7 papers
Some Unexplored Topics in The Reconstruction of Scalar Parameters of Subdiffusion
Sergii V. Siryk, Lidiia Tereshchenko, Nataliya Vasylyeva
In the paper, we discuss the reconstruction of scalar parameters in a linear diffusion equation with fractional in time differential operators and with additional nonlocal (convolu…
Exact Screening-Ranged Expansions for Many-Body Electrostatics
Sergii V. Siryk, Walter Rocchia
We present an exact many-body framework for electrostatic interactions among arbitrarily charged spheres in an electrolyte, modeled by the linearized Poisson--Boltzmann equatio…
Many interacting particles in solution. III. Spectral analysis of the associated Neumann--Poincaré-type operators
Sergii V. Siryk, Walter Rocchia
The interaction of particles in an electrolytic medium can be calculated by solving the Poisson equation inside the solutes and the linearized Poisson--Boltzmann equation in the so…
Many interacting particles in solution. II. Screening-ranged expansion of electrostatic forces
Sergii V. Siryk, Walter Rocchia
We present a fully analytical integration of the Maxwell stress tensor and derive exact relations for interparticle forces in systems of multiple dielectric spheres immersed in a p…
Many interacting particles in solution. I. Screening-ranged expansions of electrostatic potential and energy
Sergii V. Siryk, Walter Rocchia
We present an analytical many-body formalism for systems of spherical particles carrying arbitrary free charge distributions and interacting in a polarizable electrolyte solution,…
Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation
Andrii Hulianytskyi, Sergei Pereverzyev, Sergii Siryk +1
In the paper, we propose an analytical and numerical approach to identify scalar parameters (coefficients, orders of fractional derivatives) in the multi-term fractional differenti…