## Search

Now showing items 1-10 of 33

#### Measure-valued weak solutions to some kinetic equations with singular kernels for quantum particles

(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 ...

#### Isotropic Bipolaron-Fermion-Exchange Theory and Unconventional Pairing in Cuprate Superconductors

(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 ...

#### RandomFront 2.3 A physical parametrisation of fire-spotting for operational fire spread models: Implementation in WRF-Sfire and response analysis with LSFire+

(2018-12)

Fire-spotting is often responsible for a dangerous flare up in the wildfire and causes secondary ignitions isolated from
the primary fire zone leading to perilous situations. The main aim of the present research to provide ...

#### Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments

(2018-11)

In the Fourier heat conduction equation, when the flux definition is expressed as the product of a constant diffusivity and the temperature gradient, the characteristic length scale evolves as the square root of time. ...

#### Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion

(2018-10-25)

We consider an ensemble of Ornstein–Uhlenbeck processes featuring a population of relaxation times and a population of noise amplitudes that characterize the heterogeneity of the ensemble. We show that the centre-of-mass ...

#### Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers

(2018-10-18)

The emerging diffusive dynamics in many complex systems shows a
characteristic crossover behaviour from anomalous to normal diffusion which
is otherwise fitted by two independent power-laws. A prominent example for
a ...

#### On the geometry of strongly flat semigroups and their generalizations

(2018-09-18)

Our goal is to convince the readers that the theory of complex normal surface singularities can be a powerful tool in the study of numerical semigroups, and, in the same time, a very rich source of interesting affine and ...

#### Multiplicity and degree as bi‐Lipschitz invariants for complex sets

(2018-08-29)

We study invariance of multiplicity of complex analytic germs and degree of complex affine sets under outer bi-Lipschitz
transformations (outer bi-Lipschitz homeomorphims of germs in the first case and outer bi-Lipschitz ...

#### Némethi’s division algorithm for zeta-functions of plumbed 3-manifolds

(2018-08-27)

A polynomial counterpart of the Seiberg-Witten invariant associated with a negative definite
plumbing 3-manifold has been proposed by earlier work of the authors. It is provided by a
special decomposition of the zeta-function ...

#### Some classes of homeomorphisms that preserve multiplicity and tangent cones

(2018-08-19)

In this paper it is presented some classes of homeomorphisms that preserve multiplicity and tangent cones of complex analytic sets. Moreover, we present a class of homeomorphisms that has the multiplicity as an invariant ...