HEAT CONTENT ASYMPTOTICS OF AN INHOMOGENEOUS TIME-DEPENDENT PROCESSES

2000 ◽  
Vol 15 (18) ◽  
pp. 1165-1179 ◽  
Author(s):  
PETER GILKEY ◽  
JEONG HYEONG PARK
Keyword(s):  
Heat Source ◽  
Boundary Conditions ◽  
Specific Heat ◽  
Compact Manifold ◽  
Smooth Boundary ◽  
Heat Content ◽  
Time Dependent ◽  
Heat Content Asymptotics ◽  
Dependent Processes

Let M be a compact manifold with smooth boundary. We study the heat content asymptotics on M which are defined by a time-dependent metric gt, by a time-dependent heat source, by time-dependent boundary conditions, and by a time-dependent specific heat.

The heat content asymptotics of a time-dependent process

2000 ◽  
Vol 130 (2) ◽  
pp. 307-312 ◽  
Author(s):  
M. van den Berg ◽  
P. Gilkey
Keyword(s):  
Heat Source ◽  
Boundary Conditions ◽  
Compact Manifold ◽  
Smooth Boundary ◽  
Heat Content ◽  
Time Dependent ◽  
Time Dependent Process ◽  
Dependent Process ◽  
Heat Content Asymptotics

Let M be a compact manifold with smooth boundary. We study the heat content asymptotics on M defined by a time-dependent heat source and time-dependent boundary conditions.

scholarly journals Heat Content Asymptotics for Riemannian Manifolds with Zaremba Boundary Conditions

2007 ◽  
Vol 26 (3) ◽  
pp. 225-254 ◽  
Author(s):  
M. van den Berg ◽  
P. Gilkey ◽  
K. Kirsten ◽  
V. A. Kozlov
Keyword(s):  
Boundary Conditions ◽  
Riemannian Manifolds ◽  
Heat Content ◽  
Heat Content Asymptotics

BAYESIAN ESTIMATION OF A TIME DEPENDENT INTERNAL HEAT SOURCE IN A HETEROGENEOUS MEDIA

2016 ◽  
Author(s):  
Carolina Palma Naveira Cotta ◽  
Kelvin Chen ◽  
Christopher Tostado ◽  
Philippe Rollemberg d'Egmont ◽  
Fernando Duda ◽  
...  
Keyword(s):  
Heat Source ◽  
Bayesian Estimation ◽  
Heterogeneous Media ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Time Dependent
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