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- Kwon, Bongsuk
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ASYMPTOTIC BEHAVIOR OF MULTIDIMENSIONAL SCALAR RELAXATION SHOCKS
- Author(s)
- Kwon, Bongsuk, Zumbrun, Kevin
- Issued Date
- 2009-12
- Citation
- JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, v.6, no.4, pp.663 - 708
- Abstract
- 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.
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- ISSN
- 0219-8916
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