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A Boundary Value Problem for an Elliptic Equation with Asymmetric Coefficients in a Nonschlicht Domain

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Abstract

We propose some minimum principle for the quadratic energy functional of an elliptic boundary value problem describing a transport process with asymmetric tensor coefficients in a nonschlicht domain. We prove the existence and uniqueness of a weak solution in the energy space. The energy norm equals the entropy production rate.

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Authors and Affiliations

  1. Institute of Numerical Modeling, Krasnoyarsk

    V. V. Denisenko

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  1. V. V. Denisenko
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Denisenko, V.V. A Boundary Value Problem for an Elliptic Equation with Asymmetric Coefficients in a Nonschlicht Domain. Siberian Mathematical Journal 43, 1055–1068 (2002). https://doi.org/10.1023/A:1021169318012

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  • DOI: https://doi.org/10.1023/A:1021169318012

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