Asymptotic integration of a parabolic system of equations

1988 ◽  
Vol 27 (4) ◽  
pp. 302-308
Author(s):  
E. Kazakevicius
Keyword(s):  
Parabolic System ◽  
Asymptotic Integration ◽  
System Of Equations ◽  
Parabolic System Of Equations

scholarly journals On some classes of coefficient inverse problems for parabolic systems of equations with the ovedetermination date of evolutionary type

2015 ◽  
Vol 11 (3) ◽  
pp. 51-57
Author(s):  
Ekaterina M Korotkova
Keyword(s):  
Inverse Problems ◽  
Parabolic System ◽  
Local Existence ◽  
Parabolic Systems ◽  
System Of Equations ◽  
Systems Of Equations ◽  
Local Existence Theorem ◽  
Coefficient Inverse Problems ◽  
Boundary Operators ◽  
Parabolic System Of Equations

The article is devoted to the question of wellposedness in the Sobolev spaces of inverse problems on determining the righthand side and coefficients in a parabolic system of equations. The overdetermination conditions are the values of a part of the vector of solutions on some system of surfaces. Under special conditions on the boundary operators the local existence theorem of solutions to the problem is established.

Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions

Analysis ◽  
2015 ◽  
Vol 35 (4) ◽  
Author(s):  
Karoline Disser
Keyword(s):  
Boundary Conditions ◽  
Parabolic System ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Well Posedness ◽  
System Of Equations ◽  
Quasilinear Parabolic System ◽  
Interface Diffusion ◽  
Quasilinear Parabolic ◽  
Parabolic System Of Equations

AbstractIn this paper, we consider a quasilinear parabolic system of equations describing coupled bulk and interface diffusion, including mixed boundary conditions. The setting naturally includes non-smooth domains Ω. We show local well-posedness using maximal

Computational Models on Graphs for Nonlinear Hyperbolic and Parabolic System of Equations

2008 ◽  
pp. 43-43 ◽  
Author(s):  
Yaroslav A. Kholodov ◽  
Alexander S. Kholodov ◽  
Nikolai V. Kovshov ◽  
Sergey S. Simakov ◽  
Dmitri S. Severov ◽  
...  
Keyword(s):  
Parabolic System ◽  
Computational Models ◽  
System Of Equations ◽  
Parabolic System Of Equations

scholarly journals Multitype Branching Brownian Motion and Traveling Waves

2014 ◽  
Vol 46 (01) ◽  
pp. 217-240
Author(s):  
Yan-Xia Ren ◽  
Ting Yang
Keyword(s):  
Brownian Motion ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Critical Value ◽  
System Of Equations ◽  
Moment Conditions ◽  
Asymptotic Behaviors ◽  
Branching Brownian Motion ◽  
Parabolic System Of Equations

In this article we study the parabolic system of equations which is closely related to a multitype branching Brownian motion. Particular attention is paid to the monotone traveling wave solutions of this system. Provided with some moment conditions, we show the existence, uniqueness, and asymptotic behaviors of such waves with speed greater than or equal to a critical value c̲ and nonexistence of such waves with speed smaller than c̲.

Multitype Branching Brownian Motion and Traveling Waves

2014 ◽  
Vol 46 (1) ◽  
pp. 217-240
Author(s):  
Yan-Xia Ren ◽  
Ting Yang
Keyword(s):  
Brownian Motion ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Critical Value ◽  
System Of Equations ◽  
Moment Conditions ◽  
Asymptotic Behaviors ◽  
Branching Brownian Motion ◽  
Parabolic System Of Equations

In this article we study the parabolic system of equations which is closely related to a multitype branching Brownian motion. Particular attention is paid to the monotone traveling wave solutions of this system. Provided with some moment conditions, we show the existence, uniqueness, and asymptotic behaviors of such waves with speed greater than or equal to a critical value c̲ and nonexistence of such waves with speed smaller than c̲.

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