Projects per year

## Fingerprint Fingerprint is based on mining the text of the experts' scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Boltzmann Equation
Mathematics

Entropy
Mathematics

entropy
Physics & Astronomy

Collision
Mathematics

Boltzmann equation
Engineering & Materials Science

Convergence to Equilibrium
Mathematics

Wasserstein Metric
Mathematics

Quantum Entropy
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2009 2018

- 2 Finished

## Variational Problems And Dynamics

National Science Foundation (NSF)

6/1/12 → 5/31/18

Project: Research project

Variational Problem

Evolution Equation

Bacteria

Gagliardo-Nirenberg Inequalities

Minkowski's inequality

## Collaborative Research: Variational Problems And Dynamics

National Science Foundation (NSF)

6/1/09 → 5/31/12

Project: Research project

bacteria

proposals

quantum mechanics

estimates

seepage

## Research Output 1984 2019

## A dual form of the sharp Nash inequality and its weighted generalization

Carlen, E. & Lieb, E. H., Feb 1 2019, In : Bulletin of the London Mathematical Society. 51, 1, p. 129-144 16 p.Research output: Contribution to journal › Article

Convolution

Duality

Sharp Constants

Norm

Sobolev Inequality

## Approach to the Steady State in Kinetic Models with Thermal Reservoirs at Different Temperatures

Carlen, E., Esposito, R., Lebowitz, J., Marra, R. & Mouhot, C., Jul 1 2018, In : Journal of Statistical Physics. 172, 2, p. 522-543 22 p.Research output: Contribution to journal › Article

Nonequilibrium Steady State

Kinetic Model

kinetics

Contraction Mapping

temperature

## Entropy production inequalities for the Kac walk

Carlen, E., Carvalho, M. C. & Einav, A., Jan 1 2018, In : Kinetic and Related Models. 11, 2, p. 219-238 20 p.Research output: Contribution to journal › Article

Boltzmann equation

Entropy Production

Boltzmann Equation

Walk

Entropy

## Inequalities for quantum divergences and the Audenaert-Datta conjecture

Carlen, E., Frank, R. L. & Lieb, E. H., Nov 5 2018, In : Journal of Physics A: Mathematical and Theoretical. 51, 48, 483001.Research output: Contribution to journal › Article

Relative Entropy

Divergence

divergence

Entropy

entropy

1
Citation
(Scopus)

## On multi-dimensional hypocoercive BGK models

Achleitner, F., Arnold, A. & Carlen, E., Jan 1 2018, In : Kinetic and Related Models. 11, 4, p. 953-1009 57 p.Research output: Contribution to journal › Article

BGK Model

Multidimensional Model

Phase Space

Entropy

Local Asymptotic Stability