RT Journal Article
T1 On the Newton partially flat minimal resistance body type problems
A1 Díaz Díaz, Jesús Ildefonso
A1 Comte, M.
AB We study the flat region of stationary points of the functional integral(Omega) F(|del u(x)|) dx under the constraint u <= M, where Omega is a bounded domain in R-2. Here F( s) is a function which is concave for s small and convex for s large, and M > 0 is a given constant. The problem generalizes the classical minimal resistance body problems considered by Newton. We construct a family of partially flat radial solutions to the associated stationary problem when Omega is a ball. We also analyze some other qualitative properties. Moreover, we show the uniqueness of a radial solution minimizing the above mentioned functional. Finally, we consider nonsymmetric domains Omega and provide sufficient conditions which ensure that a stationary solution has a flat part.
PB European Mathematical Society
SN 1435-9855
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/49974
UL https://hdl.handle.net/20.500.14352/49974
LA eng
DS Docta Complutense
RD 19 abr 2025