ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL
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Publication:5305542
DOI10.1142/S0218202510004179zbMath1194.35302MaRDI QIDQ5305542
Manuel Luna-Laynez, Juan Casado-Díaz, Francisco Javier Suárez-Grau
Publication date: 22 March 2010
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Cites Work
- Unnamed Item
- On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries
- On the asymptotic limit of flows past a ribbed boundary
- Periodic unfolding and homogenization
- Why viscous fluids adhere to rugose walls: A mathematical explanation.
- An adaptation of the multi-scale methods for the analysis of very thin reticulated structures
- The Stokes equations with Fourier boundary conditions on a wall with asperities
- Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
- Influence of wall roughness on the slip behaviour of viscous fluids
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Two-scale convergence for nonlinear Dirichlet problems in perforated domains
- The asymptotic behaviour near the boundary of periodic homogenization problems via two-scale convergence