Mathematics
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984stin...8510892a&link_type=abstract
Unknown
Mathematics
Hydrodynamic Equations, Kepler Laws, Mathematical Models, Schroedinger Equation, Thermodynamics, Navier-Stokes Equation, Newtonian Fluids, Optimization, Planetary Evolution, Planetary Orbits, Transformations (Mathematics)
Scientific paper
A Newtonian diffusion model is applied to the formation of planetary orbits. A Navier-Stokes dissipative equation, whose solutions can be found by reduction to the linear heat equation by a transformation for going from the nonlinear equations for stochastic velocities (equivalent to the stochastic equation for the position process) to the Schroedinger equation for the quantities associated with the distribution of the process, is outlined. The solutions give velocity fields which are singular on the nodal surfaces of the solutions of the heat equation.
Albeverio Sergio
Blanchard Ph.
Hoegh-Krohn Raphael
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