Global weak solutions of non-isothermal front propagation problem
Bo Su, Martin Burger · Electronic Research Announcements of the American Mathematical Society · 2007
We show the global existence of weak solutions for a free-boundary problem arising in the non-isothermal crystallization of polymers. In particular, the free interface is shown to be of codimension one for every time $t$ in two space dimensions; Hölder continuity of the temperature $u$ is proven.