We establish a Freidlin-Wentzell’s large deviation principle for general stochastic evolution equations with Poisson jumps and small multiplicative noises by using weak convergence method.
In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise....In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise.Here,we adopt a new sufficient condition for the weak convergence criterion of the large deviation principle,which was initially proposed by Matoussi,Sabbagh and Zhang(2021).展开更多
We prove the large deviation principle for the law of the one-dimensional semi-linear stochastic partial differential equations driven by a nonlinear multiplicative noise.Firstly,combining the energy estimate and appr...We prove the large deviation principle for the law of the one-dimensional semi-linear stochastic partial differential equations driven by a nonlinear multiplicative noise.Firstly,combining the energy estimate and approximation procedure,we obtain the existence of the global solution.Secondly,the large deviation principle is obtained via the weak convergence method.展开更多
In this paper,we establish a moderate deviation principle for stochastic models of two-dimensional second-grade fluids driven by Lévy noise.We will adopt the weak convergence approach.Because of the appearance of...In this paper,we establish a moderate deviation principle for stochastic models of two-dimensional second-grade fluids driven by Lévy noise.We will adopt the weak convergence approach.Because of the appearance of jumps,this result is significantly different from that in Gaussian case.展开更多
文摘We establish a Freidlin-Wentzell’s large deviation principle for general stochastic evolution equations with Poisson jumps and small multiplicative noises by using weak convergence method.
基金partially supported by the National Natural Science Foundation of China(11871382,12071361)partially supported by the National Natural Science Foundation of China(11971361,11731012)。
文摘In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise.Here,we adopt a new sufficient condition for the weak convergence criterion of the large deviation principle,which was initially proposed by Matoussi,Sabbagh and Zhang(2021).
基金supported in part by the NSFC Grant No.12171084the fundamental Research Funds for the Central Universities No.2242022R10013.
文摘We prove the large deviation principle for the law of the one-dimensional semi-linear stochastic partial differential equations driven by a nonlinear multiplicative noise.Firstly,combining the energy estimate and approximation procedure,we obtain the existence of the global solution.Secondly,the large deviation principle is obtained via the weak convergence method.
基金supported by National Natural Science Foundation of China(NSFC)(No.11431014,No.11671372,No.11721101)the Fundamental Research Funds for the Central Universities(No.WK0010450002).
文摘In this paper,we establish a moderate deviation principle for stochastic models of two-dimensional second-grade fluids driven by Lévy noise.We will adopt the weak convergence approach.Because of the appearance of jumps,this result is significantly different from that in Gaussian case.
