Publications related to Global Ill-Posedness of the Isentropic System of Gas Dynamics

Vapor compression and energy dissipation in a collapsing laser-induced bubble

Mohamed Farhat, Danail Obreschkow, Davide Bernardo Preso, Armand Baptiste Sieber

The composition of the gaseous phase of cavitation bubbles and its role on the collapse remains to date poorly understood. In this work, experiments of single cavitation bubbles in aqueous ammonia serve as a novel approach to investigate the effect of the ...

Melville2024

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Vlad Serban, Nihar Prakash Gargava

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

The influence of the gas on the dynamics of cavitation bubbles

Davide Bernardo Preso

Cavitation bubbles, extensively investigated in fluid mechanics, present enduring challenges in hydraulic machinery, while holding considerable potential for practical applications in biomedicine and sonochemistry. Despite more than a century of research, ...

EPFL2023

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Yang Liu

This thesis is a study of the global well-posedness of the Cauchy problems for half-wave maps from the Minkowski space of dimension n+1 to the 2-dimensional sphere and the hyperbolic plane. The work is mainly based on the results from Krieger-Sire 17' in ...

EPFL2023

Measurement and modelling of dynamic fluid saturation in carbon reinforcements

Véronique Michaud, Baris Çaglar, Helena Luisa Teixido Pedarros, Guillaume Clément Broggi

We propose a methodology to monitor the progressive saturation of a non-translucent unidirectional carbon fabric stack through its thickness by means of X-ray radiography and extract the dynamic saturation curves using image analysis. Four constant flow ra ...

2023

Validation of GBS plasma turbulence simulation of the TJ-K stellarator

Paolo Ricci, Joaquim Loizu Cisquella

We present a validation of a three-dimensional, two-fluid simulation of plasma turbulence in the TJ-K stellarator, a low temperature plasma experiment ideally suited for turbulence measurements. The simulation is carried out by the GBS code, recently adapt ...

IOP Publishing Ltd2023

Unlikely intersections on the p-adic formal ball

Vlad Serban

We investigate generalizations along the lines of the Mordell-Lang conjecture of the author's p-adic formal Manin-Mumford results for n-dimensional p-divisible formal groups F. In particular, given a finitely generated subgroup (sic) of F(Q(p)) and a close ...

SPRINGER INT PUBL AG2023

Modeling of rough contact interfaces with trapped compressive liquid pockets

Jean-François Molinari, Guillaume Anciaux, Parissasadat Alavi, Julie Richard, Loris Rocchi

Boundary and mixed lubrication are usually used to reduce friction in sheet metal form- ing. In the boundary lubrication regime load is mainly carried by contacting asperities. Therefore, the tribological problem can be solved in the dry case using a geome ...

2023

A method and system for enforcing smoothness constraints on surface meshes from a graph convolutional neural network

Pascal Fua, Pamuditha Udaranga Wickramasinghe

A method for enforcing smoothness constraints on surface meshes produced by a Graph Convolutional Neural Network (GCNN) including the steps of reading image data from a memory, the image data including two-dimensional image data representing a three-dimens ...

2023

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Global Ill-Posedness of the Isentropic System of Gas Dynamics

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Vapor compression and energy dissipation in a collapsing laser-induced bubble

Moments of the number of points in a bounded set for number field lattices

The influence of the gas on the dynamics of cavitation bubbles

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Measurement and modelling of dynamic fluid saturation in carbon reinforcements

Validation of GBS plasma turbulence simulation of the TJ-K stellarator

Unlikely intersections on the p-adic formal ball

Modeling of rough contact interfaces with trapped compressive liquid pockets

A method and system for enforcing smoothness constraints on surface meshes from a graph convolutional neural network

Localization errors of the stochastic heat equation

Vapor compression and energy dissipation in a collapsing laser-induced bubble

The influence of the gas on the dynamics of cavitation bubbles

Measurement and modelling of dynamic fluid saturation in carbon reinforcements

Moments of the number of points in a bounded set for number field lattices

Unlikely intersections on the p-adic formal ball

Modeling of rough contact interfaces with trapped compressive liquid pockets

A method and system for enforcing smoothness constraints on surface meshes from a graph convolutional neural network

Localization errors of the stochastic heat equation

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Validation of GBS plasma turbulence simulation of the TJ-K stellarator