ELFT HÍRADÓ

[Van Peter <vpet AT phyndi.fke.bme.hu>]

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17. Termodinamikai Tea


2003. februar 11. kedd, 14.00
BME, Ke'miai Fizika Tansze'k, Budafoki u't 8. F. e'p. III. lcsh.
I. em. jobbra.

Raphael Hauser (Oxford University Computing Laboratory, UK)

The role of Farkas' lemma in thermodynamics.

Joint work with Nina Kirchner.

Abstract: In rational thermodynamics, the entropy principle of Muller 
and Liu is an important tool for deriving restrictions on the a priori 
unknown constitutive relations between the basic fields on the body under
investigation and the material-specific physical quantities which
enter the field equations. A central role in this approach is played 
by a lemma of Liu which gives necessary and sufficient conditions for
a linear inequality on a finite-dimensional space to be implied by a
given finite set of linear equalities. It has long not been recognized
that this lemma is a special case of a well-known classical result by 
Farkas and Minkowski related to the duality theory of linear
programming and to convex separation. We discuss these links with 
an emphasis on the underlying geometry. 

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Kozreadta: Van Peter