Geodesic
On the blow-up of the solution of a $(1+1)$-dimensional thermal–electrical model
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 2, pp. 249-262 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a $(1+1)$-dimensional thermal–electrical model of semiconductor heating in an electric field. For the corresponding initial-boundary value problem, we prove the existence of a classical solution that cannot be continued in time and obtain sufficient conditions for the blow-up of the solution in a finite time.
Keywords: nonlinear Sobolev-type equations, solution blow-up, local solvability, nonlinear capacity, blow-up time estimates. 
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M. V. Artemeva; M. O. Korpusov. On the blow-up of the solution of a $(1+1)$-dimensional thermal–electrical model. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 2, pp. 249-262. http://geodesic.mathdoc.fr/item/TMF_2024_219_2_a3/

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