Projects per year

## Fingerprint Dive into the research topics where Eric Carlen is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Boltzmann Equation
Mathematics

Entropy
Mathematics

entropy
Physics & Astronomy

Collision
Mathematics

Convergence to Equilibrium
Mathematics

Quantum Entropy
Mathematics

Wasserstein Metric
Mathematics

Relative 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

## Quantitative bounds on the rate of approach to equilibrium for some one-dimensional stochastic nonlinear Schrödinger equations

Carlen, E., Fröhlich, J., Lebowitz, J. & Wang, W. M., Mar 21 2019, In : Nonlinearity. 32, 4, p. 1352-1374 23 p.Research output: Contribution to journal › Article

Nonlinear equations

nonlinear equations

Stochastic Equations

Nonlinear Equations

Canonical Ensemble

## Some trace inequalities for exponential and logarithmic functions

Carlen, E. & Lieb, E. H., Aug 1 2019, In : Bulletin of Mathematical Sciences. 9, 2, 1950008.Research output: Contribution to journal › Article

Open Access

Trace Inequality

Relative Entropy

Logarithmic

Quantum Entropy

Positive Matrices

## 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