Alan Elcrat


Home address
2825 W. 17
Phone
316 - 943 9702
Office
351 Jabara
Wichita State University
316 - 978 3965
elcrat@math.wichita.edu
Research
Interests
vortex dynamics, computational complex analysis
Personal
Interests
Tae Kwon Do, home brewing

 

Family


TaeKwonDo


Kim's Academy




A rainbow on the Lolo Trail in Montana, July 1998,
following Lewis and Clark


Snowshoeing in Rocky Mountain National Park


Piazza di Popolo, Roma

Perugia 2002

 

Current Research:

"Schwarz-Christoffel Mapping of Multiply Connected Domains"

"On detecting emerging surface cracks from boundary measurements."

"Some steady axisymmetric vortex flows past a sphere."

Computation of a pendent drop hanging from the interface between two fluids computed by my student Ray Treinen. (click on the picture for a lot more.)

 

Recent Publications:

Recently Published Books:

"Mathematical Theory of Electromagnetism" with Piero Bassanini, Simai e-lecture Notes

"Theory and Applications of Partial Differential Equations" with Piero Bassanini, Plenum Press

Breakthrough in Conformal Mapping

Recent talks:

Traveling vortex pairs

Applications of multiply connected Schwarz-Christoffel transformations

Swirling vortices

Courses:

Mathematical Theory of Fluid Mechanics

In the spring semester of 2010 I will teach two courses: a second course in differential equations, M655, emphasizing geometrical features including periodic solutions, center manifolds, Hopf bifurcations, and chaos; and a course in Complex Analysis II, M845 the course will follow the of Ahlfors with additional topics in conformal mapping including the Schwarz-Christoffel transformation.