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News: 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.

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 7, 2020
Andre Nachbin
André Nachbin: Capturing the flow structure beneath rotational waves
April 15, 2020
Nancy Rodriguez
Nancy Rodriguez: A story on relocation strategies, the Allee effect, and the Ideal Free Distribution
April 14, 2020
Eduard-Wilhelm Kirr
Eduard-Wilhelm Kirr: Nonlinear coherent structures at the Fredholm boundary
March 18, 2020
Alexei Rybkin
Alexei Rybkin: Hankel operators and the Cauchy problem for the Korteweg-de Vries equation
March 18, 2020
Jason Bramburger
Jason Bramburger: Snaking bifurcations in higher space dimensions
March 7, 2020
Benjamin Akers
Benjamin Akers: Dimension breaking and numerical continuation
February 10, 2020
John P. Albert
John P. Albert: Nondegeneracy of bound states
January 31, 2020
Alexander O. Korotkevich
Alexander O. Korotkevich: Inverse cascade of gravity waves in the presence of condensate: numerical simulation
January 22, 2020
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Doug Wright: Traveling wave solutions of the capillary-gravity Whitham equation
January 15, 2020
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Massimiliano Berti: Dynamics of water waves
September 25, 2019
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Monica Visan: Recent progress on well-posedness for integrable PDE
September 25, 2019
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Matt Colbrook: Spectral analysis and new resolvent based methods
April 29, 2019
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Barbara Prinari: Inverse scattering transform for the defocusing Ablowitz-Ladik equation with arbitrary nonzero background
April 22, 2019
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Jörg Frauendiener: Gravitational waves and black holes: a global computational approach
March 1, 2019
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Zhijun Qiao: Integrable systems with peakon and cuspon solutions
January 24, 2019
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Raphael Stuhlmeier: Instability and evolution of inhomogeneous, broad-banded seas
December 6, 2018
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Deniz Bilman: A robust inverse scattering transform and extreme superposition of rogue waves
November 8, 2018
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Elena Louca: A new transform approach to biharmonic boundary value problems in polygonal and circular domains
May 18, 2017
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Todd Kapitula: Consensus and clustering in opinion formation on small-world networks 
May 4, 2017
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Daniel Ratliff: Modulation of Multiperiodic Wavetrains leading to Nonlinear Wave Equations
February 16, 2017
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Jennifer Mueller: Direct reconstruction methods in EIT applied to functional pulmonary imaging: Methods and clinical results
December 1, 2016
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Tom Witelski: Multiscale dynamics of dewetting fluid films
November 17, 2016
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Zhiwu Lin: Nonlinear modulational instability of dispersive wave models
November 3, 2016
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Govind Menon: A Kinetic Theory For 2D Grain Boundary Coursening
October 13, 2016
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Malgorzata Peszynska: Methane hydrate evolution: framework for analysis and simulations
June 2, 2016
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Karen Zaya: On Regularity Properties for Fluid Equations
May 26, 2016
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Tai Ho: Bridge representation and small time approximation of transition density
May 19, 2016
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Yuri Latushkin: The Morse and Maslov indices for theta-periodic and generalized Robbin multidimensional boundary value problems
May 5, 2016
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Elaine Cozzi: Incompressible Euler equations and the effect of changes at a distance
April 21, 2016
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Zhenyu Cui: Probability Density, Implied Volatility and Timer Options in Stochastic Volatility Models
April 14, 2016
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Sergey Dyachenko: Instability of steep ocean waves and whitecapping
April 7, 2016
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Alex Himonas: Analysis of water wave models
March 3, 2016
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Roberto Camassa: Fluid structure interactions at (mostly) low Reynolds numbers: Sphere settlings, primary cilia, waves and vortex rings
February 25, 2016
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Walter Craig: Surface signatures of internal waves
January 27, 2016
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Rohini Kumar: Small-time asymptotics for multi-scale stochastic systems and its applications in financial mathematics
December 5, 2015

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