stokes system
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970

(FIVE YEARS 259)

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Global Solutions of 3-D Inhomogeneous Navier-Stokes System with Large Viscosity in One Variable

Communications in Mathematical Research ◽

10.4208/cmr.2021-0040 ◽

2022 ◽

Vol 38 (1) ◽

pp. 62-80

Author(s):

Tiantian Hao

Keyword(s):

Stokes System ◽

Global Solutions ◽

Navier Stokes

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Weak solutions for the Stokes system for compressible fluids with general pressure

Journal of Differential Equations ◽

10.1016/j.jde.2021.12.011 ◽

2022 ◽

Vol 312 ◽

pp. 317-346

Author(s):

Maja Szlenk

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Compressible Fluids

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Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103389 ◽

2022 ◽

Vol 63 ◽

pp. 103389

Author(s):

Yuzhu Lei ◽

Zuhan Liu ◽

Ling Zhou

Keyword(s):

Stokes System ◽

Large Time ◽

Large Time Behavior ◽

Navier Stokes ◽

Time Behavior ◽

Logistic Source

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Intrusive and non-intrusive chaos approximation for a two-dimensional steady state Navier–Stokes system with random forcing

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-021-00235-5 ◽

2022 ◽

Author(s):

S. V. Lototsky ◽

R. Mikulevicius ◽

B. L. Rozovsky

Keyword(s):

Steady State ◽

Stokes System ◽

Navier Stokes ◽

Two Dimensional ◽

Random Forcing

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Modeling and a Robin-type decoupled finite element method for dual-porosity–Navier–Stokes system with application to flows around multistage fractured horizontal wellbore

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.114248 ◽

2022 ◽

Vol 388 ◽

pp. 114248

Author(s):

Jiangyong Hou ◽

Dan Hu ◽

Xiaoming He ◽

Changxin Qiu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes System ◽

Dual Porosity ◽

Navier Stokes ◽

Horizontal Wellbore ◽

Element Method

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Global regularity for a family of models of the axisymmetric Navier–Stokes system

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01662-z ◽

2021 ◽

Vol 73 (1) ◽

Author(s):

Zujin Zhang ◽

Caiyang Zeng

Keyword(s):

Stokes System ◽

Global Regularity ◽

Navier Stokes

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Regularity Criteria for a Ginzburg-Landau-Navier-Stokes System

Funkcialaj Ekvacioj ◽

10.1619/fesi.64.349 ◽

2021 ◽

Vol 64 (3) ◽

pp. 349-360

Author(s):

Jishan Fan ◽

Tohru Ozawa

Keyword(s):

Stokes System ◽

Regularity Criteria ◽

Navier Stokes ◽

Ginzburg Landau

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New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542521120149 ◽

2021 ◽

Vol 61 (12) ◽

pp. 2129-2136

Author(s):

M. V. Urev

Keyword(s):

Variational Problem ◽

Stokes System ◽

Right Hand ◽

Mixed Variational Problem

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Global well-posedness to a chemotaxis-Stokes system

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103374 ◽

2021 ◽

Vol 62 ◽

pp. 103374

Author(s):

Ying Yang ◽

Chunhua Jin

Keyword(s):

Stokes System ◽

Well Posedness

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ON SINGULAR SOLUTIONS OF THE STATIONARY NAVIER-STOKES SYSTEM IN POWER CUSP DOMAINS

Mathematical Modelling and Analysis ◽

10.3846/mma.2021.13836 ◽

2021 ◽

Vol 26 (4) ◽

pp. 651-668

Author(s):

Konstantinas Pileckas ◽

Alicija Raciene

Keyword(s):

Asymptotic Expansion ◽

Stokes System ◽

Boundary Value ◽

Singular Solutions ◽

Navier Stokes ◽

Asymptotic Decomposition ◽

Dirichlet Integral ◽

Existence Of A Solution ◽

Source Sink ◽

Formal Asymptotic Expansion

The boundary value problem for the steady Navier–Stokes system is considered in a 2D bounded domain with the boundary having a power cusp singularity at the point O. The case of a boundary value with a nonzero flow rate is studied. In this case there is a source/sink in O and the solution necessarily has an infinite Dirichlet integral. The formal asymptotic expansion of the solution near the singular point is constructed and the existence of a solution having this asymptotic decomposition is proved.

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