Analyse mathématique des mouvements des rigides dans un fluide parfait

Abstract : In this thesis we study the motion of rigid bodies in an incompressible perfect fluid. In the first part we study the potential fluids. The model problem is the motion of a disc in a half plan where we study the shocks between the disc and the wall. This problem is linked to the study of Neumann problems which depend on the trajectory of the disc. We generalize our results to the case of several bodies. We prove that the equations reduce to a system of ordinary differential equations on a finite dimensional manifold. The second part is devoted to the study of general case. We use the results developed in the previous part to transform the system of partial differential equations into a system of ordinary differential equations on a infinite dimensional manifold. So we obtain the local existence and uniqueness of the solution.
Complete list of metadatas

Cited literature [37 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/tel-01748225
Contributor : Thèses Ul <>
Submitted on : Thursday, March 29, 2018 - 11:28:58 AM
Last modification on : Thursday, April 12, 2018 - 1:59:12 AM
Long-term archiving on : Thursday, September 13, 2018 - 11:19:57 PM

File

SCD_T_2008_0146_HOUOT.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : tel-01748225, version 1

Collections

Citation

Jean-Gabriel Houot. Analyse mathématique des mouvements des rigides dans un fluide parfait. Mathématiques générales [math.GM]. Université Henri Poincaré - Nancy 1, 2008. Français. ⟨NNT : 2008NAN10146⟩. ⟨tel-01748225⟩

Share

Metrics

Record views

121

Files downloads

32