Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential [PDF]
, 2015 We study the linear relaxation Boltzmann equation, a simple semiclassical kinetic model. We provide a resolvent estimate for an associated non-selfadjoint operator as well as an estimate on the return to equilibrium. This is done using a scaling argument
Robbe, Virgile
core +3 more sources
Recovery of the absorption coefficient in radiative transport from a single measurement [PDF]
, 2015 In this paper, we investigate the recovery of the absorption coefficient from boundary data assuming that the region of interest is illuminated at an initial time.
Acosta, Sebastian
core +1 more source
Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model [PDF]
, 2014 We present a parareal in time algorithm for the simulation of neutron diffusion transient model. The method is made efficient by means of a coarse solver defined with large time steps and steady control rods model.
Baudron, Anne-Marie A. -M. +4 more
core +5 more sources
Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation [PDF]
, 2012 In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff.
Glangetas, Léo, Najeme, Mohamed
core +3 more sources
On singularities of capillary surfaces in the absence of gravity
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 81-87, 1983., 1983 We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.
V. Roytburd
wiley +1 more source
Reducing complexity of multiagent systems with symmetry breaking: an application to opinion dynamics with polls [PDF]
, 2017 In this paper we investigate the possibility of reducing the complexity of a system composed of a large number of interacting agents, whose dynamics feature a symmetry breaking.
Cristiani, Emiliano, Tosin, Andrea
core +2 more sources
Rigorous derivation of a binary-ternary Boltzmann equation for a non ideal gas of hard spheres
Forum of Mathematics, SigmaThis paper focuses on dynamics of systems of particles that allow interactions beyond binary, and their behavior as the number of particles goes to infinity.
Ioakeim Ampatzoglou, Nataša Pavlović
doaj +1 more source
Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences
, 1997 The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory,
Boyer +30 more
core +2 more sources
Asymptotic Behavior for a Coalescence Problem [PDF]
, 1993 Consider spherical particles of volume x having paint on a fraction y of their surface area. The particles are assumed to be homogeneously distributed at each time t, so that one can introduce the density number n (x, y, t).
Bruno, Oscar +2 more
core +1 more source
A gradient flow approach to linear Boltzmann equations
, 2020 We introduce a gradient flow formulation of linear Boltzmann equations.
Basile, Giada +2 more
core +1 more source