scholarly journals A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions

2012 ◽  
Vol 57 (2) ◽  
pp. 143-165 ◽  
Author(s):  
Jamol I. Baltaev ◽  
Milan Kučera ◽  
Martin Väth
Keyword(s):  
Boundary Conditions ◽  
Variational Approach ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Type Boundary

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>

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