[BOOK][B] An introduction to the mathematical theory of the Navier-Stokes equations: Steady-state problems

G Galdi - 2011 - books.google.com
The book provides a comprehensive, detailed and self-contained treatment of the
fundamental mathematical properties of boundary-value problems related to the Navier …

Detailed proof of classical Gagliardo–Nirenberg interpolation inequality with historical remarks

A Fiorenza, MR Formica, TG Roskovec… - Zeitschrift für Analysis …, 2021 - ems.press
A carefully written Nirenberg's proof of the famous Gagliardo–Nirenberg interpolation
inequality for intermediate derivatives in Rn seems, surprisingly, to be missing in literature …

Global classical solutions to the compressible Navier-Stokes equations with slip boundary conditions in 3D exterior domains

G Cai, J Li, B Lü - arxiv preprint arxiv:2112.05586, 2021 - arxiv.org
We are concerned with the global existence of classical solutions to the barotropic
compressible Navier-Stokes equations with slip boundary condition in a three-dimensional …

Viscous flow past a translating body with oscillating boundary

T Eiter, Y Shibata - Journal of the Mathematical Society of Japan, 2025 - jstage.jst.go.jp
We study an incompressible viscous flow around an obstacle with an oscillating boundary
that moves by a translational periodic motion, and we show existence of strong time-periodic …

[HTML][HTML] Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity

Y Zhou, J Fan, G Nakamura - Applied Mathematics Letters, 2013 - Elsevier
Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

Large time behaviour for the motion of a solid in a viscous incompressible fluid

S Ervedoza, D Maity, M Tucsnak - Mathematische Annalen, 2023 - Springer
In this article, we study the long-time behaviour of a system describing the coupled motion of
a rigid body and of a viscous incompressible fluid in which the rigid body is contained. We …

On time-periodic flow of a viscous liquid past a moving cylinder

GP Galdi - Archive for Rational Mechanics and Analysis, 2013 - Springer
We show existence, uniqueness and spatial asymptotic behavior of a two-dimensional time-
periodic flow around a cylinder that moves orthogonal to its axis, with a time-periodic …

Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ3

M Dai, J Qing, M Schonbek - Communications in Partial Differential …, 2012 - Taylor & Francis
Full article: Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ3 Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains

NA Lai, M Liu, K Wakasa, C Wang - Journal of Functional Analysis, 2021 - Elsevier
In this paper we study the initial boundary value problem for two-dimensional semilinear
wave equations with small data, in asymptotically Euclidean exterior domains. We prove that …

Asymptotic Behavior of Solutions to the Liquid Crystal System in

M Dai, M Schonbek - SIAM Journal on Mathematical Analysis, 2014 - SIAM
In this paper we study the large time behavior of regular solutions to a nematic liquid crystal
system in Sobolev spaces H^m(R^3) for m≧0. We obtain optimal decay rates in H^m(R^3) …