On the boundedness of the Stokes semigroup in two-dimensional exterior domains
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Publication:1319330
DOI10.1007/BF03025722zbMath0794.35070MaRDI QIDQ1319330
Werner Varnhorn, Wolfgang Borchers
Publication date: 31 August 1994
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174530
nonstationary Stokes equationsFredholm boundary integral equationsexterior domains of \(\mathbb{R}^ 2\)fractional powers of the Stokes operatorstrong decay properties
Stokes and related (Oseen, etc.) flows (76D07) Fredholm integral equations (45B05) Initial value problems for linear higher-order PDEs (35G10) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Higher-order parabolic equations (35K25)
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Cites Work
- Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
- Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain
- On the solutions of a class of equations occurring in continuum mechanics, with application to the Stokes paradox
- An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions
- On an integral equation for the two-dimensional exterior Stokes problem
- \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
- On the semigroup of the Stokes operator for exterior domains in L q- spaces
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- On nonstationary solutions of the Navier-Stokes equations in an exterior domain
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Estimates for solutions of nonstationary Navier-Stokes equations
- On the Navier-Stokes initial value problem. I
- Application of potential theory to the solution of a linearized system of Navier-Stokes equations in the two-dimensional case
- A solution formula for the Stokes equation in Rn+
- Efficient boundary element methods for three-dimensional exterior viscous flows
- The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
- The stokes–system in exterior domains:existence, uniqueness, and regularity of solutions in lp–spaces.
- Schauder estimates for boundary layer potentials
- Buckling of an Elastic Strut Made of a Nonlocal Material
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Fractional powers of operators
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
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