Forward speed motions of a submerged body. The cauchy problem | Zendy

Hamdache K. | Zendy; Nedelec J. C. | Zendy

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Forward speed motions of a submerged body. The cauchy problem

Author(s) -

Hamdache K.,

Nedelec J. C.

Publication year - 1984

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670060123

Subject(s) - mathematics , uniqueness , cauchy problem , initial value problem , mathematical analysis , operator (biology) , zero (linguistics) , limit (mathematics) , motion (physics) , differential operator , classical mechanics , physics , biochemistry , chemistry , linguistics , philosophy , repressor , transcription factor , gene

We consider the linearized problem for the ideal fluid flow induced by the horizontal motion of a fully immersed body. The system of equations is made up of an elliptic problem (P) and an initialvalue problem (R) which are coupled by a pseudo‐differential operator T. We define a regularized Cauchy problem (Rϵ) using the Yosida approximation of T ; we give energy and wave resistance estimates and finally we obtain existence uniqueness and regularity of the weak solution of (R) by taking the limit when ϵ goes to zero.

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