Homogeneous statistical solutions and local energy inequality for 3D Navier-Stokes equations
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Publication:863160
DOI10.1007/s00220-006-0009-1zbMath1106.76017OpenAlexW2038041017MaRDI QIDQ863160
Publication date: 25 January 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-006-0009-1
Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) Statistical solutions of Navier-Stokes and related equations (76D06)
Related Items (9)
Global existence for the critical dissipative surface quasi-geostrophic equation ⋮ A scaling and energy equality preserving approximation for the 3D Navier-Stokes equations in the finite energy case ⋮ Suitable solutions for the Navier-Stokes problem with an homogeneous initial value ⋮ Weak-strong uniqueness in weighted \(L^2\) spaces and weak suitable solutions in local Morrey spaces for the MHD equations ⋮ Global and local existence for the dissipative critical SQG equation with small oscillations ⋮ Spatially homogeneous solutions of 3D stochastic Navier-Stokes equations and local energy inequality ⋮ Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations ⋮ Characterisation of the pressure term in the incompressible Navier-Stokes equations on the whole space ⋮ Non-decaying solutions to the critical surface quasi-geostrophic equations with symmetries
Cites Work
- Hausdorff measure and the Navier-Stokes equations
- Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations
- Mathematical Problems of Statistical Hydromechanics
- Partial regularity of suitable weak solutions of the navier-stokes equations
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