• P.O. Box 513

    5600 MB Eindhoven

    Netherlands

  • Groene Loper 5, Metaforum

    5612 AP Eindhoven

    Netherlands

Organization profile

Introduction / mission

The field of Applied analysis brings together many mathematical topics, such differential equations, dynamical systems, variational calculus, functional analysis, geometry, and approximation theory. The Applied Analysis Group focuses on these mathematical disciplines and their application to the real world around us.

The Applied Analysis Group is part of CASA, the Center for Analysis, Scientific Computing, and Applications.

Highlighted phrase

“Exploring the zoo of nonlinear partial differential equations”

Organisational profile

Partial differential equations, especially the nonlinear ones, are as different as animals in the zoo. We study them: do they have solutions, are these solutions unique? How do the solutions behave? How do they depend on parameters? How should we calculate solutions numerically? How do all these properties relate to the real-world situations that generated the equations in the first place? Tools such as functional analysis and variational calculus allow us to create order in the zoo. 

Connecting PDEs with stochastics

Since the invention of Wasserstein gradient flows exciting new connections have arisen between optimal transport, (generalized) gradient flows and large deviations. Optimal transport provides tools for analyzing PDEs, large deviations give us the gradient-flow structure underlying many PDEs, and the connection between PDEs and stochastic processes ties all these concepts together.

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 1992 2019

Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces

Carrillo, J. A., Choi, Y. P. & Tse, O., 1 Jan 2019, In : Communications in Mathematical Physics. 365, 1, p. 329-361

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Wasserstein Distance
Convergence to Equilibrium
Euler Equations
Damped
Euler System

Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

Kraaij, R. C., Lazarescu, A., Maes, C. & Peletier, M., 1 Jan 2019, (Accepted/In press) In : Stochastic Processes and their Applications.

Research output: Contribution to journalArticleAcademicpeer-review

Hamiltonians
Large Deviations
Dissipation
Fluctuations
Symmetry

Topological shooting, invariant manifold theory and rigorous numerics applied to an ODE for hypha tip growth

de Jong, T. G., 15 Jan 2019, Eindhoven: Technische Universiteit Eindhoven. 167 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Open Access
File
Shooting
Invariant Manifolds
Numerics
Model

Prizes

NWO Vidi Award : Evolutionary structures under one umbrella

Oliver Tse (Recipient), 2017

Recognition: NWOVidiScientific

Costs

NWO Vidi Award : Evolutionary structures under one umbrella

Oliver Tse (Recipient), 2018

Recognition: NWOVidiScientific

Costs

Activities 2014 2017

  • 5 Editorial activity
  • 1 Conference

Mathematics of Operations Research (Journal)

P. Nyquist (Referee)
2017 → …

Activity: Publication peer-review and editorial work typesEditorial activityScientific

RESIM 2018

P. Nyquist (Organiser)
20172018

Activity: Participating in or organising an event typesConferenceScientific

Nature Communications (Journal)

P. Nyquist (Referee)
2017 → …

Activity: Publication peer-review and editorial work typesEditorial activityScientific

Student theses

A comparison of the Krasnoselskii spectrum and the homotopy significant spectrum

Author: Fokma, S. (., 6 Jul 2018

Supervisor: Portegies, J. (Supervisor 1)

Student thesis: Bachelor

File

Active learning in VAE latent space

Author: Tonnaer, L., 25 Sep 2017

Supervisor: Menkovski, V. (Supervisor 1), Portegies, J. W. (Supervisor 2) & Holenderski, M. (Supervisor 2)

Student thesis: Master

File

An FIR inequality for Markov jump processes on discrete state spaces

Author: Hilder, B., 31 Aug 2017

Supervisor: Peletier, M. (Supervisor 1), Schlottke, M. (Supervisor 2), Schneider, G. (External person) (External coach) & Sharma, U. (External coach)

Student thesis: Master

File