Uniform estimates for Stokes equations in a domain with a small hole and applications in homogenization problems
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Publication:2236834
DOI10.1007/s00526-021-02104-4zbMath1479.35368arXiv1510.01678OpenAlexW3201258528WikidataQ115386356 ScholiaQ115386356MaRDI QIDQ2236834
Publication date: 26 October 2021
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.01678
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Boundary value problems for second-order elliptic systems (35J57)
Related Items (4)
Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent \(\gamma > 3\) ⋮ Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains ⋮ Stress blow-up analysis when suspending rigid particles approach boundary in 3D Stokes flow ⋮ Homogenization of stationary Navier-Stokes-Fourier system in domains with tiny holes
Cites Work
- Unnamed Item
- On uniform estimates for Laplace equation in balls with small holes
- Solutions of the divergence operator on John domains
- Homogenization of stationary Navier-Stokes equations in domains with tiny holes
- Homogenization and singular limits for the complete Navier-Stokes-Fourier system
- Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary
- Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates
- Some uniform elliptic estimates in a porous medium
- The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains
- Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
- Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
- Homogenization and porous media
- The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains
- Homogenization of the evolutionary Navier-Stokes system
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- A decomposition technique for John domains
- Homogenization of the compressible Navier–Stokes equations in a porous medium
- Estimates for the Stokes operator in Lipschitz domains
- Radial symmetry forp-harmonic functions in exterior and punctured domains
- The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier–Stokes system
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