46 citations · 131 across the 15 of their papers we have counts for
17 papers
Validation of Symmetry Induced Bifurcation Points in Nonlinear Diffusion Problems
Maxime Breden, Evelyn Sander, Thomas Wanner
Nonlinear parabolic partial differential equations frequently occur in the modeling of applied phenomena. They often exhibit complicated dynamics which is organized by their associ…
Cyclic symmetry induced pitchfork bifurcations in the diblock copolymer model
Peter Rizzi, Evelyn Sander, Thomas Wanner
The Ohta-Kawasaki model for diblock copolymers exhibits a rich equilibrium bifurcation structure. Even on one-dimensional base domains the bifurcation set is characterized by high…
Reliability and robustness of oscillations in some slow-fast chaotic systems
Jonathan Jaquette, Sonal Kedia, Evelyn Sander +1
A variety of nonlinear models of biological systems generate complex chaotic behaviors that contrast with biological homeostasis, the observation that many biological systems prove…
Mathematics of Floating 3D Printed Objects
Daniel M. Anderson, Brandon G. Barreto-Rosa, Joshua D. Calvano +2
We explore the stability of floating objects through mathematical modeling and experimentation. Our models are based on standard ideas of center of gravity, center of buoyancy, and…
Equilibrium Validation for Triblock Copolymers via Inverse Norm Bounds for Fourth-Order Elliptic Operators
Peter Rizzi, Evelyn Sander, Thomas Wanner
Block copolymers play an important role in materials sciences and have found widespread use in many applications. From a mathematical perspective, they are governed by a nonlinear…
Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps
J. D. Meiss, E. Sander
In this paper, we develop numerical methods based on the weighted Birkhoff average for studying two-dimensional invariant tori for volume-preserving maps. The methods do not rely o…