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Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field

Abstract:

We consider a particular system of equations. This system plays an important role as a Ginzburg-Landau equation with a mean field in several areas of the applied sciences and the steady-states of this system extend to periodic steady-states with period L on the real line which are observed in experiments. Our approach is by combining methods of nonlinear functional analysis such as nonlocal eigenvalue problems and the variational characterization of eigenvalues with Jacobi elliptic integrals....

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Publication date:
2007-03-19
UUID:
uuid:1234cbe7-7a08-4556-ac3a-6a06d5ccb0a4
Local pid:
oai:eprints.maths.ox.ac.uk:649
Deposit date:
2011-05-19

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