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.

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Applied PDE Seminar: Paolo Ventura, Instability Isolas of Stokes Waves
April 2, 2025
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Applied PDE Seminar: Ryan Creedon, Transverse Instability of Stokes Waves in Finite Depth
May 27, 2024
Photo of Huy Nguyen from University of Maryland, College Park
Applied PDE Seminar: Huy Nguyen, Proof of the transverse instability of Stokes waves 
May 20, 2024
Dmitry Pelinovsky from McMaster University
Applied PDE Seminar: Dmitry Pelinovsky, On smooth and peaked traveling waves in a local model for shallow water waves
May 13, 2024
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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