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Eric Carlen

  • 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 Problems And Dynamics

Carlen, E.

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

Carlen, E.

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