Forskning vid Uppsala universitet

Forskningsprojekt från 2018-01-01 till 2021-12-31

Parabolic equations and systems are indispensable models in mathematics, physics, chemistry, biology, finance and in most engineering disciplines. These models appear in contexts involving time dependent ...

Forskningsprojekt från 2018-01-01 till 2021-12-31

The present project focuses on high-fidelity mathematical and numerical models, in collaboration with Stanford University, to simulate infrasound from a wide range of volcanic activity. The first task ...

Forskningsprojekt från 2019-01-01 till 2022-12-31

The aim of this project is to significantly improve our knowledge about the solution to Hilbert´s 16th problem and its infinitesimal version, both of which ask for the maximal number of isolated periodic ...

Forskningsprojekt från 2014-01-01 till 2014-12-31

Ansökan från Amy Goldberg inom programmet Graduate Research Opportunity Worldwide ...

Forskningsprojekt från 2012-01-01 till 2015-12-31

The proposed research is a multifaceted investigation centering on problems in homogeneous dynamics and fundamental questions about lattices. We will focus in particular on problems which hold the promise ...

Forskningsprojekt från 2015-01-01 till 2017-12-31

In this project we are concerned with solutions to the so-called degenerate parabolic p-Laplace equation, a parabolic version of the classical p-Laplace equation.This project has two directions. The first ...

Forskningsprojekt från 2019-01-01 till 2021-12-31

1) Utveckla en tillförlitlig 3D vågutbrednings modell i realistiska atmosfärer. Motivet är att modellera ljudutbredning från en mängd olika ljudkällor, såsom vindkraftverk, byggarbeten, vägtrafik, flygplan ...

Forskningsprojekt från 2014-01-01 till 2017-12-31

The goal of this research proposal is the study of the pathwise composition of various classes of stochastic processes, in particular, their asymptotics as the number of processes goes to infinity, their ...

Forskningsprojekt från 2020-01-01 till 2023-12-31

In this project we are concerned with degenerate parabolic equations and their applications to AI.This project has two directions. The first direction concerns boundary comparison principles, specifically ...

Forskningsprojekt från 2016-01-01 till 2019-12-31

The research proposed here is a multifaceted investigation centeringon problems in dynamics on homogeneous spaces andfundamental questions about lattices. I will focus in particular onproblems which hold ...

Forskningsprojekt från 2014-01-01 till 2017-12-31

Degenerate parabolic equations of Kolmogorov type occur in many areas of analysis, physics and applied mathematics. In their simplest form these equations were introduced and studied by Kolmogorov in ...

Forskningsprojekt från 2013-01-01 till 2016-12-31

This project studies the mathematical models arising from a variety of imaging techniques. These problems are formulated mathematically as "inverse problems" where one deduces information about the differential ...

Forskningsprojekt från 2017-01-01 till 2020-12-31

Conserved quantities are important in various areas of physics, as in many cases they provide an essential characterization of a physical system. However, to define the mass, center of mass, angular and ...

Forskningsprojekt från 2017-01-01 till 2019-12-31

The first part of the project (with J. Graczyk, Orsay) concerns the abundance of maps satisfying an expontential growthcondition at the critical value.(Collet-Eckmann-condition) for parameters of the complex ...

Forskningsprojekt från 2018-01-01 till 2021-12-31

One part of this project concerns nonlinear eigenvalue problems. These problems have a long history and arise in a variety of applications. We intend to develop methods based on inverse iteration and the ...

Forskningsprojekt från 2014-01-01 till 2017-12-31

Ett klassiskt problem från celest mekanik är att beskriva hur N stycken kroppar (planeter, stjärnor eller satelliter) samverkar och rör sig under gravitationens påverkan. Tidigare försök (av Poincare och ...

Forskningsprojekt från 2020-01-01 till 2023-12-31

The main purpose of this project is to prove existence of quasi-periodic motion in the 3-body problem with realistic parameters of Sun, Jupiter and Saturn. The aim is to prove that KAM theory can be applied ...