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A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity

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Abstract.

We consider Navier-Stokes equations with a pressure-dependent viscosity. Under suitable assumptions on the external force and on the initial data, we prove that the Cauchy-Dirichlet problem for the evolution equations admits a unique solution.

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Authors and Affiliations

  1. Dipartimento di Scienze T.A., via Cavour 84, 15100 Alessandria (Italy), e-mail: Gazzola@venere.unial.it, , , , , , IT

    F. Gazzolad

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  1. F. Gazzolad
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Received: December 18, 1996

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Gazzolad, F. A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity. Z. angew. Math. Phys. 48, 760–773 (1997). https://doi.org/10.1007/s000330050063

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  • DOI: https://doi.org/10.1007/s000330050063

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