A large class of solutions for the instationary Navier-Stokes system

DOI10.1007/s00028-009-0025-7zbMath1239.76026OpenAlexW1988890245MaRDI QIDQ423366

Paul Felix Riechwald, Katrin Schumacher

Publication date: 2 June 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-009-0025-7

zbMATH Keywords

Navier-Stokes equationsvery weak solutionlargest data class

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items (2)

Global Leray-Hopf Weak Solutions of the Navier-Stokes Equations with Nonzero Time-dependent Boundary Values ⋮ Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality

Cites Work

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• The instationary Stokes equations in weighted Bessel-potential spaces
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• Very weak solutions to the stationary Stokes and Stokes resolvent problem in weighted function spaces
• Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\)
• A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data
• Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension

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