Publications related to Optimal lower bounds on hitting probabilities for stochastic heat equations in spatial dimension k >= 1

Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions

We study the nonlinear stochastic heat equation in the spatial domain R, driven by space-time white noise. A central special case is the parabolic Anderson model. The initial condition is taken to be a measure on R, such as the Dirac delta function, but th ...

Inst Mathematical Statistics2015

Asymptotic bifurcation and second order elliptic equations on R-N

Charles Stuart

This paper deals with asymptotic bifurcation, first in the abstract setting of an equation G(u) = lambda u, where G acts between real Hilbert spaces and lambda is an element of R, and then for square-integrable solutions of a second order non-linear ellipt ...

Elsevier Science Bv2015

Computing Extremal Points Of Symplectic Pseudospectra And Solving Symplectic Matrix Nearness Problems

Daniel Kressner

We study differential equations that lead to extremal points in symplectic pseudospectra. In a two-level approach, where on the inner level we compute extremizers of the symplectic epsilon-pseudospectrum for a given epsilon and on the outer level we optimi ...

Siam Publications2014

Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions

Le Chen

In this thesis, we study several stochastic partial differential equations (SPDE’s) in the spatial domain R, driven by multiplicative space-time white noise. We are interested in how rough and unbounded initial data affect the random field solution and the ...

EPFL2013

Time scale analysis of bedload discharge over steep slopes: from intermittency to white noise.

Christophe Ancey, Joris Heyman, François Mettra, Hongbo Ma

Bedload transport remains largely unpredictable in steep slope rivers. Comparing experimental data obtained in a steep slope flume and a stochastic model, we show that bedload discharge statistics strongly depend on the measurement time and spatial scale. ...

2013

Gaussian upper density estimates for spatially homogeneous SPDEs

We consider a general class of SPDEs in mathbb{R}^d driven by a Gaussian spatially homogeneous noise which is white in time. We provide sufficient conditions on the coefficients and the spectral measure associated to the noise ensuring that the density of ...

2012

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Adelmo Cristiano Innocenza Malossi

The aim of this work is the development of a geometrical multiscale framework for the simulation of the human cardiovascular system under either physiological or pathological conditions. More precisely, we devise numerical algorithms for the partitioned so ...

EPFL2012

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Joachim Krieger

In this paper we prove the global in time well-posedness of the following non-local diffusion equation with

\alpha\, \varepsilon [0, 2/3)

:

\partial_tu=\{(-\Delta)^{-1}u\}\Delta u+\alpha u^2, \,\, u(t=0)=u_0

. The initial condition

u_0

is positive, rad ...

2012

Localization of Diffusive Sources Using Spatiotemporal Measurements

Martin Vetterli, Yue Lu, Pier Luigi Dragotti

Consider a diffusion field induced by a finite number of localized and instantaneous sources. In this paper, we study the problem of estimating these sources (including their intensities, spatial locations, and activation time) from the spatiotemporal samp ...

2011

An adaptive finite-volume method for a model of two-phase pedestrian flow

Ricardo Esteban Ruiz Baier

A flow composed of two populations of pedestrians moving in different directions is modeled by a two-dimensional system of convection-diffusion equations. An efficient simulation of the two-dimensional model is obtained by a finite-volume scheme combined w ...

American Institute of Mathematical Sciences2011

Optimal lower bounds on hitting probabilities for stochastic heat equations in spatial dimension k >= 1

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Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions

Asymptotic bifurcation and second order elliptic equations on R-N

Computing Extremal Points Of Symplectic Pseudospectra And Solving Symplectic Matrix Nearness Problems

Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions

Time scale analysis of bedload discharge over steep slopes: from intermittency to white noise.

Gaussian upper density estimates for spatially homogeneous SPDEs

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Localization of Diffusive Sources Using Spatiotemporal Measurements

An adaptive finite-volume method for a model of two-phase pedestrian flow

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Asymptotic bifurcation and second order elliptic equations on R-N

Computing Extremal Points Of Symplectic Pseudospectra And Solving Symplectic Matrix Nearness Problems

Localization of Diffusive Sources Using Spatiotemporal Measurements

Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions

Time scale analysis of bedload discharge over steep slopes: from intermittency to white noise.

Gaussian upper density estimates for spatially homogeneous SPDEs

An adaptive finite-volume method for a model of two-phase pedestrian flow