Corpus ID: 202677460

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

  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},
  • 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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