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Abstract: This paper presents an observation that under reasonable conditions, manypartial differential equations from mathematical physics possess threestructural properties. One of them can be understand as a variant of thecelebrated Onsager reciprocal relation in Modern Thermodynamics. It displays adirect relation of irreversible processes to the entropy change. We show thatthe properties imply various entropy dissipation conditions for hyperbolicrelaxation problems. As an application of the observation, we propose anapproximation method to solve relaxation problems. Moreover, the observation isinterpreted physically and verified with eight sets of systems from differentfields.



Author: Wen-an Yong

Source: https://arxiv.org/







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