Corpus ID: 202677460

Global martingale solutions for quasilinear SPDES via the boundedness-by-entropy method

@article{Dhariwal2019GlobalMS,
  title={Global martingale solutions for quasilinear SPDES via the boundedness-by-entropy method},
  author={Gaurav Dhariwal and F. Huber and A. Jungel and C. Kuehn and Alexandra Neamtu},
  journal={arXiv: Probability},
  year={2019}
}
  • Gaurav Dhariwal, F. Huber, +2 authors Alexandra Neamtu
  • Published 2019
  • Mathematics
  • arXiv: Probability
  • The existence of global-in-time bounded martingale solutions to a general class of cross-diffusion systems with multiplicative Stratonovich noise is proved. The equations describe multicomponent systems from physics or biology with volume-filling effects and possess a formal gradient-flow or entropy structure. This structure allows for the derivation of almost surely positive lower and upper bounds for the stochastic processes. The existence result holds under some assumptions on the interplay… CONTINUE READING
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    References

    SHOWING 1-10 OF 55 REFERENCES
    Global martingale solutions for a stochastic population cross-diffusion system
    • 4
    • PDF
    The boundedness-by-entropy method for cross-diffusion systems
    • 125
    • Highly Influential
    • PDF
    Pathwise mild solutions for quasilinear stochastic partial differential equations.
    • 12
    • PDF
    Analysis of degenerate cross-diffusion population models with volume filling
    • 48
    • PDF
    Existence Analysis of Maxwell-Stefan Systems for Multicomponent Mixtures
    • 61
    • PDF
    A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type
    • 40
    • PDF
    Strong Solutions for Stochastic Partial Differential Equations of Gradient Type
    • 53
    • PDF
    Quasilinear SPDEs via Rough Paths
    • 55
    • PDF
    A Solution Theory for Quasilinear Singular SPDEs
    • 24
    • PDF