Physics – Plasma Physics
Scientific paper
Oct 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1177...64w&link_type=abstract
FROM LEONARDO TO ITER: NONLINEAR AND COHERENCE ASPECTS. AIP Conference Proceedings, Volume 1177, pp. 64-71 (2009).
Physics
Plasma Physics
Partial Differential Equations, Boundary Layer Turbulence, General Relativity, Partial Differential Equations, Instability Of Boundary Layers, Separation, Classical General Relativity
Scientific paper
A set of coupled relativistic nonlinear partial differential vortex equations are constructed and solved explicitly for given initial boundary conditions. The analysis is simplified by using symmetries in the coupled equations to avoid successive integrations in terms of Abel type elliptic integrals. The solutions may represent expanding or contracting forms of universal or nanoscale structures. Applications are to be found in astro and fusion plasma physics as well as in solid state physics and cosmology.
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