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 Ryan Creedon

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)

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)