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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 & Applied Analysis, 2007, 6 (3) : 607617. doi: 10.3934/cpaa.2007.6.607 
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Ying Hu, Shanjian Tang. Nonlinear backward stochastic evolutionary equations driven by a spacetime white noise. Mathematical Control & Related Fields, 2018, 8 (3&4) : 739751. doi: 10.3934/mcrf.2018032 
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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 
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Tianlong Shen, Jianhua Huang, Caibin Zeng. Time fractional and space nonlocal stochastic boussinesq equations driven by gaussian white noise. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 15231533. doi: 10.3934/dcdsb.2018056 
[7] 
Angelo Favini, Georgy A. Sviridyuk, Alyona A. Zamyshlyaeva. One Class of Sobolev Type Equations of Higher Order with Additive "White Noise". Communications on Pure & Applied Analysis, 2016, 15 (1) : 185196. doi: 10.3934/cpaa.2016.15.185 
[8] 
Boling Guo, Guoli Zhou. On the backward uniqueness of the stochastic primitive equations with additive noise. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 31573174. doi: 10.3934/dcdsb.2018305 
[9] 
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 & Continuous Dynamical Systems  B, 2013, 18 (7) : 18451872. doi: 10.3934/dcdsb.2013.18.1845 
[10] 
Zhaojuan Wang, Shengfan Zhou. Random attractor and random exponential attractor for stochastic nonautonomous damped cubic wave equation with linear multiplicative white noise. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 47674817. doi: 10.3934/dcds.2018210 
[11] 
Luis J. Roman, Marcus Sarkis. Stochastic Galerkin method for elliptic spdes: A white noise approach. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 941955. doi: 10.3934/dcdsb.2006.6.941 
[12] 
María J. GarridoAtienza, Bohdan Maslowski, Jana Šnupárková. Semilinear stochastic equations with bilinear fractional noise. Discrete & Continuous Dynamical Systems  B, 2016, 21 (9) : 30753094. doi: 10.3934/dcdsb.2016088 
[13] 
Xiaohu Wang, Dingshi Li, Jun Shen. WongZakai approximations and attractors for stochastic wave equations driven by additive noise. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020207 
[14] 
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 
[15] 
Xiaojun Li, Xiliang Li, Kening Lu. Random attractors for stochastic parabolic equations with additive noise in weighted spaces. Communications on Pure & Applied Analysis, 2018, 17 (3) : 729749. doi: 10.3934/cpaa.2018038 
[16] 
Xingni Tan, Fuqi Yin, Guihong Fan. Random exponential attractor for stochastic discrete long waveshort wave resonance equation with multiplicative white noise. Discrete & Continuous Dynamical Systems  B, 2020, 25 (8) : 31533170. doi: 10.3934/dcdsb.2020055 
[17] 
Tomasz Kosmala, Markus Riedle. Variational solutions of stochastic partial differential equations with cylindrical Lévy noise. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020209 
[18] 
Kexue Li, Jigen Peng, Junxiong Jia. Explosive solutions of parabolic stochastic partial differential equations with lévy noise. Discrete & Continuous Dynamical Systems  A, 2017, 37 (10) : 51055125. doi: 10.3934/dcds.2017221 
[19] 
Shengfan Zhou, Min Zhao. Fractal dimension of random attractor for stochastic nonautonomous damped wave equation with linear multiplicative white noise. Discrete & Continuous Dynamical Systems  A, 2016, 36 (5) : 28872914. doi: 10.3934/dcds.2016.36.2887 
[20] 
T. Tachim Medjo. The exponential behavior of the stochastic primitive equations in two dimensional space with multiplicative noise. Discrete & Continuous Dynamical Systems  B, 2010, 14 (1) : 177197. doi: 10.3934/dcdsb.2010.14.177 
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