Euler equations in fluid dynamics: good and bad news

DOI10.1007/978-3-031-55260-1_2MaRDI QIDQ6613485

Publication date: 2 October 2024

Euler system convex integration semigroup selection

Ill-posed problems for PDEs (35R25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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Renormalization group analysis of turbulence. I: Basic theory
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Semiflow selection and Markov selection theorems
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Randomness in compressible fluid flows past an obstacle
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Solution semiflow to the isentropic Euler system
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ON THE SELECTION OF A MARKOV PROCESS FROM A SYSTEM OF PROCESSES AND THE CONSTRUCTION OF QUASI-DIFFUSION PROCESSES
The ℎ-principle and the equations of fluid dynamics
Computing oscillatory solutions of the Euler system via 𝒦-convergence
Global Ill‐Posedness of the Isentropic System of Gas Dynamics
Weak Solutions to Problems Involving Inviscid Fluids
A generalization of a problem of Steinhaus
On the computation of measure-valued solutions
Hyperbolic Conservation Laws in Continuum Physics
Glimm’s method and density of wild data for the Euler system of gas dynamics ^*
On the density of ``wild initial data for the barotropic Euler system

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