• 1920 Citations
  • 24 h-Index
1984 …2019
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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

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Projects 2009 2018

Variational Problem
Evolution Equation
Bacteria
Gagliardo-Nirenberg Inequalities
Minkowski's inequality
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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

BGK Model
Multidimensional Model
Phase Space
Entropy
Local Asymptotic Stability