Complex Blow-Up in Burgers' Equation: an Iterative Approach

Details Complex Blow-Up in Burgers' Equation: an Iterative Approach Complex Blow-Up in Burgers' Equation: an Iterative Approach

1996-10-31

arxiv.org/abs/solv-int/9610013v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages in LaTeX. To appear in Bull. Aust. Math. Soc

Scientific paper

We show that for a given holomorphic noncharacteristic surface S in two-dimensional complex space, and a given holomorphic function on S, there exists a unique meromorphic solution of Burgers' equation which blows up on S. This proves the convergence of the formal Laurent series expansion found by the Painlev\'e test. The method used is an adaptation of Nirenberg's iterative proof of the abstract Cauchy-Kowalevski theorem.

Affiliated with

Also associated with

No associations

Rating

Complex Blow-Up in Burgers' Equation: an Iterative Approach 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 Complex Blow-Up in Burgers' Equation: an Iterative Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex Blow-Up in Burgers' Equation: an Iterative Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92477