Asymptotic behavior of multidimensional scalar relaxation shocks
by Kwon, Bongsuk, Ph.D., INDIANA UNIVERSITY, 2009, 73 pages; 3378365

Abstract:

In this thesis, we study stability and the time-asymptotic behavior of multidimensional scalar relaxation shocks. Specifically, we establish pointwise bounds for the Green function and consequent linearized stability for multidimensional planar relaxation shocks of general relaxation systems whose equilibrium model is scalar, under the necessary assumption of spectral stability. Moreover, we obtain nonlinear L2 asymptotic behavior/sharp decay rate of perturbed weak shocks of general simultaneously symmetrizable relaxation systems, under small L1 ∩ H[d/2]+3 perturbations with first moment in the normal direction to the front.
 
AdviserKevin Zumbrun
SchoolINDIANA UNIVERSITY
SourceDAI/B 70-10, p. , Dec 2009
Source TypeDissertation
SubjectsMathematics
Publication Number3378365
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