Admissibility of weak solutions for the compressible Euler equations, n ≥ 2
From MaRDI portal
Publication:5494574
DOI10.1098/rsta.2012.0351zbMath1292.35221OpenAlexW2071527578WikidataQ43718789 ScholiaQ43718789MaRDI QIDQ5494574
Publication date: 28 July 2014
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rsta.2012.0351
Euler equationsBoltzmann equationChapman-Enskog expansionadmissibility criteriaKorteweg's theory of capillarity
PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)
Related Items
A Microscopic Point of View on Singularities in Fluid Models, The Problem with Hilbert’s 6th Problem, Hilbert’s sixth problem and the failure of the Boltzmann to Euler limit, A mathematical PDE perspective on the Chapman–Enskog expansion, Thermal creep of a rarefied gas on the basis of non-linear Korteweg-theory, Entropy solutions of the compressible Euler equations, Entropy and convexity for nonlinear partial differential equations, A minimization approach to conservation laws with random initial conditions and non-smooth, non-strictly convex flux
Cites Work
- On admissibility criteria for weak solutions of the Euler equations
- From Boltzmann's kinetic theory to Euler's equations
- Generalized Burnett hydrodynamics
- Chapman-Enskog $⇒$ viscosity-capillarity
- The small dispersion limit of the korteweg-de vries equation. ii
- The small dispersion limit of the Korteweg-de Vries equation. III
- The small dispersion limit of the Korteweg-de Vries equation. I
- Convergence of solution to nonlinear dispersive equations
- Hydrodynamics from Grad's equations: What can we learn from exact solutions?
- Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow
