Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 11 min ago
PreprintCC BY 4.0arXiv

π’Ÿ-Pullback Measure Attractors of McKean-Vlasov Stochastic Lattice Wave Equations

  • Huixia Wen
  • Ji Shu
  • Gang He
Open at sourcePDFDOICite

Abstract

This paper deals with the pullback measure attractor for a non-autonomous distribution-dependent stochastic lattice wave equation with nonlinear noise on β„€. We establish well-posedness in the energy space β„“2Γ—β„“2 and show that the solution generates a continuous non-autonomous dynamical system on 𝒫4(β„“2Γ—β„“2), which possesses a unique pullback measure attractor π’œ. Furthermore, we prove the convergence of the attractor π’œΞ΅ as Ξ΅β†’ 0+ to the attractor of the corresponding distribution-independent limit system.

Related

  1. Pullback Measure Attractors, Zero-Noise Limits, and Moderate Deviations for 2D Stochastic Primitive Equations with Multiplicative LΓ©vy Noise
    Jiangwei Zhang, Boling Guo, Juntao Wu
    arXivPreprintarXiv licenceFull textDynamical systemsProbabilityarXiv
  2. Weak Averaging Principle and Weak Pullback Attractors for Mckean--Vlasov Stochastic Navier--Stokes Equations
    Honglei Chen, Zhenxin Liu
    arXivPreprintarXiv licenceFull textDynamical systemsProbabilityarXiv
  3. Random Pullback Attractors and Numerical Approximation for Nonlocal Lattice Delay Equations Driven by Rough Noise
    Lijuan Zhang, Jiangwei Zhang, Jianhua Huang
    arXivPreprintarXiv licenceFull textDynamical systemsarXiv
  4. State-law dynamics of McKean-Vlasov stochastic reaction-diffusion equations on ℝn: pullback random attractors and zero-noise stability
    Guifen Liu, Yangrong Li
    arXivPreprintarXiv licenceFull textAnalysis & PDEsProbabilityarXiv
  5. Pullback exponential attractors for 3D non-autonomous Boussinesq equations with fractional Laplacian
    Tong Kou, Hui Liu, Xiuqing Wang +1
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{wen2026π’Ÿpullback,
  title = {{$\mathcalD$-Pullback Measure Attractors of McKean-Vlasov Stochastic Lattice Wave Equations}},
  author = {Huixia Wen and Ji Shu and Gang He},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.16388},
  eprint = {2610.16388},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.16388},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - π’Ÿ-Pullback Measure Attractors of McKean-Vlasov Stochastic Lattice Wave Equations
AU  - Huixia Wen
AU  - Ji Shu
AU  - Gang He
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.16388
UR  - https://arxiv.org/abs/2610.16388
AB  - This paper deals with the pullback measure attractor for a non-autonomous distribution-dependent stochastic lattice wave equation with nonlinear noise on β„€. We establish well-posedness in the energy space β„“^2Γ—β„“^2 and show that the solution generates a continuous non-autonomous dynamical system on 𝒫_4(β„“^2Γ—β„“^2), which possesses a unique pullback measure attractor π’œ. Furthermore, we prove the convergence of the attractor π’œ^Ξ΅ as Ξ΅β†’ 0^+ to the attractor of the corresponding distribution-independent limit system.
ER  -