4 citations · 4 across the 4 of their papers we have counts for
5 papers
Hunter-type Implosion Profiles for Energy-supercritical Polytropic Equations of State
Ely Sandine
We rigorously construct a family of smooth self-similar solutions to the isentropic gravitational Euler-Poisson system with a polytropic equation of state for polytropic indices ly…
Hunter self-similar implosion profiles for the gravitational Euler-Poisson system
Ely Sandine
Our result is a construction of infinitely many radial self-similar implosion profiles for the gravitational Euler-Poisson system. The problem can be expressed as solving a system…
Clifford Analysis with Indefinite Signature
Matvei Libine, Ely Sandine
We extend constructions of classical Clifford analysis to the case of indefinite non-degenerate quadratic forms. We define (p,q)-left- and right-monogenic functions by means of Dir…
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps
Shiping Cao, Malte S. Hassler, Hua Qiu +2
We study the balanced resistance forms on the Julia sets of Misiurewicz-Sierpinski maps, which are self-similar resistance forms with equal weights. In particular, we use a theorem…
Polynomials on the Sierpinski Gasket with Respect to Different Laplacians which are Symmetric and Self-Similar
Christian Loring, W. Jacob Ogden, Ely Sandine +1
We study the analogue of polynomials (solutions to for some ) on the Sierpinski gasket () with respect to a family of symmetric, self-similar Laplacians const…