A generalization of the quantum Bohm identity: hyperbolic CFL condition for Euler-Korteweg equations

DOI10.1016/j.crma.2015.09.020zbMath1338.35386OpenAlexW2192480636MaRDI QIDQ282703

Frédéric Couderc, Jean-Paul Vila, Pascal Noble, Bresch, Didier

Publication date: 12 May 2016

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.2015.09.020

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Viscoelastic fluids (76A10) PDEs in connection with quantum mechanics (35Q40)

Related Items (15)

Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities ⋮ Augmented skew-symmetric system for shallow-water system with surface tension allowing large gradient of density ⋮ Global existence of finite energy weak solutions of quantum Navier-Stokes equations ⋮ Symmetrization and local existence of strong solutions for diffuse interface fluid models ⋮ Sliding and merging of strongly sheared droplets ⋮ On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models ⋮ Optimization of consistent two-equation models for thin film flows ⋮ High Mach number limit for Korteweg fluids with density dependent viscosity ⋮ A remark on the global existence of weak solutions to the compressible quantum Navier-Stokes equations ⋮ On the compactness of weak solutions to the Navier-Stokes-Korteweg equations for capillary fluids ⋮ On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems ⋮ A three-equation model for thin films down an inclined plane ⋮ On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term ⋮ On global existence of weak solutions to a viscous capillary model of plasma ⋮ A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach

Cites Work

• Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities
• On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient method.
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
• Stability Theory for Difference Approximations of Euler--Korteweg Equations and Application to Thin Film Flows
• On the well-posedness for the Euler-Korteweg model in several space dimensions

This page was built for publication: A generalization of the quantum Bohm identity: hyperbolic CFL condition for Euler-Korteweg equations