• 1987 Citations
  • 24 h-Index
1984 …2019
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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

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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

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 journalArticle

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 journalArticle

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 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