Shanghai has experienced the greatest land subsidence in China in the past sixty years and produced undesirable environmental impact. However, horizontal ground deformation has not been understood yet. Therefore groun...Shanghai has experienced the greatest land subsidence in China in the past sixty years and produced undesirable environmental impact. However, horizontal ground deformation has not been understood yet. Therefore ground deformation monitoring together with the analysis of its driving forces are critical for geo-hazards early-warning, city planning and sustainable urbanization in Shanghai. In this paper, two-dimensional ground deformation monitoring was performed in Shanghai with SBAS and MSBAS InSAR methods. Twenty-nine Multi-Look Fine 6 (MF6) Radarsat-2 SLC data acquired during 2011-2013 were used to derive vertical ground deformation. Meanwhile, six descending Multi-Look Fine 6 (MF6) and four ascending Multi-Look Fine 2 (MF2) spanning April to August, 2008, were used to derive vertical and horizontal ground deformation during the observation period. The results indicate that vertical and horizontal deformations in 2008 were not homogeneously distributed in different districts ranging from 0-2 cm/year. Vertical deformation rate during 2011-2013 were decreased to less than 1 cm/year in most district of Shanghai area. Activities from groundwater exploitation and rapid urbanization are responsible for most of the ground deformation in Shanghai. Thus, future ground deformation in vertical and horizontal directions should be warranted.展开更多
In this paper, we study the hybrid Schrodinger equation involving normal and fractional Laplace operator, and obtain the existence of the solutions to this class of the hybrid partial differential equation. Our main a...In this paper, we study the hybrid Schrodinger equation involving normal and fractional Laplace operator, and obtain the existence of the solutions to this class of the hybrid partial differential equation. Our main argument is variational methods.展开更多
In this paper, using the contracting mapping principle and the monotone iterative method, we consider the existence of solution to the initial value problem of fractional functional differential equations with Riemann...In this paper, using the contracting mapping principle and the monotone iterative method, we consider the existence of solution to the initial value problem of fractional functional differential equations with Riemann-Liouville derivative.展开更多
In this paper, we prove the existence of pth moment almost periodic mild solutions in fractional power space to a class of stochastic fractional partial equations using the techniques of contraction fixed point princi...In this paper, we prove the existence of pth moment almost periodic mild solutions in fractional power space to a class of stochastic fractional partial equations using the techniques of contraction fixed point principle, Schauder fixed point theorem and semigroup theorem.展开更多
基金supported by the China Science National Foundation (No. 41372353)
文摘Shanghai has experienced the greatest land subsidence in China in the past sixty years and produced undesirable environmental impact. However, horizontal ground deformation has not been understood yet. Therefore ground deformation monitoring together with the analysis of its driving forces are critical for geo-hazards early-warning, city planning and sustainable urbanization in Shanghai. In this paper, two-dimensional ground deformation monitoring was performed in Shanghai with SBAS and MSBAS InSAR methods. Twenty-nine Multi-Look Fine 6 (MF6) Radarsat-2 SLC data acquired during 2011-2013 were used to derive vertical ground deformation. Meanwhile, six descending Multi-Look Fine 6 (MF6) and four ascending Multi-Look Fine 2 (MF2) spanning April to August, 2008, were used to derive vertical and horizontal ground deformation during the observation period. The results indicate that vertical and horizontal deformations in 2008 were not homogeneously distributed in different districts ranging from 0-2 cm/year. Vertical deformation rate during 2011-2013 were decreased to less than 1 cm/year in most district of Shanghai area. Activities from groundwater exploitation and rapid urbanization are responsible for most of the ground deformation in Shanghai. Thus, future ground deformation in vertical and horizontal directions should be warranted.
基金supported by the NNSF of China(61563033,11563005)the NSF of Jiangxi Province(20151BAB212011,20151BAB201021)
文摘In this paper, we study the hybrid Schrodinger equation involving normal and fractional Laplace operator, and obtain the existence of the solutions to this class of the hybrid partial differential equation. Our main argument is variational methods.
基金supported by the NNSF of China(Nos.11301260,61304161 and 11201216)the NSF of Jiangxi Province(Nos.20132BAB211003 and 20132BAB211037)the YFED of Jiangxi Province(No.GJJ13078)
文摘In this paper, using the contracting mapping principle and the monotone iterative method, we consider the existence of solution to the initial value problem of fractional functional differential equations with Riemann-Liouville derivative.
基金partially supported by NSF of Jiangxi Province(Nos.20151BAB212011 and20151BAB201021)NNSF of China(No.11461044)
文摘In this paper, we prove the existence of pth moment almost periodic mild solutions in fractional power space to a class of stochastic fractional partial equations using the techniques of contraction fixed point principle, Schauder fixed point theorem and semigroup theorem.