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math.AP2016
Scalar Green Function Bounds for Instantaneous Shock Location and One-dimensional Stability of Viscous Shock Waves
Yingwei Li
In this paper, we investigate and prove the nonlinear stability of viscous shock wave solutions of a scalar viscous conservation law, using the methods developed for general system…
math.AP2016
Point-wise Stability of Reaction Diffusion Fronts
Yingwei Li
Using pointwise semigroup techniques, we establish sharp rates of decay in space and time of a perturbed reaction diffusion front to its time-asymptotic limit. This recovers result…