Weighted resolvent estimates for the spatially periodic Stokes equations

DOI10.1007/s11565-014-0221-4zbMath1330.35342OpenAlexW2095374135MaRDI QIDQ895814

Jonas Sauer

Publication date: 7 December 2015

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-014-0221-4

zbMATH Keywords

resolvent estimatesMuckenhoupt weightsStokes equationspatially periodic

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (6)

Fully developed, doubly periodic, viscous flows in infinite space-periodic pipes under general time-periodic total fluxes ⋮ An extrapolation theorem in non-Euclidean geometries and its application to partial differential equations ⋮ Time-Periodic Linearized Navier–Stokes Equations: An Approach Based on Fourier Multipliers ⋮ Vortices in stably-stratified rapidly rotating Boussinesq convection ⋮ Instationary generalized Stokes equations in partially periodic domains ⋮ Maximal regularity of the spatially periodic stokes operator and application to nematic liquid crystal flows

Cites Work

• On the Schwartz-Bruhat space and the Paley-Wiener theorem for locally compact Abelian groups
• Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
• Maximal regularity of the time -- periodic linearized Navier-Stokes system
• The Stokes operator in weighted \(L^q\)-spaces. II: Weighted resolvent estimates and maximal \(L^p\)-regularity
• On the steady Oseen problem in the whole space
• On \(L_ p\) multipliers
• Théorie non linéaire de la stabilité des ecoulements laminaires dans le cas de 'l'echange des stabilités'
• Maximal regularity of the spatially periodic stokes operator and application to nematic liquid crystal flows
• Lp-Theory of Cylindrical Boundary Value Problems
• Restriction and extension of Fourier multipliers between weighted 𝐿^{𝑝} spaces on ℝⁿ and 𝕋ⁿ
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• A Simplified Constructive Proof of the Existence and Uniqueness of Haar Measure.
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weighted resolvent estimates for the spatially periodic Stokes equations