Corrections to the article “The multivelocity Peierls potential in the problem of refining the classical fundamental acoustic potential near the source of sound in a homogeneous Maxwellian gas”.
Corrections to the article `Weighted Monte Carlo methods for approximate solution of a nonlinear Boltzmann equation'.
Corrigendum for the comparison theorems in : “A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations”
Coupling of transport and diffusion models in linear transport theory
This paper is concerned with the coupling of two models for the propagation of particles in scattering media. The first model is a linear transport equation of Boltzmann type posed in the phase space (position and velocity). It accurately describes the physics but is very expensive to solve. The second model is a diffusion equation posed in the physical space. It is only valid in areas of high scattering, weak absorption, and smooth physical coefficients, but its numerical solution is much cheaper...
Coupling of transport and diffusion models in linear transport theory
This paper is concerned with the coupling of two models for the propagation of particles in scattering media. The first model is a linear transport equation of Boltzmann type posed in the phase space (position and velocity). It accurately describes the physics but is very expensive to solve. The second model is a diffusion equation posed in the physical space. It is only valid in areas of high scattering, weak absorption, and smooth physical coefficients, but its numerical solution is...
Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type
In this paper we study the asymptotic behavior of solutions to the damped, nonlinear vibration equation with self-interaction which is known as degenerate if , and non-degenerate if . We would like to point out that, to the author’s knowledge, exponential decay for this type of equations has been studied just for the special cases of . Our aim is to extend the validity of previous results in [5] to both to the degenerate and non-degenerate cases of . We extend our results to equations with...
Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain
Decay rates of Volterra equations on ℝN
This note is concerned with the linear Volterra equation of hyperbolic type on the whole space ℝN. New results concerning the decay of the associated energy as time goes to infinity were established.
Delayed von Foerster equation.
Determining the relaxation kernel in nonlinear one-dimensional viscoelasticity.
Diffusion approximation of nonlinear electron phonon collision mechanisms
Dinámica no markoviana en complejos de colisión electrón-molécula
Discrete Models of Time-Fractional Diffusion in a Potential Well
Mathematics Subject Classification: 26A33, 45K05, 60J60, 60G50, 65N06, 80-99.By generalization of Ehrenfest’s urn model, we obtain discrete approximations to spatially one-dimensional time-fractional diffusion processes with drift towards the origin. These discrete approximations can be interpreted (a) as difference schemes for the relevant time-fractional partial differential equation, (b) as random walk models. The relevant convergence questions as well as the behaviour for time tending to infinity...
Dissipatività e unicità per il problema dinamico unidimensionale della viscoelasticità lineare
Fissato lo spazio di Sobolev come ambiente del problema dinamico per un corpo viscoelastico unidimensionale si dimostra un teorema di unicità per la classe delle funzioni di rilassamento convesse. Si fa inoltre vedere come tale unicità sia strettamente legata allo spazio ambiente considerato.
Dissipatività ed esistenza per il problema dinamico unidimensionale della viscoelasticità lineare
In questa nota si completa la studio (iniziato in [1]) della caratterizzazione delle funzioni di rilassamento per le quali il problema dinamico della viscoelasticità lineare, con condizioni di spostamento nullo agli estremi, risulta ben posto nello spazio di Sobolev . Precisamente, per un'opportuna classe di sollecitazioni esterne, si dimostra l'esistenza della soluzione, se le funzioni di rilassamento sono positive, convesse ed hanno il modulo di elasticità all'equilibrio strettamente maggiore...
Double-barriers-reflected BSDEs with jumps and viscosity solutions of parabolic integrodifferential PDEs.
Dust and self-similarity for the Smoluchowski coagulation equation
Équation de la chaleur et réflections multiples
Équation de transport. Théorie spectrale et approximation de la diffusion
Equation Of Heat Conduction With Finite Wave Speeds