Macroscopic Non-uniqueness and Limits of Hamiltonian Dynamics
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 s...
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28.09.2016
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Abstract | 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. |
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AbstractList | 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. |
Author | Dostoglou, Stamatis Xue, Jianfei |
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Snippet | We construct explicit examples of spontaneous energy generation and non-uniqueness for the compressible Euler system, with and without pressure, by taking... |
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SubjectTerms | Compressibility Quantum theory Structural adjustment Uniqueness Well posed problems |
Title | Macroscopic Non-uniqueness and Limits of Hamiltonian Dynamics |
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