scholarly journals Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation

2013 ◽  
Vol 1 (3) ◽  
pp. 455-506 ◽  
Author(s):  
Benjamin Jourdain ◽  
Julien Reygner
Keyword(s):  
Parabolic Equation ◽  
Quasilinear Parabolic Equation ◽  
Propagation Of Chaos ◽  
Time Behaviour ◽  
Interacting Diffusions ◽  
Long Time Behaviour ◽  
Long Time ◽  
Quasilinear Parabolic

On the Long-time Behaviour of the Quasilinear Parabolic Equation

2010 ◽  
Author(s):  
P. G. Geredeli ◽  
A. Kh. Khanmamedov ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Parabolic Equation ◽  
Quasilinear Parabolic Equation ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time ◽  
Quasilinear Parabolic

scholarly journals Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Zhong Bo Fang ◽  
Yan Chai
Keyword(s):  
Boundary Condition ◽  
Parabolic Equation ◽  
Neumann Boundary Condition ◽  
Blow Up ◽  
Quasilinear Parabolic Equation ◽  
Neumann Boundary ◽  
Initial Boundary ◽  
Blow Up Analysis ◽  
Inner Absorption ◽  
Quasilinear Parabolic

We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee thatu(x,t)exists globally or blows up at some finite timet*. Moreover, an upper bound fort*is derived. Under somewhat more restrictive conditions, a lower bound fort*is also obtained.

scholarly journals Long-time behaviour of a thermomechanical model for adhesive contact

2011 ◽  
Vol 4 (2) ◽  
pp. 273-309 ◽  
Author(s):  
Elena Bonetti ◽  
◽  
Giovanna Bonfanti ◽  
Riccarda Rossi ◽  
◽  
...  
Keyword(s):  
Adhesive Contact ◽  
Time Behaviour ◽  
Thermomechanical Model ◽  
Long Time Behaviour ◽  
Long Time

Long time behaviour of diffusing particles in constrained geometries; application to chromatin motion

2006 ◽  
Vol 18 (14) ◽  
pp. S235-S243 ◽  
Author(s):  
A Rosa ◽  
F R Neumann ◽  
S M Gasser ◽  
A Stasiak
Keyword(s):  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time
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