Limits to Extensions of Burgers Equation

Details Limits to Extensions of Burgers Equation Limits to Extensions of Burgers Equation

1994-11-17

arxiv.org/abs/solv-int/9411005v1

Astronomy and Astrophysics

Astrophysics

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Scientific paper

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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