On The Asymptotic Behavior of Some Heat Functions
| Autor: | Hui-chun Li, 李惠君 |
|---|---|
| Rok vydání: | 1999 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 88 Myshkis (1997) studied the following heat conduction problem: let u(x,t) be the temperature at position x = (x1,x2,…,xd) and time t of a homogeneous medium filling up the whole Rd. Suppose u = 0 at t = 0 and a heat impulse of size b is applied at x = 0. A heat impulse of the same size is applied again at x = 0 at time t1 when u(0,t1) = u0, i.e., when temperature at x = 0 decreases to a given value u0 > 0. This process is repeated indefinitely. Denote by t0 = 0, t1, t2,… the sequence of time that a heat impulse of size b is applied at x = 0. By solving the heat equation, we have u(x,t) for tn=0且0 |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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