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'This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic “basic” terms involved in the formulation of the dynamic Ö4  theory in three space dimensions, as well as selected contributions presented at the fourth meeting on Particle Systems and PDEs, which was held at the University of Minho’s Centre of Mathematics in December 2015. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, offering them a forum to present their recent results and discuss their topics of expertise. The meeting was also intended to present to a vast and varied public, including young researchers, the area of interacting particle systems, its underlying motivation, and its relation to partial differential equations.  The book will be of great interest to probabilists, analysts, and all mathematicians whose work focuses on topics in mathematical physics, stochastic processes and differential equations in general, as well as physicists working in statistical mechanics and kinetic theory.”.

Mathematics. --- Functional analysis. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Probabilities. --- Physics. --- Functional Analysis. --- Partial Differential Equations. --- Applications of Mathematics. --- Probability Theory and Stochastic Processes. --- Numerical and Computational Physics, Simulation. --- Mathematical Methods in Physics. --- Differential equations, Partial --- Differential equations, partial. --- Distribution (Probability theory. --- Mathematical physics. --- Physical mathematics --- Physics --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Math --- Science --- Partial differential equations --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Engineering --- Engineering analysis --- Mathematical analysis

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The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields. It addresses mathematical problems concerning applications in physics, engineering, chemistry and biology that were presented at the Third International Conference on Particle Systems and Partial Differential Equations, held at the University of Minho, Braga, Portugal in December 2014. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations. This book will appeal to probabilists, analysts and those mathematicians whose work involves topics in mathematical physics, stochastic processes and differential equations in general, as well as those physicists whose work centers on statistical mechanics and kinetic theory.

Functional analysis --- Partial differential equations --- Operational research. Game theory --- Probability theory --- Mathematics --- Mathematical physics --- Physics --- Applied physical engineering --- Computer science --- differentiaalvergelijkingen --- toegepaste wiskunde --- waarschijnlijkheidstheorie --- theoretische fysica --- stochastische analyse --- functies (wiskunde) --- economie --- wiskunde --- fysica --- kansrekening

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• Reference Manager
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'This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic “basic” terms involved in the formulation of the dynamic Ö4  theory in three space dimensions, as well as selected contributions presented at the fourth meeting on Particle Systems and PDEs, which was held at the University of Minho’s Centre of Mathematics in December 2015. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, offering them a forum to present their recent results and discuss their topics of expertise. The meeting was also intended to present to a vast and varied public, including young researchers, the area of interacting particle systems, its underlying motivation, and its relation to partial differential equations.  The book will be of great interest to probabilists, analysts, and all mathematicians whose work focuses on topics in mathematical physics, stochastic processes and differential equations in general, as well as physicists working in statistical mechanics and kinetic theory.”.

Functional analysis --- Partial differential equations --- Differential equations --- Operational research. Game theory --- Probability theory --- Mathematics --- Mathematical physics --- Physics --- Artificial intelligence. Robotics. Simulation. Graphics --- differentiaalvergelijkingen --- toegepaste wiskunde --- waarschijnlijkheidstheorie --- stochastische analyse --- functies (wiskunde) --- simulaties --- wiskunde --- KI (kunstmatige intelligentie) --- fysica --- kansrekening --- AI (artificiële intelligentie)

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This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations X, which was held at the University of Minho, Braga, Portugal, from 2022. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology.

Mathematical physics. --- Functional analysis. --- Differential equations. --- Probabilities. --- Mathematical Physics. --- Functional Analysis. --- Differential Equations. --- Probability Theory. --- Theoretical, Mathematical and Computational Physics.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields. It addresses mathematical problems concerning applications in physics, engineering, chemistry and biology that were presented at the Third International Conference on Particle Systems and Partial Differential Equations, held at the University of Minho, Braga, Portugal in December 2014. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations. This book will appeal to probabilists, analysts and those mathematicians whose work involves topics in mathematical physics, stochastic processes and differential equations in general, as well as those physicists whose work centers on statistical mechanics and kinetic theory.

Mathematics. --- Functional analysis. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Probabilities. --- Physics. --- Functional Analysis. --- Partial Differential Equations. --- Applications of Mathematics. --- Probability Theory and Stochastic Processes. --- Numerical and Computational Physics. --- Differential equations, Partial --- Kinetic theory of matter --- Mathematics --- Matter, Kinetic theory of --- Matter --- Molecular theory --- Statistical mechanics --- Differential equations, partial. --- Distribution (Probability theory. --- Numerical and Computational Physics, Simulation. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Math --- Science --- Partial differential equations --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Engineering --- Engineering analysis --- Mathematical analysis