Temporal decay bounds in generalized heat conduction
نویسندگان
چکیده
منابع مشابه
Heat Conduction in Spherical Composite Vessels
This paper presents an exact analytical solution for two-dimensional conductive heat transfer in spherical composite pressure vessels .The vessels are in spherical shape and fibers are winded in circumferential direction. The analytical solution is obtained under the general boundary conditions which consist of convection, conduction and radiation inside/outside of vessel. The heat transfer equ...
متن کاملFractional decay bounds for nonlocal zero order heat equations
In this paper we obtain bounds for the decay rate for solutions to the nonlocal problem ∂tu(t, x) = R n J(x, y)[u(t, y) − u(t, x)]dy. Here we deal with bounded kernels J but with polynomial tails, that is, we assume a lower bound of the form J(x, y) ≥ c1|x − y| −(n+2σ) , for |x − y| > c2. Our estimates takes the form u(t) L q (R n) ≤ Ct − n 2σ (1− 1 q) for t large.
متن کاملHeat Conduction
Heat conduction modelling ........................................................................................................................... 1 Case studies ........................................................................................................................................... 2 Analytical solutions.........................................................................
متن کاملHeat Conduction
Heat conduction modelling ........................................................................................................................... 1 Case studies ........................................................................................................................................... 2 Analytical solutions.........................................................................
متن کاملHeat Conduction
Heat conduction modelling ........................................................................................................................... 1 Case studies ........................................................................................................................................... 2 Analytical solutions.........................................................................
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2004
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.01.039