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Stability Result for Navier–Stokes Equations with Entropy Transport

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Abstract

A stability result for the compressible Navier–Stokes system with transport equation for entropy s is shown. The proof comes as an outcome of the isentropic case and additional properties of the effective viscous flux. We deal with the pressure term in the form \({\rho^{\gamma}e^{s}}\) with adiabatic index \({\gamma>3\slash 2}\); therefore the crucial renormalization method is restricted.

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  1. Institute of Mathematics AS CR, Žitná 25, 115 67, Prague 1, Czech Republic

    Martin Michálek

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  1. Martin Michálek
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Correspondence to Martin Michálek.

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Communicated by E. Feireisl

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Michálek, M. Stability Result for Navier–Stokes Equations with Entropy Transport. J. Math. Fluid Mech. 17, 279–285 (2015). https://doi.org/10.1007/s00021-015-0205-x

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  • DOI: https://doi.org/10.1007/s00021-015-0205-x

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