Self-similar solutions of two-point free boundary problem for heat equation (Nonlinear Diffusive Systems and Related Topics)
Jong‐Shenq Guo, Yoshihito Kohsaka · Institutional Repositories DataBase (IRDB) · 2002
1Introduction and main resultWe study the following two point free boundary problem:where $\beta.\cdot$and $\theta.\cdot$are given constants satisfying $\beta_{\dot{l}}\in[0,\pi/2)$ and $\theta.\cdot\in(0,\beta_{\dot{\iota}}+\pi/2)$, $i=1,2$, $\xi 01$ and $\xi 02$ are positive constants, $\mathrm{u}_{0}\in C^{2}[-\xi_{01}, \ ]$ satisfying the compatibility conditions, and $u_{0}>0$ in $(-\xi_{01},\xi oe)$ .In this problem $(u,\xi_{1},\xi_{2})$ are unknown functions to be found.