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On dynamics of fluids in meteorology

100%

Poul L.

Open Mathematics

2008

tom 6

nr 3

422-438

We consider the full Navier-Stokes-Fourier system of equations on an unbounded domain with prescribed nonvanishing boundary conditions for the density and temperature at infinity. The topic of this article continues author’s previous works on existence of the Navier-Stokes-Fourier system on nonsmooth domains. The procedure deeply relies on the techniques developed by Feireisl and others in the series of works on compressible, viscous and heat conducting fluids.

The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains

88%

Wiśniewski D.

Annales Mathematicae Silesianae

2016

tom 30

nr 1

203-217

We investigate the behaviour of weak solutions of boundary value problems (Dirichlet, Neumann, Robin and mixed) for linear elliptic divergence second order equations in domains extending to infinity along a cone. We find an exponent of the solution decreasing rate: we derive the estimate of the weak solution modulus for our problems near the infinity under assumption that leading coefficients of the equations do not satisfy the Dini-continuity condition.

Ograniczanie wyników

1 Annales Mathematicae Silesianae

1 Open Mathematics

1 Poul L.

1 Wiśniewski D.

1 2016

1 2008

Wyniki wyszukiwania

On dynamics of fluids in meteorology

The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains