A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology

Díaz Díaz, Jesús IldefonsoTello, L.2023-06-202023-06-2019990010-0757https://hdl.handle.net/20.500.14352/59742We 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”.engA nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatologyjournal articlehttp://collectanea.ub.edu/index.php/Collectanea/article/view/3958/4807http://collectanea.ub.edu/open access517.9Ecuaciones diferenciales1202.07 Ecuaciones en Diferencias