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.

Alexei Rybkin: Hankel operators and the Cauchy problem for the Korteweg-de Vries equation

(April 9, 2020)

Jason Bramburger: Snaking bifurcations in higher space dimensions

(March 12, 2020)

Benjamin Akers: Dimension breaking and numerical continuation

(February 13, 2020)

John P. Albert: Nondegeneracy of bound states

(February 6, 2020)

Alexander O. Korotkevich: Inverse cascade of gravity waves in the presence of condensate: numerical simulation

(January 23, 2020)

Doug Wright: Traveling wave solutions of the capillary-gravity Whitham equation

(January 16, 2020)

Massimiliano Berti: Dynamics of water waves

(October 3, 2019)

Monica Visan: Recent progress on well-posedness for integrable PDE

(September 26, 2019)

Matt Colbrook: Spectral analysis and new resolvent based methods

(May 2, 2019)

Barbara Prinari: Inverse scattering transform for the defocusing Ablowitz-Ladik equation with arbitrary nonzero background

(April 25, 2019)

Jörg Frauendiener: Gravitational waves and black holes: a global computational approach

(March 7, 2019)

Zhijun Qiao: Integrable systems with peakon and cuspon solutions

(January 24, 2019)

Raphael Stuhlmeier: Instability and evolution of inhomogeneous, broad-banded seas

(December 6, 2018)

Deniz Bilman: A robust inverse scattering transform and extreme superposition of rogue waves

(November 8, 2018)

Elena Louca: A new transform approach to biharmonic boundary value problems in polygonal and circular domains

(May 18, 2017)

Todd Kapitula: Consensus and clustering in opinion formation on small-world networks

(May 4, 2017)

Daniel Ratliff: Modulation of Multiperiodic Wavetrains leading to Nonlinear Wave Equations

(February 16, 2017)

Jennifer Mueller: Direct reconstruction methods in EIT applied to functional pulmonary imaging: Methods and clinical results

(December 1, 2016)

Tom Witelski: Multiscale dynamics of dewetting fluid films

(November 17, 2016)

Zhiwu Lin: Nonlinear modulational instability of dispersive wave models

(November 3, 2016)

Govind Menon: A Kinetic Theory For 2D Grain Boundary Coursening

(October 13, 2016)

Malgorzata Peszynska: Methane hydrate evolution: framework for analysis and simulations

(June 2, 2016)

Karen Zaya: On Regularity Properties for Fluid Equations

(May 26, 2016)

Tai Ho: Bridge representation and small time approximation of transition density

(May 19, 2016)

Yuri Latushkin: The Morse and Maslov indices for theta-periodic and generalized Robbin multidimensional boundary value problems

(May 5, 2016)

Elaine Cozzi: Incompressible Euler equations and the effect of changes at a distance

(April 21, 2016)

Zhenyu Cui: Probability Density, Implied Volatility and Timer Options in Stochastic Volatility Models

(April 14, 2016)

Sergey Dyachenko: Instability of steep ocean waves and whitecapping

(April 7, 2016)

Alex Himonas: Analysis of water wave models

(March 3, 2016)

Roberto Camassa: Fluid structure interactions at (mostly) low Reynolds numbers: Sphere settlings, primary cilia, waves and vortex rings

(February 25, 2016)

Walter Craig: Surface signatures of internal waves

(January 27, 2016)

Rohini Kumar: Small-time asymptotics for multi-scale stochastic systems and its applications in financial mathematics

(December 5, 2015)

Catherine Sulem: Normal forms transformations for water waves

(December 3, 2015)

Henrik Kalisch: Balance Laws for Dispersive Long Wave Equations

(November 12, 2015)

David Lannes: Water Waves with vorticity and asymptotic models

(October 29, 2015)

Mats Ehrnstrom: On Whitham’s conjecture of a highest cusped wave for a nonlocal shallow water wave equation

(October 15, 2015)