image/svg+xml   Self-regularization of Hamiltonian systems Michal Pavelka joint work with Václav Klika H. C. Öttinger, Beyond Equilibrium Thermodynamics, Wiley 2005Michal Pavelka, Václav Klika and Miroslav Grmela. Multiscale Thermo-Dynamics, de Gruyter 2018 H. C. Öttinger, Beyond Equilibrium Thermodynamics, Wiley 2005Michal Pavelka, Václav Klika and Miroslav Grmela. Multiscale Thermo-Dynamics, de Gruyter 2018 V.I. Arnold. Sur la géometrie différentielle des groupes de Lie de dimension infini et ses applications dans l’hydrodynamique des fluides parfaits. Annales de l’institut Fourier,16(1):319–361, 1966.Annals of PhysicsVolume 125, Issue 1, March 1980, Pages 67-97Annals of PhysicsPoisson brackets in condensed matter physicsAuthor links open overlay panelI.E.DzyaloshinskiiG.E.Volovick   -1.5 -1 -0.5 0 0.5 1 1.5 0 100 200 300 400 500 600 700 800 900 1000 m t mx my mz -1.5 -1 -0.5 0 0.5 1 1.5 0 100 200 300 400 500 600 700 800 900 1000 m t mx my mz -1.5 -1 -0.5 0 0.5 1 1.5 0 100 200 300 400 500 600 700 800 900 1000 m t mx my mz Hamiltonian evolution for angular momentum in the body frame Numerical solution reversible, conservative, Explicit Euler irreversible, dissipative, Crank-Nicolson No self-regularization, explicit Euler Reversible self-regularization, explicit Euler Dissipative self-regularization, Crank-Nicolson Other applications Fluid mechanics Kinetic theory Pavelka and Klika, Self-regularization of Hamiltonian systems, submitted to Physica D We seek assistance with numerics! Explorer 1 misssion unexpected change of rotation picture from Wikipedia
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