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)


Let u(t) = S(t)uo be a solution of
$$\frac{{du}}{{dt}} + N\left( u \right) = \frac{{du}}{{dt}} + Au + R\left( u \right) = 0,$$
$$u\left( 0 \right) = {u_0},$$
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).


Lower Order Term Contact Element Spectral Projector Distinct Eigenvalue Integral Manifold 
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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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