- Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory
2025/03/03 by Yu Deng, Zaher Hani, Deng, Yu +3 · 28 voices · 13 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Compressibility #Compressible flow #Euler equations #Euler system #Euler's formula #Extension (predicate logic) #Gas Dynamics and Kinetic Theory #Kinetic energy #Quantum Mechanics and Applications #Work (physics)
- Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems
2020/10/15 by Moon-Jin Kang, Alexis Vasseur, Alexis F. Vasseur · 11 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Classical mechanics #Computational Fluid Dynamics and Aerodynamics #Entropy (arrow of time) #Euler equations #Euler system #Inviscid flow #Isentropic process #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Physics #Thermodynamics #Uniqueness #Viscosity
- Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model
2015/10/17 by Pierre Germain, Philippe LeFloch, Philippe G. LeFloch · 3 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Compact space #Compressibility #Compressible flow #Computational Fluid Dynamics and Aerodynamics #Convergence (economics) #Energy method #Entropy (arrow of time) #Euler equations #Euler system #Euler's formula #Limit (mathematics) #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Nonlinear system #Physics #Shock wave #Sobolev space #Thermodynamics #Viscosity