dc.contributor.author 
Plakhov, A. Y. 

dc.contributor.author 
Torres, D. 

dc.date.accessioned 
20081205T10:58:59Z 

dc.date.available 
20081205T10:58:59Z 

dc.date.issued 
20050601 

dc.identifier.citation 
Plakhov , A Y & Torres , D 2005 , ' Newton's aerodynamic problem in media of chaotically moving particles ' Matematicheskii Sbornik , vol 196 , no. 6 , pp. 885933 . 
en 
dc.identifier.issn 
10645616 

dc.identifier.other 
PURE: 88712 

dc.identifier.other 
dspace: 2160/1408 

dc.identifier.uri 
http://hdl.handle.net/2160/1408 

dc.description 
Plakhov, A.Y.; Torres, D., (2005) 'Newton's aerodynamic problem in media of chaotically moving particles', Sbornik: Mathematics 196(6) pp.885933 RAE2008 
en 
dc.description.abstract 
The problem of minimum resistance is studied for a body moving with constant velocity in a rarefied medium of chaotically moving point particles in the Euclidean space . The distribution of the velocities of the particles is assumed to be radially symmetric. Under additional assumptions on the distribution function a complete classification of the bodies of least resistance is carried out. In the case of dimension three or more there exist two kinds of solution: a body similar to the solution of the classical Newton problem and a union of two such bodies `glued together' along the rear parts of their surfaces. In the twodimensional case there exist solutions of five distinct types: (a) a trapezium; (b) an isosceles triangle; (c) the union of an isosceles triangle and a trapezium with a common base; (d) the union of two isosceles triangles with a common base; (e) the union of two triangles and a trapezium. Cases (a)(d) are realized for an arbitrary velocity distribution of the particles, while case (e) is realized only for some distributions. Two limit cases are considered: when the average velocity of the particles is large and when it is small in comparison with the velocity of the body. Finally, the analytic results so obtained are used for the numerical study of a particular case: the problem of the motion of a body in a rarefied homogeneous monatomic ideal gas of positive temperature in and in . 
en 
dc.format.extent 
49 
en 
dc.language.iso 
eng 

dc.relation.ispartof 
Matematicheskii Sbornik 
en 
dc.title 
Newton's aerodynamic problem in media of chaotically moving particles 
en 
dc.type 
Text 
en 
dc.type.publicationtype 
Article (Journal) 
en 
dc.identifier.doi 
http://dx.doi.org/10.1070/SM2005v196n06ABEH000904 

dc.contributor.institution 
Institute of Mathematics & Physics (ADT) 
en 
dc.contributor.institution 
Mathematics and Physics 
en 
dc.description.status 
Peer reviewed 
en 