Macroscopic non-uniqueness and limits of Hamiltonian dynamics.

Autor:	S Dostoglou, Jianfei Xue
Předmět:	UNIQUENESS (Mathematics) HAMILTONIAN systems TRANSPORT theory COMPRESSIBLE flow CAUCHY problem TRANSPORT equation
Zdroj:	Nonlinearity; Dec2017, Vol. 30 Issue 12, p1-1, 1p
Abstrakt:	We construct explicit examples of spontaneous energy generation and non-uniqueness for the compressible Euler system, with and without pressure, by taking limits of Hamiltonian dynamics as the number of molecules increases to infinity. The examples come from rescalings of well-posed, deterministic systems of molecules that either collide elastically or interact via singular pair potentials. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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