An approximate solution of a case of perturbed Fokker-Planck equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912582430883840 |
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| author | Luo, Yan Sheng, Kaicheng |
| author_facet | Luo, Yan Sheng, Kaicheng |
| contents | This paper focuses on finding an approximate solution of a kind of Fokker-Planck equation with time-dependent perturbations. A formulation of the approximate solution of the equation is constructed, and then the existence of the formulation is proved. The related Hamiltonian dynamical system explains the estimations. Our work provides a more comprehensive understanding of the behaviour of systems described by this Fokker-Planck equation and the corresponding stochastic differential equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18131 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An approximate solution of a case of perturbed Fokker-Planck equation Luo, Yan Sheng, Kaicheng Probability Analysis of PDEs This paper focuses on finding an approximate solution of a kind of Fokker-Planck equation with time-dependent perturbations. A formulation of the approximate solution of the equation is constructed, and then the existence of the formulation is proved. The related Hamiltonian dynamical system explains the estimations. Our work provides a more comprehensive understanding of the behaviour of systems described by this Fokker-Planck equation and the corresponding stochastic differential equation. |
| title | An approximate solution of a case of perturbed Fokker-Planck equation |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2502.18131 |