On the blow-up of the solution of a nonlinear system of equations of a thermal-electrical model

DOI10.1134/s0001434623110202OpenAlexW4392780421MaRDI QIDQ6154081

M. O. Korpusov, A. Yu. Perlov, A. V. Timoshenko, R. S. Shafir

Publication date: 19 March 2024

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623110202

zbMATH Keywords

Green's functionsolution blow-upelectric field potentialfirst boundary value problem for heat equationmethods of nonlinear capacity and test functions

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs in connection with semiconductor devices (35Q81)

Cites Work

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• On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type

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