1998 Stelson Lecture - Stephan Luckhaus

Contact
No contact information submitted.
Sidebar Content
No sidebar content submitted.
Summaries

Summary Sentence:

Stelson Lecture by guest speaker Stephan Luckhaus

Full Summary:

No summary paragraph submitted.

Stephan Luckhaus is the director of the Mathematical Institute at the University of Leipzig. He has also served as chair at the University of Bonn. His areas of interest are free boundary value problems, mathematical imaging and phase transitions many-body systems.

 

 

 

 

The Stefan problem as a model for changes of phase

In a continuum physics setting, phase changes that involve either a latent heat or concentration jumps across the phase interface have been modelled by the Stefan problem. In more than one dimension the resulting equation or system can only be solved excluding metastable phenomena like undercooling. In order to explain these phenomena, surface tension, i.e., interface curvature and velocity, has been introduced into the equations. This goes under the name Gibbs Thompson law. Methods from minimal surface theory are used to construct solutions for these systems. But again there are phenomena, nucleation for example, which are not explained by the theory. The hope is that using stochastic lattice models in approprite scaling limits one may find a solution to this problem, but this has not yet been done.

Related Links

Additional Information

Groups

School of Mathematics

Categories
No categories were selected.
Related Core Research Areas
No core research areas were selected.
Newsroom Topics
No newsroom topics were selected.
Keywords
_for_math_site_
Status
  • Created By: math-csg1b
  • Workflow Status: Draft
  • Created On: Mar 22, 2017 - 11:31am
  • Last Updated: Mar 22, 2017 - 11:35am