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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.