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Now showing items 1-10 of 30

#### On the merits of sparse surrogates for global sensitivity analysis of multi-scale nonlinear problems: Application to turbulence and fire-spotting model in wildland fire simulators

(J. Math. Anal. Appl., 2021)

We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of classical and short-range quantum dynamics. ...

#### Langevin equation in complex media and anomalous diffusion

(J. Math. Anal. Appl., 2021)

We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical ...

#### Logarithmic connections on principal bundles over a Riemann surface

(Physics of Particles and Nuclei, 2020)

The aim of the current paper is to illustrate, in a simple example, our recent, very general, rigorous results on the dynamical properties of fermions and quantum-spin systems with long-range, or meanfield, interactions, ...

#### The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes

(2019-10-30)

This thesis is a study of equilibrium and dynamical properties of macroscopic quantum many-body problems. An important part of the manuscript concerns the study of heat and charge transport properties of fermions on the ...

#### Wildfire propagation modelling

(J. Math. Pures Appl., 2019-01-22)

The growing need for smaller electronic components has recently sparked the interest in the breakdown of the classical conductivity theory near the atomic scale, at which quantum effects should dominate. In 2012, experimental ...

#### Short note on the emergence of fractional kinetics

(The Astrophysical Journal, 2019-01-10)

We investigate the old problem of the fast relaxation of collisionless N-body systems that are collapsing or perturbed,
emphasizing the importance of (noncollisional) discreteness effects. We integrate orbit ensembles in ...

#### The emergence of self-organization in complex systems-Preface

(2018-12-19)

In this thesis, we present a mathematical study of three problems arising in the kinetic theory of quantum gases.
In the first part, we consider a Boltzmann equation that is used to describe the time evolution of the ...

#### The role of the environment in front propagation

(Ann. Phys. (Berl.), 2018-12-10)

The discovery of high-temperature superconductors in 1986 represented a major experimental breakthrough (Nobel Prize 1987), but their theoretical explanation is still a subject of much debate. These materials have many ...

#### Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency

(2018-08-15)

A Boltzmann equation, used to describe the Compton scattering in the non-relativistic limit is considered. A truncation of the very singular redistribution function is introduced and justified. The existence of weak solutions ...

#### Fractional relaxation with time-varying coefficient

(2018-03-27)

The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of ...