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PreprintCC BY 4.0HAL

THE ZERO-DISPERSION LIMIT OF THE PERIODIC BENJAMIN-ONO EQUATION FOR SQUARE-INTEGRABLE DATA

  • Xi Chen
Open at sourcePDFCite

Abstract

We prove that, for every u0∈ L2(𝕋;ℝ), the corresponding real-valued solution of the Benjamin--Ono equation on the circle has a unique zero-dispersion limit in L2(𝕋;ℝ).

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Cite

BibTeXRIS
BibTeX
@misc{chen2026zerodispersion,
  title = {{THE ZERO-DISPERSION LIMIT OF THE PERIODIC BENJAMIN-ONO EQUATION FOR SQUARE-INTEGRABLE DATA}},
  author = {Xi Chen},
  howpublished = {HAL},
  year = {2026},
  month = aug,
  url = {https://hal.science/hal-05731989v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - THE ZERO-DISPERSION LIMIT OF THE PERIODIC BENJAMIN-ONO EQUATION FOR SQUARE-INTEGRABLE DATA
AU  - Xi Chen
PY  - 2026
DA  - 2026/08/31
PB  - HAL
UR  - https://hal.science/hal-05731989v1
AB  - We prove that, for every u_0∈ L^2(𝕋;ℝ), the corresponding real-valued solution of the Benjamin--Ono equation on the circle has a unique zero-dispersion limit in L^2(𝕋;ℝ).
ER  -