Well-posedness of two pseudo-parabolic problems for electrical conduction in heterogeneous media

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:493

Article

Amar, M.¹  Andreucci, D.¹  Gianni, R.²  Timofte, C.³ 

[1] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via A Scarpa 16, I-00161 Rome, Italy

[2] Univ Firenze, Dipartimento Matemat & Informat, Via Santa Marta 3, I-50139 Florence, Italy

[3] Univ Bucharest, Fac Phys, POB MG-11, Bucharest, Romania

关键词: Existence and uniqueness;    Laplace-Beltrami operator;    Interfaces;    Pseudo-parabolic equations;   

DOI  :  10.1016/j.jmaa.2020.124533

来源: Elsevier

【 摘 要 】

We prove a well-posedness result for two pseudo-parabolic problems, which can be seen as two models for the same electrical conduction phenomenon in heterogeneous media, neglecting the magnetic field. One of the problems is the concentration limit of the other one, when the thickness of the dielectric inclusions goes to zero. The concentrated problem involves a transmission condition through interfaces, which is mediated by a suitable Laplace-Beltrami type equation. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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