М. О. Корпусов

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• О разрушении решения задачи Коши для одного $(N+1)$-мерного уравнения составного типа с градиентной нелинейностью2025
• Global-In-Time Solvability of a Cauchy problem for a Nonlinear Composite-Type Thermal-Electrical Model Equation2025
• Blow-up of Solutions of the Cauchy Problem for the Doubly Nonlinear Equation of a Thermoelectric Model2025
• On Blow-Up of Solutions to Cauchy Problems for Nonlinear Ferrite Equations in (N + 1)-Dimensional Case2025
• К вопросу о разрешимости задачи Коши одной тепло-электрической модели2025
• Instantaneous blow‐up versus local solvability of solutions to the Cauchy problem for the equation of a semiconductor in a magnetic field2018 · аннотациясвернуть

  In this paper, we consider the Cauchy problem for one nonclassical, third‐order, model partial differential equation with nonlinearity |u|q in . We show that for q ∈ (1,3], there are no local‐in‐time weak solutions of…

• Blow-up for one Sobolev problem: Theoretical approach and numerical analysis2016
• Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type2015 · аннотациясвернуть

  We consider Cauchy problems for a class of non-linear equations of Sobolev type. It is shown that for such problems there is a critical exponent (depending on the dimension of the space ) according to which a weak local…