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Mathematical Physics Seminar

Seminar given by Stefano Olla and Markus Kunze

Location: 
Date & time: Thursday, 29 September 2016 at 12:00PM - 3:00PM

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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.


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."

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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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
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