On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures

Author:

Bulíček Miroslav,Consiglieri Luisa,Málek Josef

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference23 articles.

1. Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli, that slip at solid boundaries;Bulíček;SIAM J. Math. Anal.,2009

2. Lehrbuch der Theoretischen Physik. Band VI: Hydrodynamik;Landau,1966

3. M. Bulíček, L. Consiglieri, J. Málek, Slip boundary effects on unsteady flows of incompressible viscous heat conducting fluids with a non-linear internal energy/temperature and heat flux/temperature gradient relationships, Math. Models Methods Appl. Sci. (2010) (submitted for publication).

4. Weak solutions for a class of non-Newtonian fluids with energy transfer;Consiglieri;J. Math. Fluid Mech.,2000

5. A Navier–Stokes–Fourier system for incompressible fluids with temperature dependent material coefficients;Bulíček;Nonlinear Anal. RWA,2009

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