Applied PDE Seminar

This seminar focuses on the study of analytical and numerical solution methods for partial differential equations (PDEs), the analysis of their solutions and their applications, among other topics.

Photo of Olivia Cannon
Applied PDE Seminar: Olivia Cannon, Shifting Parties in Social Dynamics: a Nonlocal Approach
(April 22, 2024)
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Applied PDE Seminar: Christian Kharif, Weakly nonlinear capillary waves on a shear current: Stability  and bifurcation
(April 16, 2024)
Photo of Xinyu Zhao from McMaster University
Applied PDE Seminar: Xinyu Zhao, On instability of the Taylor-Green vortex in 2D Euler flows
(March 29, 2024)
AAbassi
Applied PDE Seminar: Ahmad Abassi, The semi-analytic theory and computation of finite-depth standing water waves
(March 21, 2024)
Photo of Jon Wilkening
Applied PDE Seminar: Jon Wilkening, Long-time nonlinear dynamics of perturbed traveling and standing water waves
(May 11, 2023)
Photo of Anastassiya Semenova
Applied PDE Seminar: Anastassiya Semenova, Almost extreme Stokes waves and their stability
(May 3, 2023)
Photo of Sergey Dyachenko
Applied PDE Seminar: Sergey A. Dyachenko, Almost extreme Stokes waves and their stability: numerics
(April 21, 2023)
Photo of Ryan Creedon
Applied PDE Seminar: Ryan Creedon, An Asymptotic Description of the Spectral Instabilities of Stokes Waves
(April 14, 2023)
Photo of Massimiliano Berti
Applied PDE Seminar: Massimiliano Berti, Full description of Benjamin-Feir instability of Stokes waves in finite depth: Part II
(April 7, 2023)
Photo of Alberto Maspero
Applied PDE Seminar: Alberto Maspero, Full description of Benjamin-Feir instability of Stokes waves in finite depth: Part I
(March 21, 2023)
Annalisa Calini
Annalisa Calini: Soliton equations and geometric flows
(May 26, 2022)
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Igor Rumanov: (2+1)-dimensional Whitham systems: 2dNLS, KP and others
(May 19, 2022)
Maria Ntekoume
Maria Ntekoume: Global well-posedness for the derivative nonlinear Schrödinger equation
(May 12, 2022)
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Beatrice Pelloni: Time-periodic boundary value problem for dispersive PDEs
(April 28, 2022)
Maxim Olshanii
Maxim Olshanii: Triangular Gross-Pitaevskii breathers and Damski-Chandrasekhar shock waves
(March 3, 2022)
Dionyssis Mantzavinos
Dionyssis Mantzavinos: Initial-boundary value problems for nonlinear dispersive PDEs in one and two dimensions
(February 17, 2022)
Tom Bridges
Tom Bridges: Reappraisal of Whitham's 1967 theory for wave-meanflow interaction in shallow water
(January 27, 2022)
Anastassiya Semenova
Anastassiya Semenova: Superharmonic instabilities of Stokes waves
(January 20, 2022)
Denis Silantyev
Denis Sylantyev: Generalized Constantin-Lax-Majda equation: collapse vs. blow-up and global existence
(January 13, 2022)
Gong Chen
Gong Chen: Nonlinear modulational instability of the Stokes waves in 2D full water waves
(December 2, 2021)
Rosa María Vargas-Magaña
Rosa María Vargas-Magaña: Undular bores governed by the full water wave equations and bi-directional Whitham-Boussinesq equations
(November 18, 2021)
Slim Ibrahim
Slim Ibrahim: Revisit singularity formation for the inviscid primitive equation
(November 4, 2021)
Susanna Haziot
Susanna Haziot: Large-amplitude steady solitary water waves with constant vorticity
(October 14, 2021)
Richard Kollar
Richard Kollár: Three lessons we have learned about the epidemiological models during SARS-CoV-2 pandemics
(October 7, 2021)
David Goluskin
David Goluskin: Variational analysis of fluid equations with help from computational optimization
(June 3, 2021)
Anna Geyer
Anna Geyer: Stability and persistence of periodic traveling waves
(May 20, 2021)
Stephanie Dodson
Stephanie Dodson: One-dimensional spiral waves and reflection-induced cardiac arrhythmia
(May 6, 2021)
Folkmar Bornemann
Folkmar Bornemann: Finite size effects: random matrices, quantum chaos, and Riemann zeros
(April 8, 2021)
Stefan Steinberger
Stefan Steinerberger: A PDE describing roots of polynomials under differentiation
(April 1, 2021)
Tamara Grava
Tamara Grava: Long-time asymptotic for the modified KdV equation with a soliton gas initial data
(March 11, 2021)
Mark Groves
Mark Groves: Fully localized three-dimensional gravity-capillary solitary waves on water of infinite depth
(March 4, 2021)
Bjorn Sandstede
Bjorn Sandstede: Stability of planar spiral waves
(February 18, 2021)
Jens Rademacher
Jens Rademacher: Pulse replication and accumulation of eigenvalues
(February 11, 2021)
Bobby Wilson
Bobby Wilson: Stability of the cubic nonlinear Schrodinger equation on the irrational torus
(February 4, 2021)
Lorena Bociu
Lorena Bociu: Optimal control in fluid-structure interactions
(January 28, 2021)
Dave Nicholls
Dave Nicholls: Launching graphene surface plasmon waves with vanishingly small periodic grating structures
(January 21, 2021)
Peter Miller
Peter Miller: Universal wave breaking in the semi-classical sine-Gordon equation
(January 14, 2021)
Jonathan Lottes
Jonathan Lottes: The focusing nonlinear Schrödinger equation with nontrivial boundary conditions: Inverse scattering and interactions between solitons and dispersive shocks
(December 3, 2020)
Mariana Haragus
Mariana Haragus: Subharmonic linear dynamics of frequency combs modeled by the Lugiato-Lefever equation
(November 19, 2020)
Walter Strauss
Walter Strauss: Modulational instability of Stokes waves
(November 12, 2020)
Alejandro Aceves
Alejandro Aceves: Twists and turns in the nonlinear Schrodinger equation
(November 5, 2020)
Vera Hur
Vera Hur: Unstable Stokes waves: a periodic Evans function approach
(October 22, 2020)
Margaret Beck
Margaret Beck: Spectral stability, the Maslov Index, and spatial dynamics
(October 1, 2020)
Alexey Shevyakov
Alexey Shevyakov: Conservation laws, similarity reductions, and exact solutions for helically symmetric incompressible fluid flows
(May 14, 2020)
Andre Nachbin
André Nachbin: Capturing the flow structure beneath rotational waves
(April 30, 2020)
Nancy Rodriguez
Nancy Rodriguez: A story on relocation strategies, the Allee effect, and the Ideal Free Distribution
(April 23, 2020)
Eduard-Wilhelm Kirr
Eduard-Wilhelm Kirr: Nonlinear coherent structures at the Fredholm boundary
(April 16, 2020)
Alexei Rybkin
Alexei Rybkin: Hankel operators and the Cauchy problem for the Korteweg-de Vries equation
(April 9, 2020)
Jason Bramburger
Jason Bramburger: Snaking bifurcations in higher space dimensions
(March 12, 2020)
Benjamin Akers
Benjamin Akers: Dimension breaking and numerical continuation
(February 13, 2020)