Analysis of nonlinear parabolic equations modeling plasma diffusion across a magnetic field

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Description

We analyse the evolutionary behavior of the solution of a pair of coupled quasilinear parabolic equations modeling the diffusion of heat and mass of a magnetically confined plasma. The solutions's behavior, due to the nonlinear diffusion coefficients, exhibits many new phenomena. In short time, the solution converges into a highly organized symmetric pattern that is almost completely independent of initial data. The asymptotic dynamics then become very simple and take place in a finite dimensional space. These conclusions are backed by extensive numerical experimentation.

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Pages: 30

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Hyman, J.M. & Rosenau, P. January 1, 1984.

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Description

We analyse the evolutionary behavior of the solution of a pair of coupled quasilinear parabolic equations modeling the diffusion of heat and mass of a magnetically confined plasma. The solutions's behavior, due to the nonlinear diffusion coefficients, exhibits many new phenomena. In short time, the solution converges into a highly organized symmetric pattern that is almost completely independent of initial data. The asymptotic dynamics then become very simple and take place in a finite dimensional space. These conclusions are backed by extensive numerical experimentation.

Physical Description

Pages: 30

Notes

NTIS, PC A03/MF A01.

Source

  • American Mathematical Society/SIAM meeting, Santa Fe, NM, USA, 23 Jul 1984

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  • Other: DE85007683
  • Report No.: LA-UR-85-723
  • Report No.: CONF-8407103-2
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 6127362
  • Archival Resource Key: ark:/67531/metadc1107342

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Office of Scientific & Technical Information Technical Reports

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  • January 1, 1984

Added to The UNT Digital Library

  • Feb. 22, 2018, 7:45 p.m.

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  • May 11, 2018, 11:54 a.m.

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Hyman, J.M. & Rosenau, P. Analysis of nonlinear parabolic equations modeling plasma diffusion across a magnetic field, article, January 1, 1984; New Mexico. (digital.library.unt.edu/ark:/67531/metadc1107342/: accessed October 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.