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Lp-solutions for stochastic Navier–Stokes equations with jump noise
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Publication details
| Journal | Statistics and Probability Letters |
|---|---|
| Date | Accepted/In press - 27 Jul 2019 |
| Date | E-pub ahead of print - 1 Aug 2019 |
| Date | Published (current) - 1 Dec 2019 |
| Volume | 155 |
| Number of pages | 9 |
| Early online date | 1/08/19 |
| Original language | English |
Abstract
We study the existence and uniqueness of solutions of 2D Stochastic Navier–Stokes equation with space irregular jump noise for initial data in certain Sobolev spaces of negative order. Comparing with the Galerkin approximation method, the main advantage of this work is to use an Lp-setting to obtain the solution under much weaker assumptions on the noise and the initial condition.
- L-theory, Poisson random measure, Stochastic Navier–Stokes equation
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