Results 71 to 80 of about 667 (82)

Hypocoercivity for the non-linear semiconductor Boltzmann equation [PDF]

open access: yesarXiv
A kinetic model for semiconductor devices is considered on a flat torus. We prove exponential decay to equilibrium for this non-linear kinetic model by hypocoercivity estimates. This seems to be the first hypocoercivity result for this nonlinear kinetic equation for semiconductor devices without smallness assumptions. The analysis benefits from uniform
arxiv  

On a novel gradient flow structure for the aggregation equation. [PDF]

open access: yesCalc Var Partial Differ Equ
Esposito A   +3 more
europepmc   +1 more source

The State of US Health, 1990-2016: Burden of Diseases, Injuries, and Risk Factors Among US States.

open access: yesJAMA, 2018
US Burden of Disease Collaborators   +115 more
europepmc   +1 more source
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Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations

Oberwolfach Reports, 2022
Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, numerical discretization and ...
C. Klingenberg, Qin Li, M. Pirner
semanticscholar   +1 more source

Many-Body Quantum Systems and Effective Theories

, 2016
In the last years, substantial progress has been made in many areas of mathematical physics. The goal of this workshop was to bring together researchers working on analytic and probabilistic aspects of many-body quantum systems and quantum statistical ...
C. Hainzl, B. Schlein, R. Seiringer
semanticscholar   +1 more source

The KdV Equation in Stratified Fluid Flow

, 1983
This paper describes a method for the formal derivation of the equation governing long waves on the surface of a shallow fluid which is stably and continuously stratified.
A. Jeffrey
semanticscholar   +1 more source

Relations Between Certain Abstract Sobolev Problems and an Associated Euler-Poisson-Darboux Problems

, 1985
AMS (MOS): 35Q20, 34G10 Let X be a Banach space and let B be the generator of a continuous group in X such that A = B2 generates an equibounded semi-group. Let C generate a continuous group in X or else generate an equibounded semi-group in X . If A · C =
R. Carroll, L. Bragg
semanticscholar   +1 more source

Numerical Study of Partially Conservative Moment Equations in Kinetic Theory

, 2017
Moment models are often used for the solution of kinetic equations such as the Boltzmann equation. Unfortunately, standard models like Grad’s equations are not hyperbolic and can lead to nonphysical solutions.
Julian Koellermeier, M. Torrilhon
semanticscholar   +1 more source

On Singular Closures for the 5-Moment System in Kinetic Gas Theory

, 2015
Moment equations provide a flexible framework for the approximation of the Boltzmann equation in kinetic gas theory. While moments up to second order are sufficient for the description of equilibrium processes, the inclusion of higher order moments, such
R. Schaerer, M. Torrilhon
semanticscholar   +1 more source

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