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$\mathbb{L}^p-$solutions of the stochastic Navier-Stokes equations subject to Lévy noise with $\mathbb{L}^m(\mathbb{R}^m)$ initial data

  • *Corresponding author: Sivaguru S. Sritharan

    *Corresponding author: Sivaguru S. Sritharan
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  • In this work, we establish the local solvability of the stochastic Navier-Stokes equations in $\mathbb{R}^m$ , $m≥ 2$ , perturbed by Lévy noise in $\mathbb L^p-$ spaces for $p∈[m,∞)$ with an $\mathbb L^m(\mathbb{R}^m)-$ valued initial data.

    Mathematics Subject Classification: Primary: 76D06; Secondary: 35Q30, 76D03, 47D03.


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