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AIMS Mathematics

2018, Volume 3, Issue 4: 539-553. doi: 10.3934/Math.2018.4.539
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Lp-solutions of the Navier-Stokes equation with fractional Brownian noise

  • 1.
    Dipartimento di Matematica, Università di Pavia, via Ferrata 5, 27100 Pavia, Italy
  • 2.
    Departamento de Matemática, Universidade Estadual de Campinas, Rua Sergio Buarque de Holanda 651, 13083-859 Campinas, SP, Brazil
  • Received: 07 September 2018 Accepted: 06 November 2018 Published: 14 November 2018

  • We study the Navier-Stokes equations on a smooth bounded domain $D\subset \mathbb R^d$ ($d = 2$ or 3), under the effect of an additive fractional Brownian noise. We show local existence and uniqueness of a mild $L^p$-solution for $p>d$.

    Citation: Benedetta Ferrario, Christian Olivera. Lp-solutions of the Navier-Stokes equation with fractional Brownian noise[J]. AIMS Mathematics, 2018, 3(4): 539-553. doi: 10.3934/Math.2018.4.539

    Related Papers:

  • We study the Navier-Stokes equations on a smooth bounded domain $D\subset \mathbb R^d$ ($d = 2$ or 3), under the effect of an additive fractional Brownian noise. We show local existence and uniqueness of a mild $L^p$-solution for $p>d$.


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