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- Margaret Beck, Christopher K. R. T. Jones, David Schaeffer, Martin Wechselberger
- SIAM J. Applied Dynamical Systems
- 2008

The electrical dynamics in the heart is modeled by a two-component PDE. Using geometric singular perturbation theory, it is shown that a traveling pulse solution, which corresponds to a singleâ€¦ (More)

- Margaret Beck
- 2008

Stable localised roll structures have been observed in many physical problems and model equations, notably in the 1D Swiftâ€“Hohenberg equation. Reflection-symmetric localised rolls are often found toâ€¦ (More)

- Margaret Beck, JÃ¼rgen Knobloch, David J. B. Lloyd, BjÃ¶rn Sandstede, Thomas Wagenknecht
- SIAM J. Math. Analysis
- 2009

Stable localized roll structures have been observed in many physical problems and model equations, notably in the 1D Swiftâ€“Hohenberg equation. Reflection-symmetric localized rolls are often found toâ€¦ (More)

The stability of traveling wave solutions of scalar, viscous conservation laws is investigated by decomposing perturbations into three components: two far-field components and one near-fieldâ€¦ (More)

- Margaret Beck, Arjen Doelman, Tasso J. Kaper
- J. Nonlinear Science
- 2006

Bioremediation is a promising technique for cleaning contaminated groundwater and soil. We study a bioremediation model involving a substrate (contaminant to be removed), electron acceptor (addedâ€¦ (More)

- Margaret Beck, C. Eugene Wayne
- SIAM J. Applied Dynamical Systems
- 2009

The large-time behavior of solutions to the Burgers equation with small viscosity is described using invariant manifolds. In particular, a geometric explanation is provided for a phenomenon known asâ€¦ (More)

This special session focuses on the dynamic properties of fluids and nonlinear waves arsing in systems such as Euler equations, kinetic equations, nonlinear Schrodinger equations, nonlinear waveâ€¦ (More)

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 embedded neutralâ€¦ (More)

- Margaret Beck
- 2009

Reaction-diffusion equations on the real line that contain a control parameter are investigated. Of interest are travelling front solutions for which the rest state behind the front undergoes aâ€¦ (More)

Quasi-stationary, or metastable, states play an important role in two-dimensional turbulent fluid flows where they often emerge on time-scales much shorter than the viscous time scale, and thenâ€¦ (More)