Academic Journal

On the blow-up of the solution of a -dimensional thermal–electrical model.

التفاصيل البيبلوغرافية
العنوان: On the blow-up of the solution of a -dimensional thermal–electrical model.
المؤلفون: Artemeva, M. V.1 (AUTHOR) artemeva.mv14@physics.msu.ru, Korpusov, M. O.1,2 (AUTHOR)
المصدر: Theoretical & Mathematical Physics. May2024, Vol. 219 Issue 2, p748-760. 13p.
مصطلحات موضوعية: *CLASSICAL solutions (Mathematics), *ELECTRIC fields, *BLOWING up (Algebraic geometry), *NONLINEAR equations
مستخلص: We consider a -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. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index