Statistical solutions to the barotropic Navier-Stokes system

DOI10.1007/s10955-020-02577-1zbMath1455.35172arXiv2003.04431OpenAlexW3101944538MaRDI QIDQ2202301

Eduard Feireisl, Francesco Fanelli

Publication date: 18 September 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04431

zbMATH Keywords

Markov semigroupscompressible Navier-Stokes systemstatistical solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Applications of stochastic analysis (to PDEs, etc.) (60H30) Navier-Stokes equations (35Q30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Compressible Navier-Stokes equations (76N06)

Related Items (5)

Compressible fluid motion with uncertain data ⋮ Probabilistic descriptions of fluid flow: a survey ⋮ Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method ⋮ Randomness in compressible fluid flows past an obstacle ⋮ Ergodic theory for energetically open compressible fluid flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
• Convergence of time averages of weak solutions of the three-dimensional Navier-Stokes equations
• Weak-strong uniqueness for measure-valued solutions
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model
• On the Skorokhod topology
• Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Statistical solutions of hyperbolic conservation laws: foundations
• Stochastically forced compressible fluid flows
• Nonuniqueness of weak solutions to the Navier-Stokes equation
• Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
• Statistical study of Navier-Stokes equations. II
• Large-time behaviour of solutions to the Navier-Stokes equations of compressible flow
• Statistical solutions and Onsager's conjecture
• Upper and lower bounds for the Bregman divergence
• Dissipative solutions and semiflow selection for the complete Euler system
• Convex integration and phenomenologies in turbulence
• Solution semiflow to the isentropic Euler system
• Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations
• Markov selections for the 3D stochastic Navier-Stokes equations
• Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations
• Stochastic-Process Limits
• Onsager's Conjecture for Admissible Weak Solutions
• On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains
• Mathematical Problems of Statistical Hydromechanics
• ON THE SELECTION OF A MARKOV PROCESS FROM A SYSTEM OF PROCESSES AND THE CONSTRUCTION OF QUASI-DIFFUSION PROCESSES
• Statistical solutions of the Navier–Stokes equations on the phase space of vorticity and the inviscid limits
• Compressible Navier--Stokes System with General Inflow-Outflow Boundary Data
• Local strong solutions to the stochastic compressible Navier–Stokes system
• A General Chain Rule for Distributional Derivatives
• Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
• $L_p$-Theory for a Class of Non-Newtonian Fluids
• A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics

This page was built for publication: Statistical solutions to the barotropic Navier-Stokes system