An alternative proof of \(L^q-L^r\) estimates of the Oseen semigroup in higher dimensional exterior domains
type: Item
instance of: scholarly article
title: An alternative proof of \(L^q-L^r\) estimates of the Oseen semigroup in higher dimensional exterior domains
zbMATH Open document ID: 1491.76022
author: Toshiaki Hishida
published in: SN Partial Differential Equations and Applications
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 7443625
MaRDI profile type: Publication
full work available at URL: s42985-021-00086-8
OpenAlex ID: W3144936246
Wikidata QID: Q115369984
cites work: Q3964958
cites work: On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
cites work: On the \(L_q-L_r\) estimates of the Stokes semigroup in a two-dimensional exterior domain
cites work: Remark on the \(L_q-L_\infty\) estimate of the Stokes semigroup in a 2-dimensional exterior domain
cites work: Local energy decay of solutions to the Oseen equation in the exterior domains
cites work: On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation
cites work: On the spectrum of a Stokes-type operator arising from flow around a rotating body
cites work: Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
cites work: Q5526808
cites work: Q4167065
cites work: An Introduction to the Mathematical Theory of the Navier-Stokes Equations
cites work: On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest
cites work: Q3417969
cites work: Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
cites work: An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle
cites work: On the Relation Between the Large Time Behavior of the Stokes Semigroup and the Decay of Steady Stokes Flow at Infinity
cites work: \(L^q\)-\(L^r\) estimate of the Oseen flow in plane exterior domains
cites work: Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle
cites work: Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains
cites work: Navier-Stokes flow past a rigid body: attainability of steady solutions as limits of unsteady weak solutions, starting and landing cases
cites work: \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle
cites work: \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
cites work: On \(L^{3,\infty}\)-stability of the Navier-Stokes system in exterior domains
cites work: On the Oseen equation in the three dimensional exterior domains
cites work: ON LOCAL ENERGY DECAY ESTIMATE OF THE OSEEN SEMIGROUP IN TWO DIMENSIONS AND ITS APPLICATION
cites work: ON STABILITY OF PHYSICALLY REASONABLE SOLUTIONS TO THE TWO-DIMENSIONAL NAVIER–STOKES EQUATIONS
cites work: Q4385187
cites work: On nonstationary solutions of the Navier-Stokes equations in an exterior domain
cites work: On an exterior initial-boundary value problem for Navier-Stokes equations
cites work: Q3601972
cites work: Q4273991
cites work: Estimates for solutions of nonstationary Navier-Stokes equations
cites work: Existence of a stationary Navier-Stokes flow past a rigid body, with application to starting problem in higher dimensions
DOI: 10.1007/S42985-021-00086-8
Recommended article: \(L^q\)-estimates for the stationary Oseen equations on exterior domains
Recommended article: \(L^q\)-\(L^r\) estimate of the Oseen flow in plane exterior domains
Recommended article: Q5263746
Recommended article: Generalized \(L^2\) extension theorem and a conjecture of Ohsawa
Recommended article: On sharper estimates of Ohsawa-Takegoshi \(L^2\)-extension theorem in higher dimensional case
Recommended article: Q3602124
Recommended article: On the \(L_q-L_r\) estimates of the Stokes semigroup in a two-dimensional exterior domain
Recommended article: Remark on the \(L_q-L_\infty\) estimate of the Stokes semigroup in a 2-dimensional exterior domain
Recommended article: Q4704050
Recommended article: Estimates of Oseen's Potentials in Weighted Hölder Spaces
description: scientific article; zbMATH DE number 7443625