Extending the scope of microscopic solvability: Combination of the Kruskal-Segur method with Zauderer decomposition

Details Extending the scope of microscopic solvability: Combination of the Kruskal-Segur method with Zauderer decomposition Extending the scope of microscopic solvability: Combination of the Kruskal-Segur method with Zauderer decomposition

2007-10-25

arxiv.org/abs/0710.4856v1

Nonlinear Sciences

Pattern Formation and Solitons

Submitted to Europhys. Letters, No figures, 5 pages

Scientific paper

10.1209/0295-5075/81/54004

Successful applications of the Kruskal-Segur approach to interfacial pattern formation have remained limited due to the necessity of an integral formulation of the problem. This excludes nonlinear bulk equations, rendering convection intractable. Combining the method with Zauderer's asymptotic decomposition scheme, we are able to strongly extend its scope of applicability and solve selection problems based on free boundary formulations in terms of partial differential equations alone. To demonstrate the technique, we give the first analytic solution of the problem of velocity selection for dendritic growth in a forced potential flow.

Affiliated with

Also associated with

No associations

Rating

Extending the scope of microscopic solvability: Combination of the Kruskal-Segur method with Zauderer decomposition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extending the scope of microscopic solvability: Combination of the Kruskal-Segur method with Zauderer decomposition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extending the scope of microscopic solvability: Combination of the Kruskal-Segur method with Zauderer decomposition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-433010