On a contact problem for a system of parabolic equations in the thermal conductivity of electric machines: II

1990 ◽  
Vol 13 (3) ◽  
pp. 249-261
Author(s):  
Romuald Małecki ◽  
Paweł Olszewski ◽  
Jacek Urbanowicz ◽  
Wojciech Urbański
Keyword(s):  
Thermal Conductivity ◽  
Contact Problem ◽  
Parabolic Equations ◽  
Electric Machines ◽  
System Of Parabolic Equations

scholarly journals Multidimensional computational models of gas combustion in heterogeneous porous medium

2021 ◽  
Vol 2099 (1) ◽  
pp. 012010
Author(s):  
Yu Laevsky ◽  
T Nosova
Keyword(s):  
Porous Medium ◽  
Parabolic Equations ◽  
Computational Models ◽  
Front Propagation ◽  
Original Model ◽  
Gas Mixture ◽  
Heterogeneous Porous Medium ◽  
Gas Combustion ◽  
Piecewise Constant ◽  
System Of Parabolic Equations

Abstract The processes of filtration gas combustion in heterogeneous porous medium is studying. The presence of two opposite modes of front propagation made it possible to stabilize the combustion front in a composite porous medium with piecewise constant porosity. A feature of this study is the presentation of the original model not in the traditional form of a system of parabolic equations, but in the form of integral conservation laws in terms of the temperature of the porous medium, the total gas enthalpy, and the mass of gas mixture, and the fluxes corresponding to these functions.

Porous metal model for calculating slot thermal conductivity coefficient of electric machines

2017 ◽  
Vol 111 ◽  
pp. 981-988 ◽  
Author(s):  
Xiaomei Liu ◽  
Haitao Yu ◽  
Zhenchuan Shi ◽  
Lei Huang ◽  
Tao Xia ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Thermal Conductivity Coefficient ◽  
Porous Metal ◽  
Electric Machines

A NOTE ON THE STABILITY OF STATIONARY SOLUTIONS TO A SYSTEM OF CHEMOTAXIS

2000 ◽  
Vol 02 (03) ◽  
pp. 373-383
Author(s):  
TAKASHI SUZUKI
Keyword(s):  
Parabolic Equations ◽  
Original System ◽  
Stationary Problem ◽  
Stationary Solutions ◽  
Slime Molds ◽  
System Of Parabolic Equations ◽  
Variational Structure ◽  
Cellular Slime ◽  
Stable Solutions ◽  
The Stability

In 1970 a system of parabolic equations was proposed by Keller and Segel to describe the chemotactic feature of cellular slime molds. It has L1 preserving property for the first component and in use of this the stationary problem is reduced to a single elliptic problem concerning the second component. This problem has a variational structure and several features of the solutions are derived from it. In this paper we study linearized stable solutions in this sense and show that any of them is stable as a stationary solution to the original system of parabolic equations.

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