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arXiv · 1903.11224

Existence and Regularity of Weak Solutions for a Thermoelectric Model

Xing-Bin Pan·Zhibing Zhang
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Abstract

This paper concerns a time-independent thermoelectric model with two different boundary conditions. The model is a nonlinear coupled system of the Maxwell equations and an elliptic equation. By analyzing carefully the nonlinear structure of the equations, and with the help of the De Giorgi-Nash estimate for elliptic equations, we obtain existence of weak solutions on Lipschitz domains for general boundary data. Using Campanato's method, we establish regularity results of the weak solutions.

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Xing-Bin Pan, Zhibing Zhang. 2019-03-27. Existence and Regularity of Weak Solutions for a Thermoelectric Model. https://doi.org/10.1088/1361-6544/ab1453

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