Stochastic energy balance climate models with Legendre weighted diffusion and a cylindrical Wiener process forcing Article Swipe
Gregorio Díaz Díaz
,
Jesús Ildefonso Díaz Díaz
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2111.10801
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2111.10801
We consider a class of one-dimensional nonlinear stochastic parabolic problems associated with Sellers and Budyko diffusive energy balance climate models with a Legendre weighted diffusion and an additive cylindrical Wiener processes forcing. Our results use in an important way that, under suitable assumptions on the Wiener processes, a suitable change of variables leads the problem to a pathwise random PDE, hence an essentially "deterministic" formulation depending on a random parameter. Two applications are also given: the stability of solutions when the Wiener process converges to zero and the asymptotic behaviour of solutions for large time.
Related Topics
Concepts
Wiener process
Mathematics
Legendre polynomials
Diffusion
Stochastic process
Forcing (mathematics)
Applied mathematics
Stability (learning theory)
Nonlinear system
Energy balance
Mathematical optimization
Mathematical analysis
Computer science
Physics
Statistics
Thermodynamics
Machine learning
Quantum mechanics
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://arxiv.org/pdf/2111.10801.pdf
- OA Status
- green
- References
- 17
- OpenAlex ID
- https://openalex.org/W3216318554
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https://openalex.org/W3216318554Canonical identifier for this work in OpenAlex
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https://doi.org/10.48550/arxiv.2111.10801Digital Object Identifier
- Title
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Stochastic energy balance climate models with Legendre weighted diffusion and a cylindrical Wiener process forcingWork title
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preprintOpenAlex work type
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enPrimary language
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2021Year of publication
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2021-11-21Full publication date if available
- Authors
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Gregorio Díaz Díaz, Jesús Ildefonso Díaz DíazList of authors in order
- Landing page
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https://arxiv.org/pdf/2111.10801.pdfPublisher landing page
- Open access
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2111.10801.pdfDirect OA link when available
- Concepts
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Wiener process, Mathematics, Legendre polynomials, Diffusion, Stochastic process, Forcing (mathematics), Applied mathematics, Stability (learning theory), Nonlinear system, Energy balance, Mathematical optimization, Mathematical analysis, Computer science, Physics, Statistics, Thermodynamics, Machine learning, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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