Corner defects in almost planar interface propagation Défauts faibles en propagation d ’ interfaces planes

@inproceedings{HaragusCornerDI,
  title={Corner defects in almost planar interface propagation D{\'e}fauts faibles en propagation d ’ interfaces planes},
  author={Mariana Haragus and Arnd Scheel}
}
We study existence and stability of interfaces in reaction-diffusion systems which are asymptotically planar. The problem of existence of corners is reduced to an ordinary differential equation that can be viewed as the travelling-wave equation to a viscous conservation law or variants of the Kuramoto-Sivashinsky equation. The corner typically but not always points in the direction opposite to the direction of propagation. For the existence and stability problem, we rely on a spatial dynamics… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 64 references

Travelling-waves of the Kuramoto-Sivashinsky equation: period-multiplying bifurcations

P. Kent, J. Elgin
Nonlinearity 5 • 1992
View 4 Excerpts
Highly Influenced

Quadratic differential equations and non-associative algebras

L. Markus
Contributions to the theory of nonlinear oscillations, Vol. V, Princeton Univ. Press, Princeton, N.J. • 1960
View 3 Excerpts
Highly Influenced

Dynamics of modulated waves in electrical lines with dissipative elements.

Physical review. E, Statistical, nonlinear, and soft matter physics • 2009
View 3 Excerpts

Defects in Oscillatory Media: Toward a Classification

SIAM J. Applied Dynamical Systems • 2004
View 7 Excerpts

Saarloos, Front propagation into unstable states

W. van
2003
View 1 Excerpt

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