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Analysis and Approximation of Stochastic Multiscale Subdiffusion Driven by Fractional Gaussian Noise — arXiv:2608.29533

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.29533
License (as archived): CC0-1.0
Archived: 2026-10-17T09:28:27.134Z
SHA-256 of the archived text: 1797d655069798740aceeb7691c5de12778f96737ebe1880c7011058b0be67ed
Stable URL of this page: https://metraipolis.com/documento/dc_4a6ca978eeff

How to cite

Analysis and Approximation of Stochastic Multiscale Subdiffusion Driven by Fractional Gaussian Noise — arXiv:2608.29533 — arXiv (en), https://arxiv.org/abs/2608.29533 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_4a6ca978eeff (Metraipolis archive dc_4a6ca978eeff, sha256 1797d655069798740aceeb7691c5de12778f96737ebe1880c7011058b0be67ed)

BibTeX

@misc{dc4a6ca978eeff,
  title = {Analysis and Approximation of Stochastic Multiscale Subdiffusion Driven by Fractional Gaussian Noise — arXiv:2608.29533},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.29533},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_4a6ca978eeff; sha256 1797d655069798740aceeb7691c5de12778f96737ebe1880c7011058b0be67ed},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.29533. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

This paper investigates a stochastic multiscale subdiffusion model driven by fractional Gaussian noise, where the multiscale Abel kernel with variable exponent $\alpha(t)\in(0,1)$ is used to capture multiscale and crossover behavior in anomalous diffusion. The main difficulties of this model lie in the complexity of the multiscale Abel kernel (e.g. non-monotonicity and non-coercivity) and the low regularity caused by the noise. Concerning these issues, we prove the well-posedness and regularity of the mild solutions by means of solution operator approach and a perturbation technique for multiscale Abel kernel. Then both the semidiscrete-in-time and fully-discrete numerical schemes are proposed and analyzed under the low-regularity numerical analysis framework, with proved temporal and spatial convergence rates. Numerical experiments are presented to substantiate the theoretical results.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-01 in math.NA).
Categorie arXiv: Numerical Analysis (math.NA).
Pagina del lavoro: https://arxiv.org/abs/2608.29533 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T08:59:54.354Z dalla pagina https://arxiv.org/catchup/math.NA/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).