22 citations · 134 across the 18 of their papers we have counts for
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math.AP2008★ 22 cited
Nonlinear stability of time-periodic viscous shocks
Margaret Beck, Bjorn Sandstede, Kevin Zumbrun
In order to understand the nonlinear stability of many types of time-periodic travelling waves on unbounded domains, one must overcome two main difficulties: the presence of embedd…
math.DS2008★ 15 cited
Using global invariant manifolds to understand metastability in Burgers equation with small viscosity
Margaret Beck, C. Eugene Wayne
The large-time behavior of solutions to Burgers equation with small viscosity is described using invariant manifolds. In particular, a geometric explanation is provided for a pheno…