scholarly journals Global Well-Posedness of Strong Solutions of Doi Model with Large Viscous Stress

2019 ◽  
Vol 29 (5) ◽  
pp. 1891-1917
Author(s):  
Joonhyun La
Keyword(s):  
Strong Solutions ◽  
Well Posedness ◽  
Viscous Stress ◽  
Doi Model

scholarly journals On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Yongsheng Mi ◽  
Chunlai Mu ◽  
Weian Tao
Keyword(s):  
Cauchy Problem ◽  
Blow Up ◽  
Strong Solutions ◽  
Well Posedness ◽  
Holm Equation ◽  
Two Component ◽  
The Cauchy Problem ◽  
Blow Up Rate

We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.

scholarly journals Well-posedness and regularity results for a dynamic Von Kármán plate

1995 ◽  
Vol 18 (2) ◽  
pp. 237-244
Author(s):  
M. E. Bradley
Keyword(s):  
Strong Solutions ◽  
Free Edge ◽  
Regularity Of Solutions ◽  
Well Posedness ◽  
Boundary Damping ◽  
Von Karman ◽  
Edge Conditions ◽  
Von Kármán Plate ◽  
Regularity Results ◽  
Von Kármán

We consider the problem of well-posedness and regularity of solutions for a dynamic von Kármán plate which is clamped along one portion of the boundary and which experiences boundary damping through “free edge” conditions on the remainder of the boundary. We prove the existence of unique strong solutions for this system

scholarly journals Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows

2020 ◽  
Vol 22 (3) ◽  
Author(s):  
Xin Liu ◽  
Edriss S. Titi
Keyword(s):  
Initial Data ◽  
Three Dimensional ◽  
Strong Solutions ◽  
Viscous Flows ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Physical Vacuum ◽  
Well Posedness ◽  
Small Initial Data ◽  
Anelastic Equations

Abstract We establish the local and global well-posedness of strong solutions to the two- and three-dimensional anelastic equations of stratified viscous flows. In this model, the interaction of the density profile with the velocity field is taken into account, and the density background profile is permitted to have physical vacuum singularity. The existing time of the solutions is infinite in two dimensions, with general initial data, and in three dimensions with small initial data.

Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis

2021 ◽  
pp. 1-31
Author(s):  
Laurent Desvillettes ◽  
Valeria Giunta ◽  
Jeff Morgan ◽  
Bao Quoc Tang
Keyword(s):  
Multiple Sclerosis ◽  
Nonlinear Stability ◽  
Coming Out ◽  
Stability Result ◽  
Reaction Diffusion ◽  
Strong Solutions ◽  
Reaction Diffusion Equations ◽  
System Modelling ◽  
Well Posedness ◽  
Chemotaxis System

We consider a system of reaction–diffusion equations including chemotaxis terms and coming out of the modelling of multiple sclerosis. The global existence of strong solutions to this system in any dimension is proved, and it is also shown that the solution is bounded uniformly in time. Finally, a nonlinear stability result is obtained when the chemotaxis term is not too big. We also perform numerical simulations to show the appearance of Turing patterns when the chemotaxis term is large.

scholarly journals STRONG SOLUTIONS FOR STOCHASTIC POROUS MEDIA EQUATIONS WITH JUMPS

2009 ◽  
Vol 12 (03) ◽  
pp. 413-426 ◽  
Author(s):  
VIOREL BARBU ◽  
CARLO MARINELLI
Keyword(s):  
Porous Media ◽  
Strong Solutions ◽  
Strong Sense ◽  
Well Posedness ◽  
Independent Increments ◽  
Integrable Martingale ◽  
Porous Media Equations

We prove global well-posedness in the strong sense for stochastic generalized porous media equations driven by a square integrable martingale with stationary independent increments.

Sign in / Sign up

Export Citation Format

Share Document