Research output: Contribution to journal › Article

Journal | SIAM journal on mathematical analysis |
---|---|

Date | Accepted/In press - 19 Feb 2019 |

Date | E-pub ahead of print (current) - 4 Jun 2019 |

Number of pages | 55 |

Early online date | 4/06/19 |

Original language | English |

A stochastic fractionally dissipative quasi-geostrophic type equation on ${\mathbb{R}}^{d}$ with a multiplicative Gaussian noise is considered.

We prove the existence of a martingale solution.

The construction of the solution is based on appropriate approximations,

the compactness method, and the Jakubowski version of the Skorokhod Theorem for nonmetric spaces.

In the 2D sub-critical case we also prove the pathwise uniqueness of the solutions.

We prove the existence of a martingale solution.

The construction of the solution is based on appropriate approximations,

the compactness method, and the Jakubowski version of the Skorokhod Theorem for nonmetric spaces.

In the 2D sub-critical case we also prove the pathwise uniqueness of the solutions.

© 2019, Society for Industrial and Applied Mathematics

- Stochastic quasi-geostrophic equations, fractional Laplacian, martingale solution, pathwise uniqueness, Bessel potential

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