Event Archive
Seminars given by Stefano Olla and Markus Kunze
Thursday, September 29, 2016 at 12:00pm - 03:00pm
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MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY
HILL 705
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MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY
HILL 705
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Stefano Olla - Université Paris-Dauphine
Date/Time/Location
Thursday, September 29th, 12:00pm; Hill 705
Title
"Macroscopic temperature profiles in non-equilibrium stationary states."
Abstract
Systems that have more than one conserved quantity (i.e. energy plus momentum, density etc.), can exhibit quite interesting temperature profiles. I will present some numerical experiment and mathematical result.
Systems that have more than one conserved quantity (i.e. energy plus momentum, density etc.), can exhibit quite interesting temperature profiles. I will present some numerical experiment and mathematical result.
THERE WILL BE A BROWN BAG LUNCH FROM 1-2PM. PLEASE JOIN US
Markus Kunze - University of Cologne
Date/Time/Location
Thursday, September 29th, 2:00pm; Hill 705
Title
"Almost surely recurrent motions in the Euclidean space."
Markus Kunze - University of Cologne
Date/Time/Location
Thursday, September 29th, 2:00pm; Hill 705
Title
"Almost surely recurrent motions in the Euclidean space."
Abstract
We will show that measure-preserving transformations of$R^n$ are recurrent if they satisfy a certain growth condition depending on the dimension $n$. Moreover, it is also shown that this condition is sharp. Examples will include non-autonomous Hamiltonian systems $dot{z}=J
abla_z H(t, z)$ of one degree of freedom and $T$-periodic in $t$, for which our result will imply the existence of a periodic solution, provided that $
abla_z H(t, z) ={cal O}(|z|^{-alpha})$ as $|z|toinfty$ for some $alpha>1$ uniformly in $t$. This is joint work with Rafael Ortega (Granada).
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We will show that measure-preserving transformations of$R^n$ are recurrent if they satisfy a certain growth condition depending on the dimension $n$. Moreover, it is also shown that this condition is sharp. Examples will include non-autonomous Hamiltonian systems $dot{z}=J
abla_z H(t, z)$ of one degree of freedom and $T$-periodic in $t$, for which our result will imply the existence of a periodic solution, provided that $
abla_z H(t, z) ={cal O}(|z|^{-alpha})$ as $|z|toinfty$ for some $alpha>1$ uniformly in $t$. This is joint work with Rafael Ortega (Granada).
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