37 citations · 57 across the 20 of their papers we have counts for
22 papers
Invariant Reduction for Partial Differential Equations. IV: Symmetries that Rescale Geometric Structures
Kostya Druzhkov, Alexei Cheviakov
For a system of partial differential equations admitting point, contact, or higher symmetries, the framework of invariant reduction systematically computes how invariant geometric…
On the Hill's Spherical Vortex in Fluid and Plasma, its Generalization, and Stability
Jason M. Keller, Alexei F. Cheviakov
In 1894 M.J.M. Hill published an article describing a spherical vortex moving through a stationary fluid. Using cylindrical coordinates and assuming the azimuthal velocity componen…
New Exact Plasma Equilibria with Axial and Helical Symmetry
Jason M. Keller, Alexei F. Cheviakov
Exact solutions to the static equilibrium magnetohydrodynamic equations are presented and discussed for both axially and helically reduced systems. For both symmetries, physical re…
A Method for Random Packing of Spheres with Application to Bonding Modeling in Powder Bed 3D Printing Process
Travis J. Black, Alexei F. Cheviakov
A Matlab-based computational procedure is proposed to fill a given volume with spheres whose radii are randomly picked from any specified probability distribution supported by \ver…
Narrow Escape Brownian Dynamics Modeling in the Three-Dimensional Unit Sphere
Vaibhava Srivastava, Alexei Cheviakov
The narrow escape problem is a first-passage problem concerned with randomly moving particles in a physical domain, being trapped by absorbing surface traps (windows), such that th…
On Exact and Approximate Symmetries of Algebraic and Ordinary Differential Equations with a Small Parameter
Mahmood R. Tarayrah, Alexei F. Cheviakov
The framework of Baikov-Gazizov-Ibragimov approximate symmetries has proven useful for many examples where a small perturbation of an ordinary differential equation (ODE) destroys…