scholarly journals Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions

2020 ◽  
Vol 0 (0) ◽  
pp. 1-20
Author(s):  
Vandana Sharma ◽  
Keyword(s):  
Global Existence ◽  
Mass Transport ◽  
Boundary Conditions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Uniform Estimates ◽  
Estimates Of Solutions ◽  
Diffusion Systems ◽  
Type Boundary ◽  
Transport Type

scholarly journals Global existence of solutions to reaction diffusion systems with mass transport type boundary conditions on an evolving domain

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Vandana Sharma ◽  
Jyotshana V. Prajapat
Keyword(s):  
Mass Transport ◽  
Boundary Conditions ◽  
Existence Of Solutions ◽  
Global Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Global Existence Of Solutions ◽  
Diffusion Systems ◽  
Type Boundary ◽  
Transport Type

<p style='text-indent:20px;'>We consider reaction diffusion systems where components diffuse inside the domain and react on the surface through mass transport type boundary conditions on an evolving domain. Using a Lyapunov functional and duality arguments, we establish the existence of component wise non-negative global solutions.</p>

Global Existence for Quadratic Systems of Reaction-Diffusion

2007 ◽  
Vol 7 (3) ◽  
Author(s):  
Laurent Desvillettes ◽  
Klemens Fellner ◽  
Michel Pierre ◽  
Julien Vovelle
Keyword(s):  
Global Existence ◽  
Weak Solutions ◽  
A Priori ◽  
Reaction Diffusion ◽  
Quadratic Systems ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
L Log L

AbstractWe prove global existence in time of weak solutions to a class of quadratic reaction-diffusion systems for which a Lyapounov structure of L log L-entropy type holds. The approach relies on an a priori dimension-independent L

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