Separable solutions of Cattaneo-Hristov heat diffusion equation in a line segment: Cauchy and source problems
نویسندگان
چکیده
منابع مشابه
Solutions of diffusion equation for point defects
An analytical solution of the equation describing diffusion of intrinsic point defects in semiconductor crystals has been obtained for a one-dimensional finite-length domain with the Robin-type boundary conditions. The distributions of point defects for different migration lengths of defects have been calculated. The exact analytical solution was used to verify the approximate numerical solutio...
متن کاملWeak Solutions to the Cauchy Problem of a Semilinear Wave Equation with Damping and Source Terms
In this paper we prove local existence of weak solutions for a semilinear wave equation with power-like source and dissipative terms on the entire space R. The main theorem gives an alternative proof of the local in time existence result due to J. Serrin, G. Todorova and E. Vitillaro, and also some extension to their work. In particular, our method shows that sources that are not locally Lipsch...
متن کاملNumerical Computation Based on the Method of Fundamental Solutions for a Cauchy Problem of Heat Equation
In this article, we consider a Cauchy problem of heat equation, that is, determining the unknown temperature and heat flux at an inaccessible boundary from scattered temperature measurements on an accessible boundary or in some interior locations. This method is similar to the boundary control approach proposed by Leevan Ling and Tomoya Takeuchi in [1] where the authors considered a Cauchy prob...
متن کاملMinimal Solutions of the Heat Equation and Uniqueness of the Positive Cauchy Problem on Homogeneous Spaces
The minimal positive solutions of the heat equation on A' X (-00, 7") are determined for X a homogeneous Riemannian space. A simple proof of uniqueness for the positive Cauchy problem on a homogeneous space is given using Choquet's theorem and the explicit form of these solutions. Introduction. A minimal solution of a linear elliptic or parabolic equation is a nonnegative solution u such that, ...
متن کاملCattaneo-type subdiffusion-reaction equation.
Subdiffusion in a system in which mobile particles A can chemically react with static particles B according to the rule A+B→B is considered within a persistent random-walk model. This model, which assumes a correlation between successive steps of particles, provides hyperbolic Cattaneo normal diffusion or fractional subdiffusion equations. Starting with the difference equation, which describes ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Alexandria Engineering Journal
سال: 2021
ISSN: 1110-0168
DOI: 10.1016/j.aej.2020.12.018