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## Capiński, Marek

Compute Distance To:
 Author ID: capinski.marek Published as: Capiński, Marek; Capinski, Marek; Capiński, M.; Capinski, M.
 Documents Indexed: 50 Publications since 1977, including 10 Books Reviewing Activity: 61 Reviews
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#### Co-Authors

 8 single-authored 17 Cutland, Nigel J. 5 Brzeźniak, Zdzisław 5 Flandoli, Franco 5 Szafirski, Boleslaw 5 Zastawniak, Tomasz 4 Kopp, Ekkehard 2 Kopp, Peter Ekkehard 2 Peszat, Szymon 1 Gątarek, Dariusz 1 Parker, June M. 1 Traple, Janusz 1 Woźniak, Mariusz
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#### Serials

 5 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Prace Matematyczne 4 Springer Undergraduate Mathematics Series 3 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 2 Monatshefte für Mathematik 2 Stochastic Analysis and Applications 2 Probability Theory and Related Fields 2 Applied Mathematics Letters 2 The Annals of Applied Probability 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Computers & Mathematics with Applications 1 Nonlinearity 1 Stochastics 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Revista Colombiana de Matemáticas 1 Acta Applicandae Mathematicae 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Stochastics and Stochastics Reports 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Journal of Probability 1 Series on Advances in Mathematics for Applied Sciences 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Acta Mathematica 1 Problem Books in Mathematics
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#### Fields

 27 Partial differential equations (35-XX) 26 Probability theory and stochastic processes (60-XX) 14 Fluid mechanics (76-XX) 10 Measure and integration (28-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Real functions (26-XX) 3 Mathematical logic and foundations (03-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 291 times in 197 Documents Cited by Year
Stochastic equations in Hilbert space with application to Navier-Stokes equations in any dimension. Zbl 0817.60075
Capiński, Marek; Gątarek, Dariusz
1994
A convergence result for stochastic partial differential equations. Zbl 0653.60049
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1988
Stochastic partial differential equations and turbulence. Zbl 0741.60058
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1991
Stochastic Navier-Stokes equations with multiplicative noise. Zbl 0762.35083
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1992
Pathwise global attractors for stationary random dynamical systems. Zbl 0791.58056
Brzeźniak, Zdzisław; Capiński, Marek; Flandoli, Franco
1993
On the existence of a solution to stochastic Navier-Stokes equations. Zbl 0976.60063
Capiński, Marek; Peszat, Szymon
2001
Stochastic Navier-Stokes equations. Zbl 0746.60065
Capiński, Marek; Cutland, Nigel
1991
Nonstandard methods for stochastic fluid mechanics. Zbl 0824.76003
Capiński, Marek; Cutland, Nigel J.
1995
Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations. Zbl 0882.60055
Capiński, Marek; Peszat, Szymon
1997
Stochastic Euler equations on the torus. Zbl 0952.35164
Capiński, Marek; Cutland, Nigel J.
1999
A simple proof of existence of weak and statistical solutions of Navier- Stokes equations. Zbl 0746.35059
Capiński, Marek; Cutland, Nigel
1992
Existence of global stochastic flow and attractors for Navier-Stokes equations. Zbl 0938.35202
Capiński, Marek; Cutland, Nigel J.
1999
Navier-Stokes equations with multiplicative noise. Zbl 0765.76018
Capiński, Marek; Cutland, Nigel J.
1993
Mathematics for finance. An introduction to financial engineering. Zbl 1035.91002
Capiński, Marek; Zastawniak, Tomasz
2003
A note on uniqueness of stochastic Navier-Stokes equations. Zbl 0858.60057
Capiński, Marek
1993
Attractors for three-dimensional Navier-Stokes equations. Zbl 0990.35118
Capiński, Marek; Cutland, Nigel J.
1997
Measure, integral and probability. 2nd ed. Zbl 1103.28001
Capiński, Marek; Kopp, Peter Ekkehard
2004
Measure, integral and probability. Zbl 1068.28500
Capiński, Marek; Kopp, Peter Ekkehard
1999
Statistical solutions of PDEs by nonstandard densities. Zbl 0727.35147
Capiński, M.; Cutland, N. J.
1991
A statistical approach to the heat equation. Zbl 0421.35029
Capinski, M.
1979
Foias and Hopf statistical solutions for stochastic Navier-Stokes equations. Zbl 0855.35138
Capiński, Marek; Cutland, Nigel J.
1995
Statistical solutions of stochastic Navier-Stokes equations. Zbl 0819.35158
Capiński, Marek; Cutland, Nigel J.
1994
Mathematics for finance. An introduction to financial engineering. 2nd ed. Zbl 1207.91002
Capiński, Marek; Zastawniak, Tomasz
2011
Statistical solutions of Navier-Stokes equations by nonstandard densities. Zbl 0741.60059
Capiński, Marek; Cutland, Nigel
1991
Approximation for diffusion in random fields. Zbl 0709.60063
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1990
Measure attractors for stochastic Navier-Stokes equations. Zbl 0911.35126
Capiński, Marek; Cutland, Nigel J.
1998
A model of credit risk based on cash flow. Zbl 1235.91083
Capinski, Marek
2007
A simple example of intrinsic turbulence. Zbl 0780.76039
Capiński, Marek; Cutland, Nigel J.
1992
Hopf equation for diffusion in random velocity field. Zbl 0762.60051
Capiński, Marek; Szafirski, Bolesław
1990
The Euler equation: A uniform nonstandard construction of a global flow, invariant measures and statistical solutions. Zbl 0779.35084
Capiński, Marek; Cutland, Nigel J.
1993
Mathematics for finance. An introduction to financial engineering. 2nd ed. Zbl 1207.91002
Capiński, Marek; Zastawniak, Tomasz
2011
A model of credit risk based on cash flow. Zbl 1235.91083
Capinski, Marek
2007
Measure, integral and probability. 2nd ed. Zbl 1103.28001
Capiński, Marek; Kopp, Peter Ekkehard
2004
Mathematics for finance. An introduction to financial engineering. Zbl 1035.91002
Capiński, Marek; Zastawniak, Tomasz
2003
On the existence of a solution to stochastic Navier-Stokes equations. Zbl 0976.60063
Capiński, Marek; Peszat, Szymon
2001
Stochastic Euler equations on the torus. Zbl 0952.35164
Capiński, Marek; Cutland, Nigel J.
1999
Existence of global stochastic flow and attractors for Navier-Stokes equations. Zbl 0938.35202
Capiński, Marek; Cutland, Nigel J.
1999
Measure, integral and probability. Zbl 1068.28500
Capiński, Marek; Kopp, Peter Ekkehard
1999
Measure attractors for stochastic Navier-Stokes equations. Zbl 0911.35126
Capiński, Marek; Cutland, Nigel J.
1998
Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations. Zbl 0882.60055
Capiński, Marek; Peszat, Szymon
1997
Attractors for three-dimensional Navier-Stokes equations. Zbl 0990.35118
Capiński, Marek; Cutland, Nigel J.
1997
Nonstandard methods for stochastic fluid mechanics. Zbl 0824.76003
Capiński, Marek; Cutland, Nigel J.
1995
Foias and Hopf statistical solutions for stochastic Navier-Stokes equations. Zbl 0855.35138
Capiński, Marek; Cutland, Nigel J.
1995
Stochastic equations in Hilbert space with application to Navier-Stokes equations in any dimension. Zbl 0817.60075
Capiński, Marek; Gątarek, Dariusz
1994
Statistical solutions of stochastic Navier-Stokes equations. Zbl 0819.35158
Capiński, Marek; Cutland, Nigel J.
1994
Pathwise global attractors for stationary random dynamical systems. Zbl 0791.58056
Brzeźniak, Zdzisław; Capiński, Marek; Flandoli, Franco
1993
Navier-Stokes equations with multiplicative noise. Zbl 0765.76018
Capiński, Marek; Cutland, Nigel J.
1993
A note on uniqueness of stochastic Navier-Stokes equations. Zbl 0858.60057
Capiński, Marek
1993
The Euler equation: A uniform nonstandard construction of a global flow, invariant measures and statistical solutions. Zbl 0779.35084
Capiński, Marek; Cutland, Nigel J.
1993
Stochastic Navier-Stokes equations with multiplicative noise. Zbl 0762.35083
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1992
A simple proof of existence of weak and statistical solutions of Navier- Stokes equations. Zbl 0746.35059
Capiński, Marek; Cutland, Nigel
1992
A simple example of intrinsic turbulence. Zbl 0780.76039
Capiński, Marek; Cutland, Nigel J.
1992
Stochastic partial differential equations and turbulence. Zbl 0741.60058
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1991
Stochastic Navier-Stokes equations. Zbl 0746.60065
Capiński, Marek; Cutland, Nigel
1991
Statistical solutions of PDEs by nonstandard densities. Zbl 0727.35147
Capiński, M.; Cutland, N. J.
1991
Statistical solutions of Navier-Stokes equations by nonstandard densities. Zbl 0741.60059
Capiński, Marek; Cutland, Nigel
1991
Approximation for diffusion in random fields. Zbl 0709.60063
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1990
Hopf equation for diffusion in random velocity field. Zbl 0762.60051
Capiński, Marek; Szafirski, Bolesław
1990
A convergence result for stochastic partial differential equations. Zbl 0653.60049
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1988
A statistical approach to the heat equation. Zbl 0421.35029
Capinski, M.
1979
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#### Cited by 229 Authors

 18 Flandoli, Franco 17 Brzeźniak, Zdzisław 9 Capiński, Marek 9 Cutland, Nigel J. 7 Duan, Jinqiao 6 Wang, Bixiang 5 Breit, Dominic 5 Lu, Kening 4 Debussche, Arnaud 4 Liu, Xianming 4 Manna, Utpal 4 Razafimandimby, Paul André 4 Sritharan, Sivaguru S. 4 Yamazaki, Kazuo 3 Bottazzi, Emanuele 3 Chueshov, Igor’ Dmitrievich 3 Da Prato, Giuseppe 3 Feireisl, Eduard 3 Ferrario, Benedetta 3 Glatt-Holtz, Nathan E. 3 Goldys, Beniamin 3 Hairer, Martin 3 Hausenblas, Erika 3 Hofmanová, Martina 3 Mensah, Prince Romeo 3 Mohammed, Salah-Eldin A. 3 Nguyen Hai Dang 3 Nguyen Huu Du 3 Röckner, Michael 3 Sango, Mamadou 3 Taniguchi, Takeshi 3 Temam, Roger Meyer 3 Twardowska, Krystyna 3 Yang, Desheng 2 Albeverio, Sergio A. 2 Bessaih, Hakima 2 Blömker, Dirk 2 Bronzi, Anne C. 2 Caraballo Garrido, Tomás 2 Crauel, Hans 2 Dong, Leanne 2 Dong, Zhao 2 Du, Lihuai 2 Gao, Hongjun 2 Gątarek, Dariusz 2 Gu, Anhui 2 Gugg, Christoph 2 Karczewska, Anna 2 Langa, Jose’ Antonio 2 Le Gia, Quoc Thong 2 Liang, Fei 2 Lisei, Hannelore 2 Liu, Wei 2 Luo, Dejun 2 Millet, Annie 2 Mohan, Manil Thankamani 2 Motyl, Elżbieta 2 Mukherjee, Debopriya 2 Munteanu, Ionut 2 Peszat, Szymon 2 Rosa, Ricardo M. S. 2 Shen, Jun 2 Shu, Ji 2 Takemura, Akimichi 2 Tang, Hao 2 Wang, Dehua 2 Wang, Huaqiao 2 Zhai, Jianliang 2 Zhang, Ting 2 Zhang, Tusheng S. 2 Zhao, Huaizhong 2 Zhao, Junyilang 2 Zhu, Jiahui 1 Aktürk, Tahsin Deniz 1 Alonso-Orán, Diego 1 Ararat, Çağın 1 Atzberger, Paul J. 1 Aubin, Jean-Pierre 1 Auger, Pierre M. 1 Barbu, Viorel 1 Basson, Arnaud 1 Bellomo, Nicola 1 Bethencourt de León, Aythami 1 Bianchi, Luigi Amedeo 1 Cato, Susumu 1 Chandler-Wilde, Simon N. 1 Chen, Huabin 1 Chen, Jianwen 1 Chen, Robin Ming 1 Chen, Yucong 1 Chen, Zhimin 1 Cheng, Jiaqi 1 Chrysafis, Konstantinos A. 1 Chugreeva, Olga 1 Clouet, Jean-François 1 Crisan, Dan O. 1 Cui, Shangbin 1 Cyr, Justin 1 Daletskii, Alexei 1 Davies, Ian M. ...and 129 more Authors
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#### Cited in 74 Serials

 16 Journal of Differential Equations 13 Stochastic Processes and their Applications 11 Journal of Mathematical Analysis and Applications 11 Stochastic Analysis and Applications 9 Journal of Functional Analysis 6 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Mathematical Physics 5 The Annals of Probability 5 Applied Mathematics and Optimization 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 NoDEA. Nonlinear Differential Equations and Applications 5 Stochastics and Dynamics 4 Monatshefte für Mathematik 4 Probability Theory and Related Fields 4 Journal of Dynamics and Differential Equations 4 Journal of Nonlinear Science 4 Discrete and Continuous Dynamical Systems 3 Archive for Rational Mechanics and Analysis 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 3 Nonlinear Analysis. Real World Applications 3 Journal of Evolution Equations 3 Stochastics 2 Reviews in Mathematical Physics 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Statistics & Probability Letters 2 Physica D 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Scientific Computing 2 Mathematical Problems in Engineering 2 Journal of Mathematical Fluid Mechanics 2 Communications on Pure and Applied Analysis 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Franklin Institute 1 Lithuanian Mathematical Journal 1 Psychometrika 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Fuzzy Sets and Systems 1 Indiana University Mathematics Journal 1 Information Sciences 1 Journal of Mathematical Economics 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 The Annals of Applied Probability 1 Journal of Global Optimization 1 Communications in Partial Differential Equations 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Stochastics and Stochastics Reports 1 Indagationes Mathematicae. New Series 1 Potential Analysis 1 Computing and Visualization in Science 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Matematychni Studiï 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the European Mathematical Society (JEMS) 1 Milan Journal of Mathematics 1 Boundary Value Problems 1 Mathematical Modelling of Natural Phenomena
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#### Cited in 29 Fields

 137 Probability theory and stochastic processes (60-XX) 129 Partial differential equations (35-XX) 79 Fluid mechanics (76-XX) 33 Dynamical systems and ergodic theory (37-XX) 13 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Measure and integration (28-XX) 6 Functional analysis (46-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mathematical logic and foundations (03-XX) 5 Operator theory (47-XX) 5 Systems theory; control (93-XX) 4 Real functions (26-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)