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2d Ladyzhenskaya-Solonnikov Problem for Inhomogeneous Fluids

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Contributions to Nonlinear Analysis

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 66))

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Abstract

We consider the Ladyzhenskaya-Solonnikov problem [5] for a stationary inhomogeneous incompressible fluid in a 2d domain. Given arbitrary fluxes for the velocity and momentum fields, we prove the existence of a weak solution.

Partially supported by Pronex/CNPq/Brazil/27697100500.

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References

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Author information

Authors and Affiliations

  1. Départment de Mathématiques & UMR 6623, Université de Franche-Comté, 16, route de Gray, 25030, Besancon Cedex, France

    Farid Ammar Khodja

  2. Departamento de Matemática, IMECC-UNICAMP, Cx. Postal 6065, 13081-970, Campinas, SP, Brazil

    Marcelo M. Santos

Authors
  1. Farid Ammar Khodja
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  2. Marcelo M. Santos
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Editor information

Editors and Affiliations

  1. Laboratoire Jacques-Louis Lions B.C. 187, Université Pierre et Marie Curie, 4, place Jussieu, 75252, Paris Cedex 05, France

    Thierry Cazenave

  2. Department of Mathematical Sciences, University of Nevada, Las Vegas, NV, 89154-4020, USA

    David Costa

  3. Instituto de Matemática, UNICAMP - IMECC, Caixa Postal: 6065, 13083-859, Campinas, SP, Brasil

    Orlando Lopes

  4. Departamento de Ingenieria Matemática Facultad de Ciencias Fisicas y Matemáticas, Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile

    Raúl Manásevich

  5. Mathematics Department, University of Wisconsin-Madison, 480 Lincoln Dr, Madison, WI, 53706-1388, USA

    Paul Rabinowitz

  6. Dipartimento di Matematica, Università degli Studi, Via Saldini 50, 20133, Milano, Italy

    Bernhard Ruf

  7. Departamento de Matemática, PUC Rio, Rua Marquês de São Vicente, 225 EdifÍcio Cardeal Leme, Gávea - Rio de Janeiro, 22453-900, Brasil

    Carlos Tomei

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Khodja, F.A., Santos, M.M. (2005). 2d Ladyzhenskaya-Solonnikov Problem for Inhomogeneous Fluids. In: Cazenave, T., et al. Contributions to Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 66. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7401-2_23

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