We prove the global existence of regular solutionsto the water waves problem in 3D.The proof is based on the combinaison of energy estimates and dispersiveestimates. This is a jointwork with Pierre Germain and Jalal Shatah.
Creator:
Masmoudi, Nader (New York University)
Created:
2009-07-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This menu was a part of invitation to Kenneth Dexter Miller and his wife, Ethel Prince Miller, extended by Tomas Garrigue Masaryk, President of Czechoslovakia.
Creator:
Masaryk, Alice
Created:
1922
Contributed By:
University of Minnesota Libraries, Immigration History Research Center Archives.
With Matthias Kurzke and Dan Spirn, we study the dynamics of vortices in an inhomogeneous Gross-Pitaevskii equation. For a unique scaling regime, it is shown that vortices can interact both with the background perturbation and with each other. Results for associated parabolic and elliptic problems will be discussed.
Creator:
Marzuola, Jeremy L (University of North Carolina, Chapel Hill)
Created:
2016-11-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
With Braxton Osting, we have considered spectral optimization of point set configurations for adjacency matrices and graphs on two dimensional surfaces. We study both tori and spheres. I will discuss our results, show several numerical simulations and review open problems and interesting directions to take this line of research.
Creator:
Marzuola, Jeremy L (University of North Carolina, Chapel Hill)
Created:
2016-12-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The interplay of experimental observations with mathematical models often requires conditioning models on data---for example, inferring the coefficients or boundary conditions of partial differential equations from noisy functionals of the solution field. The Bayesian approach to these problems in principle requires posterior sampling in high or...
Creator:
Marzouk, Youssef (Massachusetts Institute of Technology)
Created:
2013-01-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Bayesian inference provides a natural framework for quantifyinguncertainty in PDE-constrained inverse problems, for fusingheterogeneous sources of information, and for conditioning successivepredictions on data. In this setting, simulating from the posteriorvia Markov chain Monte Carlo (MCMC) constitutes a fundamentalcomputational bottleneck. We...
Creator:
Marzouk, Youssef (Massachusetts Institute of Technology)
Created:
2011-06-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Many inverse problems may involve a large number of observations. Yet these observations are seldom equally informative; moreover, practical constraints on storage, communication, and computational costs may limit the number of observations that one wishes to employ. We introduce strategies for selecting subsets of the data that yield accurate a...
Creator:
Marzouk, Youssef (Massachusetts Institute of Technology)
Created:
2017-09-06
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
