A Lipschitz semigroup approach to two-dimensional Navier-Stokes equations

DOI10.1016/j.na.2009.09.023zbMath1198.47076OpenAlexW2044313527MaRDI QIDQ2654006

Naoki Tanaka, Yoshikazu Kobayashi

Publication date: 15 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.09.023

zbMATH Keywords

Navier-Stokes equationmild solutionssemigroup of Lipschitz operatorsintegral solutionsdissipative conditionmetric-like functionaltangential condition

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20)

Related Items (2)

The abstract Cauchy problem for dissipative operators with respect to metric-like functionals ⋮ A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type

Cites Work

• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
• A Nonlinear semigroup approach to the navier—stokes system
• Differential Equations on Closed Subsets of a Banach Space
• Differential Equations on Closed Subsets of a Banach Space
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Semigroups of Lipschitz operators.
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