PDE/Analysis/MathematicalPhysics Group
(Laboratory for Nonlinear Studies)*

  *Important Note: This page is under construction.

School of Mathematical and Statistical Sciences & Mathematical, Computational and Modeling Sciences Center
Arizona State University
Tempe, AZ 85287-1804


(This logo is created by Raquel M. Lopez.)

| Our Goals | Research Strengths | People | News | For Students |

Our Goals:

To apply methods of pure and applied mathematics to variety of complex problems in natural, biological and social sciences. Work in close cooperation with other units of Arizona State University and with researchers over the world.

Research Strengths:

Mathematical and theoretical physics, mathematical biology, nonlinear PDEs, harmonic, numerical and classical analysis, and their applications.


Carlos Caslillo-Chavez, director, Mathematical, Computational and Modeling Sciences Center
Alex Mahalov, professor
Mohamed Moustaoui, associate professor
Rodrigo Platte, assistant professor
Sergei Suslov, professor
Mark Fayfman, adjunct professor, Mathematical, Computational and Modeling Sciences Center & MUCATEX (Center on the Problem of Muon Catalyzed Fusion and Energetic Quantum Systems)
Cristi Guevara, Ph D
Erwin Suazo, assistant professor, University of Puerto Rico, Mayaguez; http://math.uprm.edu/~erwin_sm/
Svetlana Roudenko, adjunct professor, Mathematical, Computational and Modeling Sciences Center & George Washington University
Marco Herrera-Valdez, visiting professor
Nathan Lanfear, graduate student
Raquel M. Lopez, graduate student
Ben Morin, graduate student
Ricardo Cordero-Soto, assistant professor in mathematics at California Baptist University
Ilyssa Summer, graduate student
Jose Vega-Guzman, graduate student


Fall 2011

The article entitled "Exact Wave Functions for Generalized Harmonic Oscillators" by Nathan Lanfear, Raquel M. Lopez and Sergei K. Suslov has been published in Journal of Russian Laser Research, Volume 32, Issue 4 (2011), Pages 352-361:

From Eric Kostelich <kostelich@asu.edu>
Subject: Seminar on Nonlinear Dynamics, Environmental Science, and Sustainability (MAT 591)

We host this weekly seminar on Wednesdays from 3:05 to 4:25 in PSA 306.  The seminar features talks by SoMSS faculty, postdocs, and graduate students on applications of nonlinear dynamics to weather, climate, environmental fluids, and related sustainability issues.  It is open to all interested graduate students, postdocs, and faculty in these and related areas.  The line number is 88725.
For more information, please contact one of the organizers: Eric Kostelich (kostelich@asu.edu), Alex Mahalov (mahalov@asu.edu), Wenbo Tang (wenbo.tang@asu.edu) or Mohamed Moustaoui (mohamed.moustaoui@asu.edu).


Muon-Catalyzed Fusion of Hydrogen-Isotope Nuclei
Dr. Mark Fayfman
Research Coordinative Center on the Problem of muCF
Energetic Quantum Systems (MUCATEX), Moscow, Russia
Mathematical, Computational and Modeling Sciences Center, ASU
Monday, August 15, 2011 - 11:30am - 12:30pm
Physical Science Center A-wing, room 118


The basic concept of muon-catalyzed fusion (muCF) refers to the fusion reaction between hydrogen nuclei, which takes place with an essential probability in muon presence. Contrary to the fusion, in the case of muon catalyzed fusion there is no need for heating the nuclei to produce the fusion reactions, and that is why the muCF phenomenon can really be called cold fusion.
Now muon-catalyzed fusion (muCF) is an independent trend in modern physics research. The muCF contains study of mu-atomic and mu-molecular processes, as well as nuclear reactions in the bound states of muonic molecules. The state of the art of the muCF research is presented in this talk, and the main applications of muon catalyzed fusion in nuclear and atomic physics are discussed.


Beamer presentation:  MF_mCF_ASU.pdf

Spring and Summer 2011

Read an interview with Carlos Castillo-Chavez in the July issue of Phoenix Magazine:


Raquel Lopez has defended her Ph D prospectus on June 9, 2011. Congrads!

Svetlana Roudenko has submitted a manuscript on medical imaging to a publisher.

Ben Morin gave a public presentation in front of >850 people on the beauty of applied math:


Ricardo Cordero has accepted position of Assistant Professor in Mathematics at California Baptist University starting in the fall 2011.

Sergei Suslov has presented an invited talk on 12th International Conference on Squeezed States and Uncertainty Relations (ICSSUR) and 5th Feynman Festival, 02-06 May 2011, Foz do Iguacu, Brazil (suslov_talk.pdf); and
Raquel Lopez, Ilyssa Summers and Jose Vega-Guzman have presented posters (poster1, poster2) on 12th International Conference on Squeezed States and Uncertainty Relations (ICSSUR) and 5th Feynman Festival, 02-06 May 2011, Foz do Iguacu, Brazil:


Cristi Guevara has defended her Ph D on April 22, 2011 (Svetlana Roudenko is her Ph D advisor) Congrads!!!

Sergei Suslov is among top 5 winners from pty2011:


SoMSS Events, April 11 and April 13:
Seminar: The interactions of horizontal turbulent shear layers with adjacent stably stratified regions in the atmosphere and oceans
Lord Julian Hunt
University College London
Monday, April 11, 2011, 3:30pm-4:30pm
Physical Science Center A-wing, Room 206

Seminar: Conditional statistics near strong thin shear layers in DNS of isotropic turbulence at high Reynolds number
Prof. Takashi Ishihara (Japan)
Earth Simulator HPC Center and Nagoya University
Wednesday, April 13, 2011, 4:00pm-5:00pm
Physical Science Center A-wing, Room 206

Ben Morin and Sergei Suslov have presented talks on Arizona Days, April 1-2, 2011, UofA, Tuscon, Arizona

Erwin Suazo has presented a talk at Waves 2011:


The Society for Industrial and Applied Mathematics, SIAM@ASU, presents Dr. Nick Trefethen, Professor of Numerical Analysis, Oxford University and SIAM  President. SIAM ASU chapter have had an informal talk with The SIAM President on Thursday, March, 3rd, 2011 @ 11:30 am - 1:00 pm, Memorial Union, MU 229 Santa Cruz:


Ricardo Cordero-Soto has defended his Ph D on February 18th, 2011. Congrads!!! FlyerPhD.pdf

Alex Mahalov is invited as a Main speaker to a conference in Luminy (Marseille ) in May 2011.

Sergei Suslov is giving a talk at a q-series conference:


Marco Herrera-Valdez has been featured as a keynote speaker among two other leaders in the field:


Current Publications: (see individual websites)

Our Distinguished Co-Workers:

Peter Paule, director, RISC - Research Institute for Symbolic Computation, Johannes Kepler University Linz, Austria

(see aslo individual websites)


Distinguished Scholar Lecture by Vladimir E. Zakharov and Workshop on Nonlinear Sciences



(see individual websites for earlier events)

For Students:

PDE Primer (diffusion-type equations)

This page is created by Sergei K. Suslov
Email: sks@asu.edu

Last updated on August 18, 2011