3 papers
math.AP2024
Solving the Wave Equation on Discrete Time Scales
Davis Funk, Charis Tsikkou
This paper presents a solution to an initial value problem for the 1-dimensional wave equation on time scales through the application of a Fourier transform and its inverse via con…
math.AP2019
Multi-d Isothermal Euler Flow: Existence of unbounded radial similarity solutions
Helge Kristian Jenssen, Charis Tsikkou
We show that the multi-dimensional compressible Euler system for isothermal flow of an ideal, polytropic gas admits global-in-time, radially symmetric solutions with unbounded ampl…
math.AP2018
On similarity flows for the compressible Euler system
Helge Kristian Jenssen, Charis Tsikkou
Radial similarity flow offers a rare instance where concrete inviscid, multi-dimensional, compressible flows can be studied in detail. In particular, there are flows of this type t…