods and stability of viscous shock waves
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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