Dual Lindstedt series and Kolmogorov–Arnol'd–Moser theorem
We prove that there exists a Lindstedt series that holds when a Hamiltonian is driven by a perturbation going to infinity. This series appears to be dual to a standard Lindstedt series as it can be ob...
We prove that there exists a Lindstedt series that holds when a Hamiltonian is driven by a perturbation going to infinity. This series appears to be dual to a standard Lindstedt series as it can be ob...
Analysis of generalized Forchheimer flows of compressible fluids in porous media
This work is focused on the analysis of nonlinear flows of slightly compressible fluids in porous media not adequately described by Darcy's law. We study a class of generalized nonlinear momentum equa...
This work is focused on the analysis of nonlinear flows of slightly compressible fluids in porous media not adequately described by Darcy's law. We study a class of generalized nonlinear momentum equa...
Basic results on the equations of magnetohydrodynamics of partially ionized inviscid plasmas
J. Math. Phys. 50, 103101 (2009); doi:10.1063/1.3246611
Published 15 October 2009
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The equations of evolution of partially ionized plasmas have been far more studied in one of their many simplifications than in its original form. They present a relation between the velocity of each species, plus the magnetic and electric fields, which yield as an analog of Ohm's law a certain elliptic equation. Therefore, the equations represent a functional evolution system, not a classical one. Nonetheless, a priori estimates and theorems of existence may be obtained in appropriate Sobolev spaces.
©2009 American Institute of Physics
| History: | Received 7 April 2009; accepted 17 September 2009; published 15 October 2009 |
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