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Random Perturbation of PDEs and Fluid Dynamic Models

2011-03-11 Mathematics
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Release : 2011-03-11
Genre : Mathematics
Kind : eBook
Book Rating : 305/5 ( reviews)

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Book Synopsis Random Perturbation of PDEs and Fluid Dynamic Models by : Franco Flandoli

Download or read book Random Perturbation of PDEs and Fluid Dynamic Models written by Franco Flandoli. This book was released on 2011-03-11. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and includes examples of abstract parabolic evolution equations.

Mathematical Paradigms of Climate Science

2016-11-07 Mathematics
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Release : 2016-11-07
Genre : Mathematics
Kind : eBook
Book Rating : 929/5 ( reviews)

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Book Synopsis Mathematical Paradigms of Climate Science by : Fabio Ancona

Download or read book Mathematical Paradigms of Climate Science written by Fabio Ancona. This book was released on 2016-11-07. Available in PDF, EPUB and Kindle. Book excerpt: This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation techniques for climate modeling is amply illustrated in this volume, which also identifies important future challenges.

Recent Progress in the Theory of the Euler and Navier-Stokes Equations

2016-01-21 Mathematics
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Release : 2016-01-21
Genre : Mathematics
Kind : eBook
Book Rating : 977/5 ( reviews)

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Book Synopsis Recent Progress in the Theory of the Euler and Navier-Stokes Equations by : James C. Robinson

Download or read book Recent Progress in the Theory of the Euler and Navier-Stokes Equations written by James C. Robinson. This book was released on 2016-01-21. Available in PDF, EPUB and Kindle. Book excerpt: An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

Stochastic Partial Differential Equations and Related Fields

2018-07-03 Mathematics
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Release : 2018-07-03
Genre : Mathematics
Kind : eBook
Book Rating : 293/5 ( reviews)

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Book Synopsis Stochastic Partial Differential Equations and Related Fields by : Andreas Eberle

Download or read book Stochastic Partial Differential Equations and Related Fields written by Andreas Eberle. This book was released on 2018-07-03. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference ''Stochastic Partial Differential Equations and Related Fields'' hosted by the Faculty of Mathematics at Bielefeld University, October 10–14, 2016. The conference, attended by more than 140 participants, including PostDocs and PhD students, was held both to honor Michael Röckner's contributions to the field on the occasion of his 60th birthday and to bring together leading scientists and young researchers to present the current state of the art and promising future developments. Each article introduces a well-described field related to Stochastic Partial Differential Equations and Stochastic Analysis in general. In particular, the longer surveys focus on Dirichlet forms and Potential theory, the analysis of Kolmogorov operators, Fokker–Planck equations in Hilbert spaces, the theory of variational solutions to stochastic partial differential equations, singular stochastic partial differential equations and their applications in mathematical physics, as well as on the theory of regularity structures and paracontrolled distributions. The numerous research surveys make the volume especially useful for graduate students and researchers who wish to start work in the above-mentioned areas, or who want to be informed about the current state of the art.

Quantum and Stochastic Mathematical Physics

2023-04-02 Mathematics
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Release : 2023-04-02
Genre : Mathematics
Kind : eBook
Book Rating : 311/5 ( reviews)

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Book Synopsis Quantum and Stochastic Mathematical Physics by : Astrid Hilbert

Download or read book Quantum and Stochastic Mathematical Physics written by Astrid Hilbert. This book was released on 2023-04-02. Available in PDF, EPUB and Kindle. Book excerpt: Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.

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