Stationary solutions of two-dimensional heterogeneous energy models with multiple species

• Autorzy: Annegret Glitzky , Rolf Hünlich
• Języki publikacji: EN

Abstrakty

EN

We investigate stationary energy models in heterostructures consisting of continuity equations for all involved species, of a Poisson equation for the electrostatic potential and of an energy balance equation. The resulting strongly coupled system of elliptic differential equations has to be supplemented by mixed boundary conditions. If the boundary data are compatible with thermodynamic equilibrium then there exists a unique steady state. We prove that in a suitable neighbourhood of such a thermodynamic equilibrium there exists a unique steady state, too. Our proof is based on the Implicit Function Theorem and on regularity results for systems of strongly coupled elliptic differential equations with mixed boundary conditions and non-smooth data.

Kategorie tematyczne

• 80A20: Heat and mass transfer, heat flow
• 35R05: Partial differential equations with discontinuous coefficients or data

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 66
• Numer: 1
• Strony: 135-151

Daty

wydano

2004

Twórcy

autor

Annegret Glitzky

• Weierstrass Institute, for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany

autor

Rolf Hünlich

• Weierstrass Institute, for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany

Identyfikatory

DOI

10.4064/bc66-0-9