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Project B7: Stochastic non-Newtonian fluids: Regularity and numerics


Principal Investigator(s)
Lars Diening
Martina Hofmanová
Visitor(s)
Currently no visitors.

Summary:

We are concerned with stochastic partial differential equations appearing in the modeling of non-Newtonian fluids. More precisely, we study models such as p-Navier-Stokes system where randomness is encoded in two ways: in the form of a random initial datum and in the form of stochastic external forces given by a general (nonlinear) multiplicative noise. Within the first part, we aim at developing a regularity theory. In particular, we are interested in the natural regularity which is essential for numerical approximations. The second part of our project is concerned with developing efficient numerical schemes and proving their rates of convergence.


Recent Preprints:

25018 Anna Balci, Linus Behn, Lars Diening, Johannes Storn PDF

Examples of p-harmonic maps

Project: A7, B7

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Examples of p-harmonic maps


Authors: Anna Balci, Linus Behn, Lars Diening, Johannes Storn Projects: A7, B7
Submission Date: 07.03.2025 Submitter: Martina Hofmanová
Download: PDF Link: 25018

25017 Lars Diening, Rob Stevenson, Johannes Storn PDF

A quasi-optimal space-time FEM with local mesh refinements for parabolic problems

Project: B7

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A quasi-optimal space-time FEM with local mesh refinements for parabolic problems


Authors: Lars Diening, Rob Stevenson, Johannes Storn Projects: B7
Submission Date: 07.03.2025 Submitter: Martina Hofmanová
Download: PDF Link: 25017

25011 Lars Diening, Adrian Hirn, Christian Kreuzer, Pietro Zanotti PDF

Pressure robust finite element discretizations of the nonlinear Stokes equations

Project: B7

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Pressure robust finite element discretizations of the nonlinear Stokes equations


Authors: Lars Diening, Adrian Hirn, Christian Kreuzer, Pietro Zanotti Projects: B7
Submission Date: 19.02.2025 Submitter: Martina Hofmanová
Download: PDF Link: 25011

25005 Emanuela Gussetti, Martina Hofmanová PDF

Statistical solutions to the Schrödinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation

Project: B7

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Statistical solutions to the Schrödinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation


Authors: Emanuela Gussetti, Martina Hofmanová Projects: B7
Submission Date: 29.01.2025 Submitter: Sebastian Herr
Download: PDF Link: 25005

25004 Irfan Glogic, Martina Hofmanová, Theresa Lange, Eliseo Luongo PDF

Non-uniqueness of mild solutions to supercritical heat equations

Project: B7

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Non-uniqueness of mild solutions to supercritical heat equations


Authors: Irfan Glogic, Martina Hofmanová, Theresa Lange, Eliseo Luongo Projects: B7
Submission Date: 29.01.2025 Submitter: Sebastian Herr
Download: PDF Link: 25004

24124 Lars Diening, Johannes Storn, Tabea Tscherpel PDF

Exact integration for singular Zienkiewicz and Guzman-Neilan finite elements with implementation

Project: B7

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Exact integration for singular Zienkiewicz and Guzman-Neilan finite elements with implementation


Authors: Lars Diening, Johannes Storn, Tabea Tscherpel Projects: B7
Submission Date: 04.01.2025 Submitter: Martina Hofmanová
Download: PDF Link: 24124

24065 Emanuela Gussetti, Antoine Hocquet PDF

A pathwise stochastic Landau-Lifshitz-Gilbert equation with application to large deviations

Project: B7

Published: Journal of Functional Analysis 285, no. 9 (2023)

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A pathwise stochastic Landau-Lifshitz-Gilbert equation with application to large deviations


Authors: Emanuela Gussetti, Antoine Hocquet Projects: B7
Submission Date: 11.09.2024 Submitter: Martina Hofmanová
Download: PDF Link: 24065
Published: Journal of Functional Analysis 285, no. 9 (2023)

24018 Jörn Wichmann PDF

Temporal Regularity of Symmetric Stochastic p-Stokes Systems

Project: B7

Published: Journal of Mathematical Fluid Mechanics 26, no. 2 (2024), Paper No. 20, 28

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Temporal Regularity of Symmetric Stochastic p-Stokes Systems


Authors: Jörn Wichmann Projects: B7
Submission Date: 22.02.2024 Submitter: Martina Hofmanová
Download: PDF Link: 24018
Published: Journal of Mathematical Fluid Mechanics 26, no. 2 (2024), Paper No. 20, 28

24017 Lars Diening, Martina Hofmanová, Jörn Wichmann PDF

An averaged space–time discretization of the stochastic p-Laplace system

Project: B7

Published: Numerische Mathematik 153 (2022), 557-609

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An averaged space–time discretization of the stochastic p-Laplace system


Authors: Lars Diening, Martina Hofmanová, Jörn Wichmann Projects: B7
Submission Date: 22.02.2024 Submitter: Martina Hofmanová
Download: PDF Link: 24017
Published: Numerische Mathematik 153 (2022), 557-609

23108 Emanuela Gussetti PDF

Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise

Project: B7

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Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise


Authors: Emanuela Gussetti Projects: B7
Submission Date: 11.09.2024 Submitter: Martina Hofmanová
Download: PDF Link: 23108


All Publications of this Project


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