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ASYMPTOTICAL METHODS FOR HELMHOLTZ OR NAVIER-STOKES TYPE EQUATIONS

ASYMPTOTICAL METHODS FOR HELMHOLTZ OR NAVIER-STOKES TYPE EQUATIONS

In this thesis, we study two diļ¬€erential problems which depend on a small parameter e. We study the asymptotic of the solutions when e tends to 0. The ļ¬rst problem deals with the high-frequency Helmholtz equation. We construct a non-trapping potential which does not satisfy the refocusing condition introduced by ā€¦