Publications related to Decay for the nonlinear KdV equations at critical lengths

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Le Chen, Cheuk Yin Lee, David Jean-Michel Candil

We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann boundary condition. We establish existence, uniqueness and moment bounds of the r ...

New York2023

The first Grushin eigenvalue on cartesian product domains

Joachim Stubbe, Luigi Provenzano, Paolo Luzzini

In this paper, we consider the first eigenvalue.1(O) of the Grushin operator.G :=.x1 + |x1|2s.x2 with Dirichlet boundary conditions on a bounded domain O of Rd = R d1+ d2. We prove that.1(O) admits a unique minimizer in the class of domains with prescribed ...

WALTER DE GRUYTER GMBH2023

A Ribbon Model for Nematic Polymer Networks

Harmeet Singh

We present a theory of deformation of ribbons made of nematic polymer networks (NPNs). These materials exhibit properties of rubber and nematic liquid crystals, and can be activated by external stimuli of heat and light. A two-dimensional energy for a shee ...

SPRINGER2022

Assessment of the Thermal-Hydraulic Performance of the European DEMO NbTi Bus Bars

Kamil Sedlák, Rainer Wesche, Roberto Guarino

We present a numerical assessment of the thermal-hydraulic performance of the NbTi bus bars designed for the European DEMO. We consider the CS, TF and PF bus bars, as well as two alternative TF options for high-current operations. The main sources of stati ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

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

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

EPFL2022

Mechanical performance and upscaling of bio-improved soils

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Ecological awareness, pressing climate considerations and rising need for soil stabilization push forward the quest for alternative solutions in geotechnical engineering such as Microbially Induced Carbonate Precipitation (MICP). Precipitated crystals serv ...

EPFL2022

Towards coupling conventional with high-fidelity fuel behavior analysis tools

Andreas Pautz, Carlo Fiorina, Alessandro Scolaro, Edoardo Luciano Brunetto

Multi-dimensional fuel performance codes have the potential to enhance the understanding of complex phenomena affecting fuel integrity, but their application is often limited by the high computational cost. Recognizing that many multi-dimensional aspects s ...

PERGAMON-ELSEVIER SCIENCE LTD2022

Analysis-aware defeaturing: Problem setting and a posteriori estimation

Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon

Defeaturing consists in simplifying geometrical models by removing the geometrical features that are considered not relevant for a given simulation. Feature removal and simplification of computer-aided design models enables faster simulations for engineeri ...

2022

Finite element investigation of stability bracing force demands of steel moment resisting frame columns under cyclic loading

Meriton Beqiraj

This thesis examines the out-of-plane stability bracing of deep wide flange steel columns in moment resisting frames (MRFs) under cyclic loading. This is performed through a detailed continuum finite element analysis including a validation process and a pa ...

2021

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

Annalisa Buffa, Rafael Vazquez Hernandez, Riccardo Puppi

Trimming is a common operation in computer aided design and, in its simplest formulation, consists in removing superfluous parts from a geometric entity described via splines (a spline patch). After trimming, the geometric description of the patch remains ...

2020

Decay for the nonlinear KdV equations at critical lengths

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Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

The first Grushin eigenvalue on cartesian product domains

A Ribbon Model for Nematic Polymer Networks

Assessment of the Thermal-Hydraulic Performance of the European DEMO NbTi Bus Bars

Localization errors of the stochastic heat equation

Mechanical performance and upscaling of bio-improved soils

Towards coupling conventional with high-fidelity fuel behavior analysis tools

Analysis-aware defeaturing: Problem setting and a posteriori estimation

Finite element investigation of stability bracing force demands of steel moment resisting frame columns under cyclic loading

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

The first Grushin eigenvalue on cartesian product domains

A Ribbon Model for Nematic Polymer Networks

Assessment of the Thermal-Hydraulic Performance of the European DEMO NbTi Bus Bars

Mechanical performance and upscaling of bio-improved soils

Finite element investigation of stability bracing force demands of steel moment resisting frame columns under cyclic loading

Localization errors of the stochastic heat equation

Towards coupling conventional with high-fidelity fuel behavior analysis tools

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Analysis-aware defeaturing: Problem setting and a posteriori estimation

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries