On the multiplicity of equilibrium solutions to a nonlinear diffusion equation on a manifold arising in climatology

Díaz Díaz, Jesús IldefonsoHernández, J.Tello Del Castillo, José Ignacio2023-06-202023-06-2019970022-247X10.1006/jmaa.1997.5691https://hdl.handle.net/20.500.14352/57390We analyze the sensitivity of a climatological model with respect to small changes in one of the distinguished parameters: the solar constant. We start by proving the stabilization of solutions of the evolution model when time tends to infinity. Later, we study the stationary problem and obtain uniqueness or a multiplicity of solutions for different Values of the solar constant.engOn the multiplicity of equilibrium solutions to a nonlinear diffusion equation on a manifold arising in climatologyjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022247X97956912http://www.sciencedirect.com/restricted access550.3positive solutionscompact manifoldsmodelsGeofísica2507 Geofísica