scholarly journals Traveling waves of an elliptic–hyperbolic model of phase transitions via varying viscosity–capillarity

2011 ◽  
Vol 251 (2) ◽  
pp. 439-456 ◽  
Author(s):  
Mai Duc Thanh
Keyword(s):  
Phase Transitions ◽  
Traveling Waves ◽  
Hyperbolic Model ◽  
Varying Viscosity

Traveling Waves in a Convolution Model for Phase Transitions

1997 ◽  
Vol 138 (2) ◽  
pp. 105-136 ◽  
Author(s):  
Peter W. Bates ◽  
Paul C. Fife ◽  
Xiaofeng Ren ◽  
Xuefeng Wang
Keyword(s):  
Phase Transitions ◽  
Traveling Waves ◽  
Convolution Model

scholarly journals Hyperbolic traveling waves driven by growth

2014 ◽  
Vol 24 (06) ◽  
pp. 1165-1195 ◽  
Author(s):  
Emeric Bouin ◽  
Vincent Calvez ◽  
Grégoire Nadin
Keyword(s):  
Nonlinear Stability ◽  
Traveling Waves ◽  
Hyperbolic Model ◽  
Kpp Equation ◽  
Transition Parameter ◽  
Minimal Speed ◽  
Traveling Fronts ◽  
Traveling Front ◽  
Maximal Speed ◽  
Existence And Stability

We perform the analysis of a hyperbolic model which is the analog of the Fisher-KPP equation. This model accounts for particles that move at maximal speed ϵ-1 (ϵ > 0), and proliferate according to a reaction term of monostable type. We study the existence and stability of traveling fronts. We exhibit a transition depending on the parameter ϵ: for small ϵ the behavior is essentially the same as for the diffusive Fisher-KPP equation. However, for large ϵ the traveling front with minimal speed is discontinuous and travels at the maximal speed ϵ-1. The traveling fronts with minimal speed are linearly stable in weighted L2 spaces. We also prove local nonlinear stability of the traveling front with minimal speed when ϵ is smaller than the transition parameter.

Oscillatory traveling waves in a hyperbolic model of a fluidized bed

1991 ◽  
Vol 46 (5-6) ◽  
pp. 1339-1347 ◽  
Author(s):  
G.H. Ganser ◽  
J.H. Lightbourne
Keyword(s):  
Fluidized Bed ◽  
Traveling Waves ◽  
Hyperbolic Model
Sign in / Sign up

Export Citation Format

Share Document