 Previous Article
 DCDSS Home
 This Issue

Next Article
Stokes and Oseen flow with Coriolis force in the exterior domain
Analysis and discretization of semilinear stochastic wave equations with cubic nonlinearity and additive spacetime noise
1.  Southern Illinois University, Department of Mathematics, MC 4408, 1245 Lincoln Drive, Carbondale, IL 629017316 
[1] 
Henri Schurz. Stochastic heat equations with cubic nonlinearity and additive spacetime noise in 2D. Conference Publications, 2013, 2013 (special) : 673684. doi: 10.3934/proc.2013.2013.673 
[2] 
Yanzhao Cao, Li Yin. Spectral Galerkin method for stochastic wave equations driven by spacetime white noise. Communications on Pure and Applied Analysis, 2007, 6 (3) : 607617. doi: 10.3934/cpaa.2007.6.607 
[3] 
Ying Hu, Shanjian Tang. Nonlinear backward stochastic evolutionary equations driven by a spacetime white noise. Mathematical Control and Related Fields, 2018, 8 (3&4) : 739751. doi: 10.3934/mcrf.2018032 
[4] 
Henri Schurz. Stochastic wave equations with cubic nonlinearity and Qregular additive noise in $\mathbb{R}^2$. Conference Publications, 2011, 2011 (Special) : 12991308. doi: 10.3934/proc.2011.2011.1299 
[5] 
Boris P. Belinskiy, Peter Caithamer. Energy of an elastic mechanical system driven by Gaussian noise white in time. Conference Publications, 2001, 2001 (Special) : 3949. doi: 10.3934/proc.2001.2001.39 
[6] 
Tianlong Shen, Jianhua Huang, Caibin Zeng. Time fractional and space nonlocal stochastic boussinesq equations driven by gaussian white noise. Discrete and Continuous Dynamical Systems  B, 2018, 23 (4) : 15231533. doi: 10.3934/dcdsb.2018056 
[7] 
Guanggan Chen, Qin Li, Yunyun Wei. Approximate dynamics of a class of stochastic wave equations with white noise. Discrete and Continuous Dynamical Systems  B, 2022, 27 (1) : 73101. doi: 10.3934/dcdsb.2021033 
[8] 
Georgios T. Kossioris, Georgios E. Zouraris. Finite element approximations for a linear CahnHilliardCook equation driven by the space derivative of a spacetime white noise. Discrete and Continuous Dynamical Systems  B, 2013, 18 (7) : 18451872. doi: 10.3934/dcdsb.2013.18.1845 
[9] 
Xiang Lv. Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise. Discrete and Continuous Dynamical Systems  B, 2022, 27 (4) : 23132323. doi: 10.3934/dcdsb.2021133 
[10] 
Angelo Favini, Georgy A. Sviridyuk, Alyona A. Zamyshlyaeva. One Class of Sobolev Type Equations of Higher Order with Additive "White Noise". Communications on Pure and Applied Analysis, 2016, 15 (1) : 185196. doi: 10.3934/cpaa.2016.15.185 
[11] 
Boling Guo, Guoli Zhou. On the backward uniqueness of the stochastic primitive equations with additive noise. Discrete and Continuous Dynamical Systems  B, 2019, 24 (7) : 31573174. doi: 10.3934/dcdsb.2018305 
[12] 
Zhaojuan Wang, Shengfan Zhou. Random attractor and random exponential attractor for stochastic nonautonomous damped cubic wave equation with linear multiplicative white noise. Discrete and Continuous Dynamical Systems, 2018, 38 (9) : 47674817. doi: 10.3934/dcds.2018210 
[13] 
Luis J. Roman, Marcus Sarkis. Stochastic Galerkin method for elliptic spdes: A white noise approach. Discrete and Continuous Dynamical Systems  B, 2006, 6 (4) : 941955. doi: 10.3934/dcdsb.2006.6.941 
[14] 
María J. GarridoAtienza, Bohdan Maslowski, Jana Šnupárková. Semilinear stochastic equations with bilinear fractional noise. Discrete and Continuous Dynamical Systems  B, 2016, 21 (9) : 30753094. doi: 10.3934/dcdsb.2016088 
[15] 
Xiaohu Wang, Dingshi Li, Jun Shen. WongZakai approximations and attractors for stochastic wave equations driven by additive noise. Discrete and Continuous Dynamical Systems  B, 2021, 26 (5) : 28292855. doi: 10.3934/dcdsb.2020207 
[16] 
Boris P. Belinskiy, Peter Caithamer. Energy estimate for the wave equation driven by a fractional Gaussian noise. Conference Publications, 2007, 2007 (Special) : 92101. doi: 10.3934/proc.2007.2007.92 
[17] 
Ling Xu, Jianhua Huang, Qiaozhen Ma. Random exponential attractor for stochastic nonautonomous suspension bridge equation with additive white noise. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2021318 
[18] 
Xiaojun Li, Xiliang Li, Kening Lu. Random attractors for stochastic parabolic equations with additive noise in weighted spaces. Communications on Pure and Applied Analysis, 2018, 17 (3) : 729749. doi: 10.3934/cpaa.2018038 
[19] 
Xiaobin Yao. Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains. Discrete and Continuous Dynamical Systems  B, 2022, 27 (1) : 443468. doi: 10.3934/dcdsb.2021050 
[20] 
Xingni Tan, Fuqi Yin, Guihong Fan. Random exponential attractor for stochastic discrete long waveshort wave resonance equation with multiplicative white noise. Discrete and Continuous Dynamical Systems  B, 2020, 25 (8) : 31533170. doi: 10.3934/dcdsb.2020055 
2020 Impact Factor: 2.425
Tools
Metrics
Other articles
by authors
[Back to Top]