We consider semi-linearized compressible Navier-Stokes equations, in a 2-dimensional periodic domain, introducing in this scheme generalized diffusive terms. After rewriting the equations in terms of a potential flow for the velocity, we prove existence and regularity for a suitable class of weak solutions.
Existence and regularity results for semi-linearized compressible 2D fluids with generalized diffusion / Luca Bisconti. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 45:(2022), pp. 977-1004. [10.1002/mma.7830]
Existence and regularity results for semi-linearized compressible 2D fluids with generalized diffusion
Luca Bisconti
2022
Abstract
We consider semi-linearized compressible Navier-Stokes equations, in a 2-dimensional periodic domain, introducing in this scheme generalized diffusive terms. After rewriting the equations in terms of a potential flow for the velocity, we prove existence and regularity for a suitable class of weak solutions.
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