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The Transport of Finite-Dimensional Contact Elements

  • P. Constantin
  • C. Foias
  • B. Nicolaenko
  • R. Teman
Part of the Applied Mathematical Sciences book series (AMS, volume 70)

Abstract

Let u(t) = S(t)uo be a solution of
$$\frac{{du}}{{dt}} + N\left( u \right) = \frac{{du}}{{dt}} + Au + R\left( u \right) = 0,$$
(2.1)
$$u\left( 0 \right) = {u_0},$$
(2.2)
where we choose R(u) of the form R(u) = B(u, u)+Cu + f, with a constant fH, a linear operator C, and a bilinear operator B (both of lower differential order than A).

Keywords

Lower Order Term Contact Element Spectral Projector Distinct Eigenvalue Integral Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • P. Constantin
    • 1
  • C. Foias
    • 2
  • B. Nicolaenko
    • 3
  • R. Teman
    • 4
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA
  3. 3.Center for Nonlinear StudiesLos Alamos National LaboratoryLos AlamosUSA
  4. 4.Department de MathematiquesUniversité de Paris-SudOrsayFrance

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