ASYMPTOTICAL METHODS FOR HELMHOLTZ OR NAVIER-STOKES TYPE EQUATIONS

@inproceedings{Klak2011ASYMPTOTICALMF,
  title={ASYMPTOTICAL METHODS FOR HELMHOLTZ OR NAVIER-STOKES TYPE EQUATIONS},
  author={Aur{\'e}lien Klak},
  year={2011}
}
In this thesis, we study two differential problems which depend on a small parameter e. We study the asymptotic of the solutions when e tends to 0. The first problem deals with the high-frequency Helmholtz equation. We construct a non-trapping potential which does not satisfy the refocusing condition introduced by F. Castella. We prove that the Hamiltonian tra jectories (associated with this potential) issued from 0 which go back to the origin form a submanifold of dimension d − 1, where d… CONTINUE READING

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