Publications related to Initial value problem

Existence and Non-uniqueness of Global Weak Solutions to Inviscid Primitive and Boussinesq Equations

We consider the initial value problem for the inviscid Primitive and Boussinesq equations in three spatial dimensions. We recast both systems as an abstract Euler-type system and apply the methods of convex integration of De Lellis and Sz,kelyhidi to show ...

Springer Verlag2017

The size of the sync basin revisited

Philippe René Joseph Jacquod, Robin Delabays

In dynamical systems, the full stability of fixed point solutions is determined by their basins of attraction. Characterizing the structure of these basins is, in general, a complicated task, especially in high dimensionality. Recent works have advocated t ...

Amer Inst Physics2017

Location choice with longitudinal WiFi data

Michel Bierlaire, Matthieu Marie Cochon de Lapparent, Antonin Danalet, Loïc Tinguely

Location-aware data collection technologies provide new insights about location choices. Only a few dynamic models of location choice exist in scientific literature. To our knowledge, none of them correct for serial correlation. In this paper, we model cho ...

University of Leeds2016

Moment bounds and asymptotics for the stochastic wave equation

Robert Dalang, Le Chen

We consider the stochastic wave equation on the real line driven by space time white noise and with irregular initial data. We give bounds on higher moments and, for the hyperbolic Anderson model, explicit formulas for second moments. These bounds imply we ...

Elsevier Science Bv2015

Implementation techniques for the SCFO experimental optimization framework

Dominique Bonvin, Grégory François, Gene Bunin

The material presented in this document is intended as a comprehensive, implementation-oriented supplement to the experimental optimization framework presented in [Bunin, G.A., Francois, G., Bonvin, D.: Feasible-side global convergence in experimental opti ...

arXiv:1406.3997 [math.OC]2014

Oscillatory athermal quasistatic deformation of a model glass

Giuseppe Foffi, Davide Fiocco

We report computer simulations of oscillatory athermal quasistatic shear deformation of dense amorphous samples of a three-dimensional model glass former. A dynamical transition is observed as the amplitude of the deformation is varied: For large values of ...

Amer Physical Soc2013

Comparison of linear and nonlinear plasma response models for non-axisymmetric perturbations

Wilfred Anthony Cooper

With the installation of non-axisymmetric coil systems on major tokamaks for the purpose of studying the prospects of ELM-free operation, understanding the plasma response to the applied fields is a crucial issue. Application of different response models, ...

American Institute of Physics2013

Analytical approximations for the collapse of an empty spherical bubble

Mohamed Farhat, Danail Obreschkow

The Rayleigh equation 3/2 (R) over dot + R(R) double over dot + p rho(-1) = 0 with initial conditions R(0) = R-0, (R) over dot(0) = 0 models the collapse of an empty spherical bubble of radius R(T) in an ideal, infinite liquid with far-field pressure p and ...

2012

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

The Bounded Confidence Model Of Opinion Dynamics

Jean-Yves Le Boudec, Javier Gomez Serrano

The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions evolve globally into ...

World Scientific Publishing2012

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Existence and Non-uniqueness of Global Weak Solutions to Inviscid Primitive and Boussinesq Equations

The size of the sync basin revisited

Location choice with longitudinal WiFi data

Moment bounds and asymptotics for the stochastic wave equation

Implementation techniques for the SCFO experimental optimization framework

Oscillatory athermal quasistatic deformation of a model glass

Comparison of linear and nonlinear plasma response models for non-axisymmetric perturbations

Analytical approximations for the collapse of an empty spherical bubble

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

The Bounded Confidence Model Of Opinion Dynamics

Oscillatory athermal quasistatic deformation of a model glass

Location choice with longitudinal WiFi data

Existence and Non-uniqueness of Global Weak Solutions to Inviscid Primitive and Boussinesq Equations

Moment bounds and asymptotics for the stochastic wave equation

The size of the sync basin revisited

Comparison of linear and nonlinear plasma response models for non-axisymmetric perturbations

Implementation techniques for the SCFO experimental optimization framework

Analytical approximations for the collapse of an empty spherical bubble

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

The Bounded Confidence Model Of Opinion Dynamics