Balanced Flux Formulations for Multidimensional Evans Function Computations for Viscous Shocks

The Evans function is a powerful tool for the stability analysis of viscous shock profiles; zeros of this function carry stability information. In the one-dimensional case, it is typical to compute the Evans function using Goodman's integrated coordinates [G1]; this device facilitates the search for zeros of the Evans function by winding number arguments. Although integrated coordinates are not available in the multidimensional case, we show here that there is a choice of coordinates which gives similar advantages.


Publication Date:
Mar 06 2017
Date Submitted:
Aug 10 2018
ISSN:
1552-4485
Citation:
Quarterly Appl. Math.
73
Note:
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 Record created 2018-08-10, last modified 2019-04-03


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