Document Type
Article
Publication Date
2012
Abstract
This paper examines the effect of damping on a nonstrictly hyperbolic 2 x 2 system. It is shown that the growth of singularities is not restricted as in the strictly hyperbolic case where dissipation can be strong enough to preserve the smoothness of solutions globally in time. Here, irrespective of the stabilizing properties of damping, solutions are found to break down in finite time on a line where two eigenvalues coincide in state space.
Journal Name
Quarterly of Applied Mathematics
Recommended Citation
Saxton, Katarzyna; Saxton, Ralph, On the influence of damping in hyperbolic equations with parabolic degeneracy. Quart. Appl. Math. 70 (2012), no. 1, 171–180.
Comments
Preprint