Geodesic
New analytical formulae and theorems for the wave resistance
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 3, pp. 72-84

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Wave resistance is an important characteristic of bodies floating on a free surface or moving under it. A significant number of works pioneered by Lord Kelvin (1887) have been devoted to determination of this characteristic. The problem was studied by such eminent scientists as J. H. Michell, T. H. Havelock, L. N. Sretenskii, N. E. Kochin, M. V. Keldysh, M. A. Lavrentiev, and by many others. The overwhelming majority of investigations were carried out in the framework of the linear wave theory. Successes of the nonlinear theory are much more modest and can be characterized by the almost utter absence of accurate analytical results. A simple exact analytical formula for the wave resistance of a two-dimensional body, which moves in a fluid of finite depth, is presented in this work. Two theorems on the wave resistance are proved.
Keywords: two-dimensional body, potential flow, gravity waves, free surface, wave resistance. 
@article{UZKU_2015_157_3_a9,
     author = {D. V. Maklakov},
     title = {New analytical formulae and theorems for the wave resistance},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {72--84},
     publisher = {mathdoc},
     volume = {157},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a9/}
}
TY  - JOUR
AU  - D. V. Maklakov
TI  - New analytical formulae and theorems for the wave resistance
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2015
SP  - 72
EP  - 84
VL  - 157
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a9/
LA  - ru
ID  - UZKU_2015_157_3_a9
ER  - 
%0 Journal Article
%A D. V. Maklakov
%T New analytical formulae and theorems for the wave resistance
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2015
%P 72-84
%V 157
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a9/
%G ru
%F UZKU_2015_157_3_a9
D. V. Maklakov. New analytical formulae and theorems for the wave resistance. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 3, pp. 72-84. http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a9/