Higher integrability of solutions to generalized Stokes system under perfect slip boundary conditions
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Publication:2257395
DOI10.1007/s00021-014-0190-5zbMath1309.35089OpenAlexW2072866791MaRDI QIDQ2257395
Publication date: 25 February 2015
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-014-0190-5
PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Unnamed Item
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- Interior a priori estimates for solutions of fully nonlinear equations
- Boundary regularity in variational problems
- Gradient estimates for a class of parabolic systems
- \(L^q\) theory for a generalized Stokes system
- Boundary regularity of flows under perfect slip boundary conditions
- Calderón-Zygmund estimates for higher order systems with \(p(x)\) growth
- The singular set of minima of integral functionals
- Interpolation operators in Orlicz--Sobolev spaces
- Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
- Fractional estimates for non-differentiable elliptic systems with general growth
- A decomposition technique for John domains
- On L^p-integrability in PDE's and quasiregular mappings for large exponents
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