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- Zdzisław Brzeźniak

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
3,537
135
World Ranking
2624
National Ranking
179

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

Zdzisław Brzeźniak mostly deals with Mathematical analysis, Stochastic partial differential equation, Stochastic differential equation, Uniqueness and Pure mathematics. His biological study spans a wide range of topics, including Lyapunov function, Exponential stability and Probability theory. The study incorporates disciplines such as Non-dimensionalization and scaling of the Navier–Stokes equations, Hagen–Poiseuille flow from the Navier–Stokes equations, Applied mathematics and Sobolev space in addition to Stochastic partial differential equation.

The Stochastic differential equation study combines topics in areas such as Navier–Stokes equations, Numerical partial differential equations, Partial differential equation and Hilbert space. In his research, Invariant measure, Invariant, Dissipative system and Lipschitz continuity is intimately related to Martingale, which falls under the overarching field of Uniqueness. His Pure mathematics study integrates concerns from other disciplines, such as Itō's lemma, Class and Stochastic integration.

- On stochastic convolution in banach spaces and applications (219 citations)
- Stochastic partial differential equations in M-type 2 Banach spaces (151 citations)
- Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients (107 citations)

Mathematical analysis, Uniqueness, Applied mathematics, Stochastic partial differential equation and Navier–Stokes equations are his primary areas of study. His work on Stochastic differential equation, Wave equation and Space as part of general Mathematical analysis research is often related to Noise, thus linking different fields of science. The various areas that he examines in his Uniqueness study include Banach space, Pure mathematics, Mathematical physics, Type and Bounded function.

He combines subjects such as Multiplicative function, Nonlinear Schrödinger equation, Partial differential equation and Sobolev space with his study of Applied mathematics. His studies in Stochastic partial differential equation integrate themes in fields like Geometric analysis and Dissipative system. His studies deal with areas such as Reynolds-averaged Navier–Stokes equations and Random forcing as well as Navier–Stokes equations.

- Mathematical analysis (59.44%)
- Uniqueness (27.97%)
- Applied mathematics (20.98%)

- Uniqueness (27.97%)
- Applied mathematics (20.98%)
- Mathematical analysis (59.44%)

The scientist’s investigation covers issues in Uniqueness, Applied mathematics, Mathematical analysis, Martingale and Navier–Stokes equations. The concepts of his Uniqueness study are interwoven with issues in Stochastic partial differential equation, Initial value problem, Type and Pure mathematics. His Applied mathematics research is multidisciplinary, incorporating perspectives in Nonlinear Schrödinger equation, Nonlinear system and Partial differential equation.

His Mathematical analysis study frequently links to adjacent areas such as Energy. His Martingale research integrates issues from Bounded function, Boundary value problem and Mathematical physics. His study in Navier–Stokes equations is interdisciplinary in nature, drawing from both Space and Random forcing.

- Maximal Inequalities and Exponential Estimates for Stochastic Convolutions Driven by Lévy-type Processes in Banach Spaces with Application to Stochastic Quasi-Geostrophic Equations (16 citations)
- Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space (13 citations)
- Martingale solutions of nematic liquid crystals driven by pure jump noise in the Marcus canonical form (11 citations)

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

Uniqueness, Martingale, Applied mathematics, Pure mathematics and Canonical form are his primary areas of study. His Martingale research includes themes of Nonlinear Schrödinger equation and Bounded function. His Pure mathematics study combines topics in areas such as Space and Navier–Stokes equations.

His Canonical form research incorporates elements of Jump and Compact space. Zdzisław Brzeźniak merges Liquid crystal with Mathematical analysis in his study. Zdzisław Brzeźniak is involved in the study of Mathematical analysis that focuses on Itō's lemma in particular.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

On stochastic convolution in banach spaces and applications

Zdzisław Brzeźniak.

Stochastics An International Journal of Probability and Stochastic Processes **(1997)**

257 Citations

Stochastic partial differential equations in M-type 2 Banach spaces

Zdzisław Brzeźniak.

Potential Analysis **(1995)**

194 Citations

Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients

Sergio Albeverio;Zdzisław Brzeźniak;Jiang-Lun Wu.

Journal of Mathematical Analysis and Applications **(2010)**

137 Citations

Stochastic nonlinear beam equations

Zdzisław Brzeźniak;Bohdan Maslowski;Jan Seidler.

Probability Theory and Related Fields **(2005)**

120 Citations

Space-time continuous solutions to SPDE's driven by a homogeneous Wiener process

Zdzisław Brzeźniak;Szymon Peszat.

Studia Mathematica **(1999)**

114 Citations

Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation

Z. Brzeźniak;J.M.A.M. van Neerven;M.C. Veraar;L. Weis.

Journal of Differential Equations **(2008)**

111 Citations

Stochastic Navier-stokes equations with multiplicative noise

Z. Brzeźniak;M. Capiński;F. Flandoli.

Stochastic Analysis and Applications **(1992)**

110 Citations

Existence of a martingale solution of the stochastic Navier–Stokes equations in unbounded 2D and 3D domains

Zdzisław Brzeźniak;Elżbieta Motyl.

Journal of Differential Equations **(2013)**

102 Citations

STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND TURBULENCE

Z. Brzeźniak;M. Capiński;F. Flandoli.

Mathematical Models and Methods in Applied Sciences **(1991)**

102 Citations

Regularity of Ornstein–Uhlenbeck Processes Driven by a Lévy White Noise

Zdzisław Brzeźniak;Jerzy Zabczyk.

Potential Analysis **(2010)**

97 Citations

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