Well-posedness and blow-up for a non-local elliptic–hyperbolic system related to short-pulse equation
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00033-022-01816-7.pdf
Reference54 articles.
1. Schäfer, T., Wayne, C.E.: Propagation of ultra-short optical pulses in cubic nonlinear media. Phys. D 196, 90–105 (2004)
2. Sakovich, A., Sakovich, S.: The short pulse equation is integrable. J. Phys. Soc. Japan 74, 239–241 (2005)
3. Pelinovsky, D., Sakovich, A.: Global well-posedness of the short-pulse and sine-Gordon equations in energy space. Comm. Partial Differ. Equations 35(4), 613–629 (2010)
4. Liu, Y., Pelinovsky, D., Sakovich, A.: Wave breaking in the short-pulse equation. Dyn. Partial Differ. Equ. 6(4), 291–310 (2009)
5. Coclite, G.M., di Ruvo, L.: Wellposedness results for the short pulse Equation. Z. Angew. Math. Phys. 66, 1529–1557 (2015)
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