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Global Ill-Posedness of the Isentropic System of Gas Dynamics

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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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Localization errors of the stochastic heat equation

Conjugate heat transfer in isolated granular clusters with interstitial fluid using lattice Boltzmann method

Constraint-aware neural networks for Riemann problems

Two-fluid plasma model for radial Langmuir probes as a converging nozzle with sonic choked flow, and sonic passage to supersonic flow

Two-fluid solutions for Langmuir probes in collisionless and isothermal plasma, over all space and bias potential

One-dimensional fluid–structure interaction models in pressurized fluid-filled pipes: a review

Non-uniqueness of admissible weak solutions to the Riemann problem for isentropic Euler equations

A comparative study of shock capturing models for the discontinuous Galerkin method

Fluid-structure interaction for vascular flows: From supercomputers to laptops

An overview of some recent results on the Euler system of isentropic gas dynamics

Localization errors of the stochastic heat equation

One-dimensional fluid–structure interaction models in pressurized fluid-filled pipes: a review

A comparative study of shock capturing models for the discontinuous Galerkin method

Two-fluid plasma model for radial Langmuir probes as a converging nozzle with sonic choked flow, and sonic passage to supersonic flow

Conjugate heat transfer in isolated granular clusters with interstitial fluid using lattice Boltzmann method

Two-fluid solutions for Langmuir probes in collisionless and isothermal plasma, over all space and bias potential

Non-uniqueness of admissible weak solutions to the Riemann problem for isentropic Euler equations

Fluid-structure interaction for vascular flows: From supercomputers to laptops

An overview of some recent results on the Euler system of isentropic gas dynamics

Constraint-aware neural networks for Riemann problems