Decay, growth, continuous dependence and uniqueness results in generalized heat conduction theories

1990 ◽  
Vol 38 (4) ◽  
pp. 231-243 ◽  
Author(s):  
A. Morro ◽  
L. E. Payne ◽  
B. Straughan
Keyword(s):  
Heat Conduction ◽  
Continuous Dependence ◽  
Uniqueness Results ◽  
Generalized Heat Conduction

Continuous Dependence on the Initial-Time Geometry in Generalized Heat Conduction

1997 ◽  
Vol 07 (01) ◽  
pp. 125-138 ◽  
Author(s):  
L. E. Payne ◽  
J. C. Song
Keyword(s):  
Heat Conduction ◽  
Initial Data ◽  
Continuous Dependence ◽  
Conduction System ◽  
Initial Time ◽  
Generalized Heat Conduction

In this paper we investigate continuous dependence on the initial-time geometry for solutions of a generalized heat conduction system. Assuming the initial data to be measured on a surface t = εF(x), for |F| < 1, and assigned at t = 0, we examine the effects of this error in the initial-time geometry on the solution both forward and backward in time.

scholarly journals Existence and Uniqueness Results for Two-Dimensional Stochastic Linearised Boussinesq Equation

2020 ◽  
Vol 6 (1) ◽  
pp. 20
Author(s):  
Sofije Hoxha ◽  
Fejzi Kolaneci
Keyword(s):  
Galerkin Method ◽  
Existence And Uniqueness ◽  
Continuous Dependence ◽  
Boussinesq Equation ◽  
Initial Condition ◽  
Two Dimensional ◽  
Boussinesq Problem ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Drainable Porosity

The water flow in saturated zones of the soil is described by two-dimensional Boussinesq equation. This paper is devoted to investigating the linearised stochastic Boussinesq problem in the presence of randomness in hydraulic conductivity, drainable porosity, recharge, evapotranspiration, initial condition and boundary condition. We use the Sabolev spaces and Galerkin method. Under some suitable assumptions, we prove the existence and uniqueness results, as well as, the continuous dependence on the data for the solution of linearised stochastic Boussinesq problem. Keywords: linearised stochastic Boussinesq equation, Galerkin method, existence and uniqueness results, and continuous dependence on the data.

scholarly journals A generalized heat conduction model of higher-order time derivatives and three-phase-lags for non-simple thermoelastic materials

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
K. M. Khalil ◽  
F. A. Mohammed ◽  
M. E. Nasr ◽  
Adam Zakaria ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Higher Order ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Three Phase ◽  
Phase Lags ◽  
Generalized Heat Conduction
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