Spring 2026

• Applied Math Physics Seminar (joint talk with dept. colloquium)

  • Date: Friday, March 13 

  • Time: 3:30-4:30 PM 

  • Location:  Math/Physics Building Room 3314

  • Speaker: Dr. Yutong Wu (Yale University)

  • Title: Multi-solitons and blow-up of Hartree equations

  • Abstract: I will present a series of papers in which we constructed multi-soliton solutions to three-dimensional ($L^2$-subcritical) and four-dimensional ($L^2$-critical) Hartree equations. In these solutions, the soliton centers evolve according to an effective N-body system. Our work generalized and improved the 2009 result of Krieger–Martel–Raphaël, which constructed two-soliton solutions for the three-dimensional Hartree equation. In four dimensions, our results further yield the existence of multi-point pseudo-conformal blow-up via the pseudo-conformal symmetry.  

  • Zoom link: https://georgiasouthern.zoom.us/j/82161915694?pwd=J7uyr5DKJass2rmAlPZWfkduenEbUa.1

• Applied Math Physics Seminar

  • Date: Friday, March 27

Talk 1 

• • Time: 11:30AM-12:30PM

  • Location:  Math/Physics Building Room 3314 (and Zoom)

  • Speaker: Dr. Gonzalo Cao-Labora (EPFL, Switzerland).  

  • Title: Stability and instability of the 2D Taylor-Green vortex

  • Abstract: We will present a new criterion for stability of instability of Hamiltonian linear operators.  Our criterion is based on an Evans function that satisfies certain monotonicity properties. As an application, we prove both stability (for odd functions) and instability (in general) of the 2D Taylor-Green vortex (or cellular flow). The criterion can be applied analytically to study real eigenvalues and can be also used to study complex eigenvalues when combined with computer-assistance. Moreover, the criterion applies to a general class of Hamiltonian systems outside the Taylor-Green vortex.

  • Zoom link: https://georgiasouthern.zoom.us/j/88121142848?pwd=jaxDwhBadNfNadoZ0uT52IvS1F0MdD.1

  • Short Bio: Dr. Gonzalo Cao-Labora is a researcher in fluid dynamical systems and partial differential equations, with a special interest in the use of computer-assisted techniques. Some of his interests include the application of computer-assisted techniques to Analysis of Fluids, Dispersive Equations and Overdetermined Elliptic Problems. He did his PhD at MIT, under the supervision of Gigliola Staffilani, and later moved to NYU as a postdoctoral researcher at the Courant Institute. Since September 2025, he has held a position at EPFL in Lausanne, Switzerland. He has been recently awarded the 2025 R. E. Moore prize (together with T. Buckmaster and J. Gomez-Serrano) for their application of computer-assisted techniques to the study of the compressible Euler equations. 

Talk 2

• • Time: 1:00-2:00 PM

  • Location:  Math/Physics Building Room 3314

  • Speaker: Dr. Chuntian Wang (University of Alabama)

  • Title: Interacting particle models on the impact of spatially heterogeneous human behavioral factors on dynamics of infectious diseases

  • Abstract: Human behaviors have non-negligible impacts on spread of contagious disease. For instance, large-scale gathering and high mobility of population could lead to accelerated disease transmission, while public behavioral changes in response to pandemics may effectively reduce contacts and suppress the peak of the outbreak. In order to understand how spatial characteristics like population mobility and clustering interplay with epidemic outbreaks, we formulate a stochastic-statistical environment-epidemic dynamic system (SEEDS) via an agent-based biased random walk model on a two-dimensional lattice. The “popularity” and “awareness” variables are taken into consideration to capture human natural and preventive behavioral factors, which are assumed to guide and bias agent movement in a combined way. It is found that the presence of the spatial heterogeneity, like social influence locality and spatial clustering induced by self-aggregation, potentially suppresses the contacts between agents and consequently flats the epidemic curve. Surprisedly, disease responses might not necessarily reduce the susceptibility of informed individuals and even aggravate disease outbreak if each individual responds independently upon their awareness. The disease control is achieved effectively only if there are coordinated public-health interventions and public compliance to these measures. Therefore, our model may be useful for quantitative evaluations of a variety of public-health policies. 

• Applied Math Physics Seminar

  • Date: Friday, April 10

  • Time: 3:30-4:30 PM 

  • Location:  Zoom

  • Speaker: Dr. Gavin Stewart (Arizona State U).  

  • Title: TBA

  • Abstract: TBA

  • Short Bio: Dr. Gavin Stewart is a Postdoctoral Research Scholar at Arizona State University.  He obtained his Ph.D. degree from New York University in 2022, and was a Hill Assistant Professor at Rutgers before coming to ASU.  His research interests include nonlinear dispersive PDEs and mathematical physics.

• Applied Math Physics Seminar

  • Date: Thursday, April 23

  • Time: TBA

  • Location:  Zoom

  • Speaker: Dr. Yongming Li (Texas A&M University)

  • Title: Soliton dynamics for nonlinear dispersive equations in 1D

  • Abstract: Solitons are a type of special solutions to nonlinear dispersive equations; they arise as well-localized stable solutions that travel a fixed speed without changing their shape, representing an intricate balance between dispersion and non-linear effects in physical systems. We review some classical results for the orbital stability of solitons and recent results for the asymptotic stability of solitons for nonlinear Klein-Gordon equations and for the nonlinear Schrodinger equations in one spatial dimension. This talk is based on joint work with Jonas Luhrmann (University of Cologne).