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Dissertation Information for Raoofi Mohammadreza

NAME:
- Raoofi Mohammadreza

DEGREE:
- Ph.D.

DISCIPLINE:
- Mathematics

SCHOOL:
- Indiana University (USA) (2005)

ADVISORS:
- Kevin Zumbrun

COMMITTEE MEMBERS:
- Robert Glassey
- David Hoff
- Shouhong Wang

MPACT Status: Incomplete - Not_Inspected

Title: Asymptotic behavior of perturbed viscous shock profiles

Abstract: We investigate the L p asymptotic behavior (1 ≤ p ≤ ∞) of a perturbation of a Lax or overcompressive type shock wave solution to a system of conservation law in one dimension. The system of the equations can be strictly parabolic, or partially parabolic (real viscosity case, e.g., compressible Navier-Stokes equations or equations of Magnetohydrodynamics). We use known pointwise Green function bounds for the linearized equation around the shock to show that the perturbation of such a solution can be decomposed into a part corresponding to shift in shock position or shape, a part which is the sum of diffusion waves, i.e., the solutions to a viscous Burger's equation, conserving the initial mass and connecting away from the shock profile in outgoing modes, and another part which is more rapidly decaying in any L p norm.

MPACT Scores for Raoofi Mohammadreza

A = 0
C = 0
A+C = 0
T = 0
G = 0
W = 0
TD = 0
TA = 0
calculated 2010-09-22 20:01:15

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