Preprint 1997-020

Relaxation Approximations to Front Propagation

Shi Jin and Marcos Katsoulakis


Abstract: We introduce a relaxation model for front propagation problems. Our proposed relaxation approximation is a semilinear hyperbolic system without singularities. It yields a direction-dependent normal velocity at the leading term and captures, in the Chapman-Enskog expansion, the higher curvature dependent correction, including possible anisotropies.


Paper:
Available as PostScript
Title:
Relaxation Approximations to Front Propagation
Author(s):
Shi Jin, <jin@math.gatech.edu>
Marcos Katsoulakis
Publishing information:
Journal of Differential Equations, 138, pp.380, 1997.
Comments:
Submitted by:
<jin@math.gatech.edu> August 5 1997.


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