Alexander Anatolyevich Panin

On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation

Alexander Anatolyevich Panin · Mathematical Notes · 2015 · 41 citations

Natural Sciences, Mathematics, Physics +12

Blow-up for one Sobolev problem: Theoretical approach and numerical analysis

D. V. Lukyanenko, Alexander Anatolyevich Panin, E. V. Yushkov · Journal of Mathematical Analysis and Applications · 2016 · 33 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +10

Instantaneous blow‐up versus local solvability of solutions to the Cauchy problem for the equation of a semiconductor in a magnetic field

А. V. Ovchinnikov, Alexander Anatolyevich Panin · Mathematical Methods in the Applied Sciences · 2018 · 30 citations

Natural Sciences, Mathematics, Physics +13

Blow‐up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis

D. V. Lukyanenko, Alexander Anatolyevich Panin, E. V. Yushkov · Mathematical Methods in the Applied Sciences · 2016 · 27 citations

Engineering, Electrical Engineering, Physics +11

The solution with internal transition layer of the reaction‐diffusion equation in case of discontinuous reactive and diffusive terms

O. A. Nikolaeva, Andrey O. Orlov, Alexander Anatolyevich Panin · Mathematical Methods in the Applied Sciences · 2018 · 24 citations

Natural Sciences, Mathematics, Differential Equations +14