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Dutto, Patrick; Impagliazzo, Jean-Luc; Novotny, Antonin

Schauder estimates for steady compressible Navier-Stokes equations in bounded domains. (English) Zbl 0897.35062

Rend. Semin. Mat. Univ. Padova 98, 125-139 (1997).
Summary: Using the method of decomposition of the kinetic field into compressible and incompressible parts, we prove existence of solutions and derive estimates in Hölder classes of continuous functions for steady compressible Navier-Stokes equations in bounded domains. The result is valid for small external data, e.g. we consider only subsonic flows, near the equilibrium.

Cited in 1 Document

MSC:

35Q30 Navier-Stokes equations
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics

Keywords:

decomposition of the kinetic field; existence; estimates in Hölder classes; steady compressible Navier-Stokes equations; bounded domains; small external data
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References:

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