Heat conduction: a telegraph-type model with self-similar behavior of solutions

Details Heat conduction: a telegraph-type model with self-similar behavior of solutions Heat conduction: a telegraph-type model with self-similar behavior of solutions

2010-02-04

arxiv.org/abs/1002.0999v1

J. Phys. A: Math. Theor. 43 (2010) 375210

Physics

Mathematical Physics

5 Pages, 2 Figures, it will be submitted to Physical Review

Scientific paper

For heat flux $q$ and temperature $T$ we introduce a modified Fourier--Cattaneo law $q_t+ l \frac{q}{t}= - kT_x .$ The consequence of it is a non-autonomous telegraph-type equation. % $\epsilon S_{tt} + \frac{a}{t} S_t = S_{xx}$ . This model already has a typical self-similar solution which may be written as product of two travelling waves modulo a time-dependent factor and might play a role of intermediate asymptotics.

Affiliated with

Also associated with

No associations

Rating

Heat conduction: a telegraph-type model with self-similar behavior of solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Heat conduction: a telegraph-type model with self-similar behavior of solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heat conduction: a telegraph-type model with self-similar behavior of solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-155052