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arxiv: solv-int/9411005 · v1 · submitted 1994-11-17 · solv-int · astro-ph· chao-dyn· comp-gas· nlin.CD· nlin.CG· nlin.SI

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Limits to Extensions of Burgers Equation

Steven Nerney (National Research Council Associate , NASA-Marshall Space Flight Center , Alabama 35812) , Edward J. Schmahl (Astronomy Department , University of Maryland , College Park , MD 20742) , Z. E. Musielak (Department of Mechanical
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Aerospace Engineering Center for Space Plasmas Aeronomic Research University of Alabama at Huntsville Huntsville Alabama 35899)
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classification solv-int astro-phchao-dyncomp-gasnlin.CDnlin.CGnlin.SI
keywords burgersequationphysicalbecauseclearlycole-hopfdemonstratesextended
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The vector Burgers equation is extended to include pressure gradients and gravity. It is shown that within the framework of the Cole-Hopf transformation there are no physical solutions to this problem. This result is important because it clearly demonstrates that any extension of Burgers equation to more interesting physical situations is strongly limited.

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