RT Journal Article
T1 A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology
A1 Díaz Díaz, Jesús Ildefonso
A1 Tello, L.
AB We present some results on the mathematical treatment of a global twodimensional diffusive climate model. The model is based on a long time averaged energy balance and leads to a nonlinear parabolic equation for the averaged surface temperature. The spatial domain is a compact two-dimensional Riemannian manifold without boundary simulating the Earth. We prove the existence of bounded weak solutions via a fixed point argument. Although, the uniqueness of solutions may fail, in general, we give a uniqueness criterion in terms of the behaviour of the solution near its “ice caps”.
PB Universidad de Barcelona
SN 0010-0757
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/59742
UL https://hdl.handle.net/20.500.14352/59742
LA eng
DS Docta Complutense
RD 11 abr 2025