Global-in-time solvability of a nonlinear system of equations of a thermal–electrical model with quadratic nonlinearity

М. О. Корпусов, A. Yu. Perlov, Alexander V. Timoshenko, Р. С. Шафир

Type: Article

Publication Date: 2023-11-01

Citations: 9

DOI: https://doi.org/10.1134/s0040577923110090

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Theoretical and Mathematical Physics - View

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Works That Cite This (9)

Action	Title	Year	Authors
+	Numerical Diagnostics of Solution Blow-Up in a Thermoelectric Semiconductor Model	2024	М. О. Корпусов Р. С. Шафир A. K. Matveeva
+	THE CAUCHY PROBLEM FOR AN NONLINEAR WAVE EQUATION	2024	Margarita Vitalievna Artemeva М. О. Корпусов
+	О существовании непродолжаемого решения задачи Коши одной $(3+1)$-мерной тепло-электрической модели	2024	Margarita Vitalievna Artemeva М. О. Корпусов
+	On the existence of a nonextendable solution of the Cauchy problem for a $$(3+1)$$-dimensional thermal–electrical model	2024	Margarita Vitalievna Artemeva М. О. Корпусов
+	On the blow-up of the solution of a $$(1+1)$$-dimensional thermal–electrical model	2024	Margarita Vitalievna Artemeva М. О. Корпусов
+	On the Existence of a Nonextendable Solution of the Cauchy problem for a $$(1+1)$$-Dimensional Thermal-Electrical Model	2024	Margarita Vitalievna Artemeva М. О. Корпусов
+	On the blow-up of the solution of a $(1+1)$-dimensional thermal-electrical model	2024	Margarita Vitalievna Artemeva М. О. Корпусов
+	The Cauchy Problem for a Nonlinear Wave Equation	2024	Margarita Vitalievna Artemeva М. О. Корпусов
+	К вопросу о разрешимости задачи Коши одной тепло-электрической модели	2025	Margarita Vitalievna Artemeva М. О. Корпусов Alexander Anatolyevich Panin

Works Cited by This (6)

Action	Title	Year	Authors
+	On the general theory of operator semigroups	1994	G. A. Sviridyuk
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva
+	On the blow-up of the solution of an equation related to the Hamilton-Jacobi equation	2013	М. О. Корпусов
+	Partial Differential Equations of Parabolic Type	2004	Allaberen Ashyralyev П. Е. Соболевский
+	On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation	2015	Alexander Anatolyevich Panin
+	On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type	2020	М. О. Корпусов А. Н. Панин A. E. Shishkov