Global existence of solutions to the incompressible Navier–Stokes–Vlasov equations in a time-dependent domain

Laurent Boudin; Céline Grandmont; Ayman Moussa

doi:10.1016/j.jde.2016.10.012

Global existence of solutions to the incompressible Navier–Stokes–Vlasov equations in a time-dependent domain

Journal of Differential Equations ◽

10.1016/j.jde.2016.10.012 ◽

2017 ◽

Vol 262 (3) ◽

pp. 1317-1340 ◽

Cited By ~ 6

Author(s):

Laurent Boudin ◽

Céline Grandmont ◽

Ayman Moussa

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Time Dependent ◽

Navier Stokes ◽

Global Existence Of Solutions ◽

Vlasov Equations ◽

Time Dependent Domain ◽

Dependent Domain

Download Full-text

Global existence of solutions to Navier–Stokes equations in cylindrical domains

Applicationes Mathematicae ◽

10.4064/am36-2-5 ◽

2009 ◽

Vol 36 (2) ◽

pp. 169-182 ◽

Cited By ~ 2

Author(s):

Bernard Nowakowski ◽

Wojciech M. Zajączkowski

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Global Existence Of Solutions ◽

Cylindrical Domains

Download Full-text

Global existence of solutions to the compressible Navier–Stokes equation around parallel flows

Journal of Differential Equations ◽

10.1016/j.jde.2011.06.020 ◽

2011 ◽

Vol 251 (11) ◽

pp. 3248-3295 ◽

Cited By ~ 5

Author(s):

Yoshiyuki Kagei

Keyword(s):

Global Existence ◽

Stokes Equation ◽

Existence Of Solutions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Global Existence Of Solutions ◽

Parallel Flows

Download Full-text

Global existence of solutions to the Cauchy problem for time‐dependent Hartree equations

Journal of Mathematical Physics ◽

10.1063/1.522642 ◽

1975 ◽

Vol 16 (5) ◽

pp. 1122-1130 ◽

Cited By ~ 84

Author(s):

J. M. Chadam ◽

R. T. Glassey

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Existence Of Solutions ◽

Time Dependent ◽

Global Existence Of Solutions ◽

The Cauchy Problem

Download Full-text

Global existence of solutions to 1-d Euler equations with time-dependent damping

Nonlinear Analysis ◽

10.1016/j.na.2015.11.022 ◽

2016 ◽

Vol 132 ◽

pp. 327-336 ◽

Cited By ~ 18

Author(s):

Xinghong Pan

Keyword(s):

Global Existence ◽

Euler Equations ◽

Existence Of Solutions ◽

Time Dependent ◽

Global Existence Of Solutions

Download Full-text

An embedded boundary method for the Navier–Stokes equations on a time-dependent domain

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2012.7.1 ◽

2012 ◽

Vol 7 (1) ◽

pp. 1-31 ◽

Cited By ~ 16

Author(s):

Gregory Miller ◽

David Trebotich

Keyword(s):

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Boundary Method ◽

Time Dependent Domain ◽

Embedded Boundary ◽

Dependent Domain ◽

Embedded Boundary Method

Download Full-text

A quasi-Lagrangian finite element method for the Navier–Stokes equations in a time-dependent domain

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.01.024 ◽

2018 ◽

Vol 333 ◽

pp. 55-73 ◽

Cited By ~ 9

Author(s):

Alexander Lozovskiy ◽

Maxim A. Olshanskii ◽

Yuri V. Vassilevski

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Dependent Domain ◽

Lagrangian Finite Element ◽

Dependent Domain ◽

Element Method

Download Full-text

Existence and periodicity of weak solutions of the Navier-Stokes equations in a time dependent domain

Hiroshima Mathematical Journal ◽

10.32917/hmj/1206133644 ◽

1982 ◽

Vol 12 (3) ◽

pp. 513-528 ◽

Cited By ~ 37

Author(s):

Tetsuro Miyakawa ◽

Yoshiaki Teramoto

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Dependent Domain ◽

Dependent Domain

Download Full-text

Global existence of solutions of the Dirichlet problem for the compressible Navier-Stokes equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200310080 ◽

2004 ◽

Vol 84 (6) ◽

pp. 417-424 ◽

Cited By ~ 11

Author(s):

P.B. Mucha ◽

W.M. Zaj??czkowski

Keyword(s):

Dirichlet Problem ◽

Global Existence ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Global Existence Of Solutions

Download Full-text

Global existence of solutions for one-dimensional compressible navier-stokes equations in the half space

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60181-6 ◽

2010 ◽

Vol 30 (6) ◽

pp. 1889-1905

Author(s):

Wang Shujuan ◽

Zhao Junning

Keyword(s):

Global Existence ◽

Half Space ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Global Existence Of Solutions

Download Full-text

Corrigendum to “Global existence of solutions to 2-D Navier–Stokes flow with non-decaying initial data in half-plane” [J. Differential Equations 265 (10) (2018) 5352–5383]

Journal of Differential Equations ◽

10.1016/j.jde.2018.09.019 ◽

2019 ◽

Vol 266 (7) ◽

pp. 3925-3926

Author(s):

Paolo Maremonti ◽

Senjo Shimizu

Keyword(s):

Initial Data ◽

Global Existence ◽

Differential Equations ◽

Half Plane ◽

Stokes Flow ◽

Existence Of Solutions ◽

Navier Stokes ◽

Global Existence Of Solutions

Download Full-text