Existence and approximate controllability results for time-fractional stochastic Navier-Stokes equations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917000200060928 |
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| author | Chaudhary, Renu Reich, Simeon Nieto, Juan J. |
| author_facet | Chaudhary, Renu Reich, Simeon Nieto, Juan J. |
| contents | This paper deals with time-fractional stochastic Navier-Stokes equations, which are characterized by the coexistence of stochastic noise and a fractional power of the Laplacian. We establish sufficient conditions for the existence and approximate controllability of a unique mild solution to time-fractional stochastic Navier-Stokes equations. Using a fixed point technique, we first demonstrate the existence and uniqueness of a mild solution to the equation under consideration. We then establish approximate controllability results by using the concepts of fractional calculus, semigroup theory, functional analysis and stochastic analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_17173 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence and approximate controllability results for time-fractional stochastic Navier-Stokes equations Chaudhary, Renu Reich, Simeon Nieto, Juan J. Optimization and Control Dynamical Systems This paper deals with time-fractional stochastic Navier-Stokes equations, which are characterized by the coexistence of stochastic noise and a fractional power of the Laplacian. We establish sufficient conditions for the existence and approximate controllability of a unique mild solution to time-fractional stochastic Navier-Stokes equations. Using a fixed point technique, we first demonstrate the existence and uniqueness of a mild solution to the equation under consideration. We then establish approximate controllability results by using the concepts of fractional calculus, semigroup theory, functional analysis and stochastic analysis. |
| title | Existence and approximate controllability results for time-fractional stochastic Navier-Stokes equations |
| topic | Optimization and Control Dynamical Systems |
| url | https://arxiv.org/abs/2408.17173 |