3-4期

最新文章

• Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces AI翻译
  作者：Breit, Dominic; Feireisl, Eduard; Hofmanova, Martina; Maslowski, Bohdan
  作者单位：Heriot Watt University; Czech Academy of Sciences; Institute of Mathematics of the Czech Academy of Sciences; Technical University of Berlin; Charles University Prague
  摘要：We study the long-time behavior of solutions to a stochastically driven Navier-Stokes system describing the motion of a compressible viscous fluid driven by a temporal multiplicative white noise perturbation. The existence of stationary solutions is established in the framework of Lebesgue-Sobolev spaces pertinent to the class of weak martingale solutions. The methods are based on new global-in-time estimates and a combination of deterministic and stochastic compactness arguments. An essential...
• Disorder and critical phenomena: the α=0 copolymer model AI翻译
  作者：Berger, Quentin; Giacomin, Giambattista; Lacoin, Hubert
  作者单位：Sorbonne Universite; Universite Paris Cite; Universite Paris Cite; Instituto Nacional de Matematica Pura e Aplicada (IMPA)
  摘要：The copolymer model is a disordered system built on a discrete renewal process with inter-arrival distribution that decays in a regularly varying fashion with exponent 1+alpha >= 1. It exhibits a localization transition which can be characterized in terms of the free energy of the model: the free energy is zero in the delocalized phase and it is positive in the localized phase. This transition, which is observed when tuning the mean h of the disorder variable, has been tackled in the physics l...
• Strong law of large numbers for the capacity of the Wiener sausage in dimension four AI翻译
  作者：Asselah, Amine; Schapira, Bruno; Sousi, Perla
  作者单位：Universite Paris-Est-Creteil-Val-de-Marne (UPEC); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Aix-Marseille Universite; University of Cambridge
  摘要：We prove a strong law of large numbers for the Newtonian capacity of a Wiener sausage in the critical dimension four, where a logarithmic correction appears in the scaling. The main step of the proof is to obtain precise asymptotics for the expected value of the capacity. This requires a delicate analysis of intersection probabilities between two independent Wiener sausages.
• Weak universality for a class of 3d stochastic reaction-diffusion models AI翻译
  作者：Furlan, M.; Gubinelli, M.
  作者单位：Universite PSL; Universite Paris-Dauphine; University of Bonn; University of Bonn
  摘要：We establish the large scale convergence of a class of stochastic weakly nonlinear reaction-diffusion models on a three dimensional periodic domain to the dynamic phi 34 model within the framework of paracontrolled distributions. Our work extends previous results of Hairer and Xu to nonlinearities with a finite amount of smoothness (in particular C9 is enough). We use the Malliavin calculus to perform a partial chaos expansion of the stochastic terms and control their Lp norms in terms of the ...