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- Brookhaven National LaboratoryUS100 papers
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4 papers · 2 filters
Conditional stability of unstable viscous shocks
Kevin Zumbrun
Continuing a line of investigation initiated by Texier and Zumbrun on dynamics of viscous shock and detonation waves, we show that a linearly unstable Lax-type viscous shock soluti…
Asymptotic Behavior of Multidimensional Scalar Relaxation Shocks
Bongsuk Kwon, Kevin Zumbrun
We establish pointwise bounds for the Green function and consequent linearized stability for multidimensional planar relaxation shocks of general relaxation systems whose equilibri…
Stability of noncharacteristic boundary layers in the standing shock limit
Kevin Zumbrun
We investigate one- and multi-dimensional stability of noncharacteristic boundary layers in the limit approaching a standing planar shock wave , , obtaining nec…
Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic--parabolic systems
Toan Nguyen, Kevin Zumbrun
Extending investigations of Yarahmadian and Zumbrun in the strictly parabolic case, we study time-asymptotic stability of arbitrary (possibly large) amplitude noncharacteristic bou…