3 papers
math.AP2025
Magnetically Insulated Diode: Existence of Solutions and Complex Bifurcation. I
Denis Sidorov, Alexander Sinitsyn, Omar Toledo Leguizamón +1
In order to avoid the electron oscillation of the cathode and enhance the work efficiency of a vacuum diode, an approach for analyzing the solutions and complex bifurcation has bee…
math.AP2025
Boundary value problem of magnetically insulated diode: existence of solutions and complex bifurcation
Denis Sidorov, Alexander Sinitsyn, David Leguizamon +1
The paper focuses on the stationary self-consistent problem of magnetic insulation for a vacuum diode with space-charge limitation, described by a singularly perturbed Vlasov-Maxwe…
cs.LG2024
Solving Nonlinear Energy Supply and Demand System Using Physics-Informed Neural Networks
Van Truong Vo, Samad Noeiaghdam, Denis Sidorov +2
Nonlinear differential equations and systems play a crucial role in modeling systems where time-dependent factors exhibit nonlinear characteristics. Due to their nonlinear nature,…