University of Arizona
Department of Mathematics
E-mail: sorizaga(at)math(dot)arizona(dot)edu
I am an applied and computational mathematician with research interests in phase field
modeling, numerical solutions of PDEs, free boundary problems, electrically driven flows
and in general I am interested in problems with practical applications.
Numerial solutions to phase field models are given in the six figures. You can find on
the top row 2D solutions for the BCP model. First figure models a polymer volume fraction
that is known to produce spheres. Second figure models the fracture/crack propagation on
a ductile material. Third figure represents the lamellar phase undergoing instabilities.
Bottom row are full 3D simulations for the BCP model. First and second picture model the
BCP for distinct polymer volume fractions and the last picture is the stretching/aligning
effect induced by an electric field.
Short Bio :
Saulo Orizaga is an NSF-Alliance Postdoctoral Associate working under the guidance of
Dr. Karl B. Glasner. Saulo recently moved to Arizona from Ames, Iowa, where he earned
a PhD in applied mathematics from Iowa State University (ISU). Before arriving to Iowa,
Saulo earned a bachelor and masters degrees at the University of Texas, Pan-American.
Saulo’s work at ISU focused on understanding the nonlinear instability regime of viscous
fluid flows induced by electric fields. More generally, Saulo enjoys leveraging modeling
techniques and computational mathematics to better understand problems of interest to
the scientific community. While at Arizona, Saulo has been working on the extension of
his previous research ideas to contribute to new applied research problems.
Saulo’s recent work at the University of Arizona has been in the area of phase field modeling.
An interesting problem related to this research area is the study of nano and micro-structure
evolution of materials. Partial differential equations (PDEs) of interest are those derived
from Ginzburg-Landau models for phase transitions. These problems have a vast number of
applications that range from industrial material processing to biomedical applications. In
particular, Saulo works in the applied analysis of micro-structure evolution of diblock copolymers
(BCP) and their efficient numerical implementation.
Please feel free to contact me and ask me any question you may have.
I am always open
for Mathematical discussion, collaboration and investigation.
