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| Hlavní autoři: | , , , |
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| Médium: | Preprint |
| Vydáno: |
2022
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| Témata: | |
| On-line přístup: | https://arxiv.org/abs/2204.02421 |
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Obsah:
- This paper provides an asymptotic description of a solution to the Burgers-Hilbert equation in a neighborhood of a point where two shocks interact. The solution is obtained as the sum of a function with $H^2$ regularity away from the shocks plus a corrector term having an asymptotic behavior like |x|ln|x| close to each shock. A key step in the analysis is the construction of piecewise smooth solutions with a single shock for a general class of initial data.