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GLOBAL ATTRACTOR FOR TWO-DIMENSIONAL WEAKLY DAMPED NONLINEAR PARAMETRIC KLEIN-GORDON SCHRODINGER SYSTEM

  • Olivier Goubet
  • Marilena Poulou
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Abstract

We consider a damped forced nonlinear Klein-Gordon Schr ödinger (KGS) system known as the parametric KGS system with Yukawa coupling where the space variable belongs to R 2 . We prove the existence of a global attractor in dimension 2. Moreover we prove that this global attractor is regular and has finite fractal dimension.

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Cite

BibTeXRIS
BibTeX
@misc{goubet2026global,
  title = {{GLOBAL ATTRACTOR FOR TWO-DIMENSIONAL WEAKLY DAMPED NONLINEAR PARAMETRIC KLEIN-GORDON SCHRODINGER SYSTEM}},
  author = {Olivier Goubet and Marilena Poulou},
  howpublished = {HAL},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2611.03134},
  eprint = {2611.03134},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05846414v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - GLOBAL ATTRACTOR FOR TWO-DIMENSIONAL WEAKLY DAMPED NONLINEAR PARAMETRIC KLEIN-GORDON SCHRODINGER SYSTEM
AU  - Olivier Goubet
AU  - Marilena Poulou
PY  - 2026
DA  - 2026/08/06
PB  - HAL
DO  - 10.48550/arxiv.2611.03134
UR  - https://hal.science/hal-05846414v1
AB  - We consider a damped forced nonlinear Klein-Gordon Schr ödinger (KGS) system known as the parametric KGS system with Yukawa coupling where the space variable belongs to R 2 . We prove the existence of a global attractor in dimension 2. Moreover we prove that this global attractor is regular and has finite fractal dimension.
ER  -