Stochastic energy balance climate models with Legendre weighted\n diffusion and a cylindrical Wiener process forcing

2021/11/21 by Gregorio Díaz Díaz, Díaz, Gregorio, Jesús Ildefonso Díaz Díaz +2 · 1 citation
Computer Science · Economics, Econometrics and Finance · Engineering · #35R60 #60H15 #60H30 #86A08 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Stability and Controllability of Differential Equations #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2111.10801

openalex publication_date 2021/11/21 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We consider a class of one-dimensional nonlinear stochastic parabolic\nproblems associated with Sellers and Budyko diffusive energy balance climate\nmodels with a Legendre weighted diffusion and an additive cylindrical Wiener\nprocesses forcing. Our results use in an important way that, under suitable\nassumptions on the Wiener processes, a suitable change of variables leads the\nproblem to a pathwise random PDE, hence an essentially "deterministic"\nformulation depending on a random parameter. Two applications are also given:\nthe stability of solutions when the Wiener process converges to zero and the\nasymptotic behaviour of solutions for large time.\n

Citations

• A Global Climatic Model Based on the Energy Balance of the Earth-Atmosphere System

Cited by

• Stochastic diffusive energy balance climate model with a multiplicative noise modeling the Solar variability

Related

• A new approach to stochastic evolution equations with adapted drift
• Existence and regularity of the density for the solution to semilinear dissipative parabolic SPDEs
• On the Stochastic Heat Equation with Spatially-Colored Random forcing
• Pathwise mild solutions for superlinear stochastic evolution equations and their attractors
• Some Parabolic Pdes Whose Drift is an Irregular Random Noise in Space