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Generic Properties of Equilibrium Solutions by Perturbation of the Boundary

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Dynamics of Infinite Dimensional Systems

Part of the book series: NATO ASI Series ((NATO ASI F,volume 37))

Abstract

We study equilibrium solutions of

$$ u_t = \Delta u + f(x,u,\nabla u)in\Omega \subset R^n $$
(1)

(which may be a system, u=col (u1,...,up)), with boundary conditions.

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References

  1. C. FOIAS and R. TEMAM, Structure of the set of stationary solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 30 (1977), p. 149–164.

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Author information

Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, S.P., Brasil

    Daniel B. Henry

Authors
  1. Daniel B. Henry
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Michigan State University, 48824-1027, East Lansing, MI, USA

    Shui-Nee Chow

  2. Division of Applied Mathematics, Brown University, 02912, Providence, RI, USA

    Jack K. Hale

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© 1987 Springer-Verlag Berlin Heidelberg

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Henry, D.B. (1987). Generic Properties of Equilibrium Solutions by Perturbation of the Boundary. In: Chow, SN., Hale, J.K. (eds) Dynamics of Infinite Dimensional Systems. NATO ASI Series, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86458-2_15

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  • DOI: https://doi.org/10.1007/978-3-642-86458-2_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86460-5

  • Online ISBN: 978-3-642-86458-2

  • eBook Packages: Springer Book Archive

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