A lower bound for the principal eigenvalue of the Stokes operator in a random domain

DOI10.1214/07-AIHP136zbMath1173.82333arXiv0804.1415OpenAlexW2040503493MaRDI QIDQ731447

V. V. Jurinskii

Publication date: 7 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1415

zbMATH Keywords

Stokes flowprincipal eigenvaluerandom porous mediumchess-board structureinfinite volume asymptoticsscaled random potential

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Estimates of eigenvalues in context of PDEs (35P15) Stokes and related (Oseen, etc.) flows (76D07) Other physical applications of random processes (60K40) Navier-Stokes equations (35Q30) Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Random linear operators (47B80)

Related Items (2)

A refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations ⋮ Constraint-induced restriction and extension operators with applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectrum bottom and largest vacuity
• Capacity and principal eigenvalues: The method of enlargement of obstacles revisited
• Infinite volume asymptotics of the ground state energy in a scaled Poissonian potential
• Linear and quasilinear elliptic equations
• Localization of spectrum bottom for the Stokes operator in a random porous medium

This page was built for publication: A lower bound for the principal eigenvalue of the Stokes operator in a random domain