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Dynamics, Bifurcation and Symmetry pp 97–104Cite as

Non Linear Parabolic Evolutions in Unbounded Domains

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Part of the book series: NATO ASI Series ((ASIC,volume 437))

Abstract

We describe some results on the global existence in time of the semi flow generated by some non linear parabolic equations in unbounded space domains. We also discuss some interesting solutions emerging from the bifurcation of a continuous spectrum.

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References

  1. J. Bricmont, A. Kupiainen. Renormalisation group and the Ginzburg-Landau equation. Commun. Math. Phys. (1992).

    Google Scholar 

  2. P. Collet. Thermodynamic limit of the Ginzburg Landau equations. Preprint (1993).

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  3. P. Collet, J.-P. Eckmann. Space-time behavior in problems of hydrodynamic type: a case study. Non linearity 5, 1265–1302 (1992).

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  4. P. Collet, J.-P. Eckmann. Instabilities and Fronts in Extended Systems Princeton University Press, Princeton 1990.

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  5. P. Collet, J.-P. Eckmann. Solutions without phase-slip for the Ginzburg-Landau equation. Commun. Math. Phys. 145, 345–356 (1992).

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  6. A. Doelman, E.S. Titi. Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation. Numer. Funct. Anal. and Optimiz. 14, 299–321 (1993).

    Article  MathSciNet  MATH  Google Scholar 

  7. D. Henry. Geometric Theory of Semilinear Parabolic Equations Lecture Notesin Mathematics 840. Springer-Verlag, Berlin, Heidelberg, New York 1981.

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  8. A. Pazy. Semigroups of Linear Operators and Applications to Partial Differen-tial Equations Springer Verlag, Berlin Heidelberg New York (1983).

    Book  Google Scholar 

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Author information

Authors and Affiliations

  1. Centre de Physique Théorique, CNRS UPR 14 Ecole Polytechnique, F-91128, Palaiseau Cedex, France

    P. Collet

Authors
  1. P. Collet
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Editor information

Editors and Affiliations

  1. Institut Non Linéaire de Nice, CNRS — Université de Nice, Sophia Antipolis, France

    Pascal Chossat

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© 1994 Springer Science+Business Media Dordrecht

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Collet, P. (1994). Non Linear Parabolic Evolutions in Unbounded Domains. In: Chossat, P. (eds) Dynamics, Bifurcation and Symmetry. NATO ASI Series, vol 437. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0956-7_8

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  • DOI: https://doi.org/10.1007/978-94-011-0956-7_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4413-4

  • Online ISBN: 978-94-011-0956-7

  • eBook Packages: Springer Book Archive

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