Abstract
Considering the simplified Navier–Stokes equations for the motion of a viscous gas under the adherence condition, we define a weak solution and prove an existence theorem by means of a priori estimates.
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Lukina, E.V. Global Solutions of Multidimensional Approximate Navier–Stokes Equations of a Viscous Gas. Siberian Mathematical Journal 44, 311–321 (2003). https://doi.org/10.1023/A:1022941022328
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DOI: https://doi.org/10.1023/A:1022941022328