Strong solutions to the Navier–Stokes–Fourier system with slip–inflow boundary conditions | Zendy

Piasecki T. | Zendy; Pokorný M. | Zendy

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Strong solutions to the Navier–Stokes–Fourier system with slip–inflow boundary conditions

Author(s) -

Piasecki T.,

Pokorný M.

Publication year - 2014

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.201300014

Subject(s) - inflow , compressibility , boundary value problem , dissipation , outflow , partial differential equation , mechanics , constant (computer programming) , slip (aerodynamics) , newtonian fluid , fourier transform , flow (mathematics) , mathematical analysis , mathematics , physics , thermodynamics , computer science , meteorology , programming language

We consider a system of partial differential equations describing the steady flow of a compressible heat conducting Newtonian fluid in a three‐dimensional channel with inflow and outflow part. We show the existence of a strong solution provided the data are close to a constant, but nontrivial flow with sufficiently large dissipation in the energy equation.

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