Singularities Of Solutions To Chemotaxis Systems
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Singularities Of Solutions To Chemotaxis Systems
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Author : Piotr Biler
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-12-02
Singularities Of Solutions To Chemotaxis Systems written by Piotr Biler and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-02 with Mathematics categories.
The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While the two-dimensional theory is by now quite complete, the questions of global-in-time solvability and blowup characterization are largely open in higher dimensions. In this book, global-in-time solutions are constructed under (nearly) optimal assumptions on initial data and rigorous blowup criteria are derived.
Singularities Of Solutions To Chemotaxis Systems
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Author : Piotr Biler
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-12-02
Singularities Of Solutions To Chemotaxis Systems written by Piotr Biler and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-02 with Mathematics categories.
The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While the two-dimensional theory is by now quite complete, the questions of global-in-time solvability and blowup characterization are largely open in higher dimensions. In this book, global-in-time solutions are constructed under (nearly) optimal assumptions on initial data and rigorous blowup criteria are derived.
Fitness Landscape Red Queen Evolutionary Enigmas And Applications To Virology
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Author : Igor M. Rouzine
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-09-18
Fitness Landscape Red Queen Evolutionary Enigmas And Applications To Virology written by Igor M. Rouzine and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-18 with Mathematics categories.
This two-volume work focuses on the mathematical aspects of Darwinian evolution starting from the basic model of stochastic evolution of a single isolated locus in the presence of mutation to the multi–locus models of sexual and asexual populations. Volume 2 discusses the inference of fi tness landscape from DNA sequence data, discovery of the evolutionary roles of enygmatic traits, co-evolution of adversarial species, and various applications to virus evolution.
One Locus And Multi Locus Theory And Recombination
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Author : Igor M. Rouzine
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-11-23
One Locus And Multi Locus Theory And Recombination written by Igor M. Rouzine and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-23 with Mathematics categories.
The book will benefit a reader with a background in physical sciences and applied mathematics interested in the mathematical models of genetic evolution. In the first chapter, we analyze several thought experiments based on a basic model of stochastic evolution of a single genomic site in the presence of the factors of random mutation, directional natural selection, and random genetic drift. In the second chapter, we present a more advanced theory for a large number of linked loci. In the third chapter, we include the effect of genetic recombination into account and find out the advantage of sexual reproduction for adaptation. These models are useful for the evolution of a broad range of asexual and sexual populations, including virus evolution in a host and a host population.
Cfd Simulation
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Author : Fateh Mebarek-Oudina
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-05-19
Cfd Simulation written by Fateh Mebarek-Oudina and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-19 with Mathematics categories.
Information about the author: Fateh Mebarek-Oudina received his PhD in 2010. He has published more than 120 papers in reputed international journals. Currently, he works as a full professor at Skikda University in Algeria and regularly serves as a reviewer for more than 250 international journals. He is ranked in the Top 2% Scientists Worldwide (2020, 2021, 2022, 2023) by Stanford University. His research work is focused on heat and mass transfer, MHD, mathematical simulation and modelling, biofluids, nanofluids, hybrid nanofluids, ternary nanofluids, microfluidics, and computational fluid dynamics. Information abiout the book: Mathematical modeling presented in the book is designed to help engineers understand physical systems, including magnetohydrodynamic effects on the non-Newtonian fluid flow and multiphase flow. Special attention will be given to heat transfer and entropy generation analysis on hybrid nanofluids. The process of entropy generation for nanofluid flows through porous channels will also be discussed and analyzed by means of a theoretical approach and CFD modeling. Some applications to blood-mediated gold-silver nanoparticles will be presented with detailed numerical examples. The book is designed to facilitate a more profound understanding for engineers of adopting CFD models to natural manufacturing environments. Overall, the primary objective of the book is to present mathematical modeling with CFD applications to simulate real-world engineering, industrial, and medical science problems to expose various analytical and numerical techniques and, at the same time, extend to expose researchers and academicians to the recent advancement in these diverse fields.
Chemotaxis Reaction Network Mathematics For Self Organization
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Author : Takashi Suzuki
language : en
Publisher: World Scientific
Release Date : 2018-07-27
Chemotaxis Reaction Network Mathematics For Self Organization written by Takashi Suzuki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-27 with Science categories.
This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo-dynamical systems. Its main features include:
Mean Field Theories And Dual Variation Mathematical Structures Of The Mesoscopic Model
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Author : Takashi Suzuki
language : en
Publisher: Springer
Release Date : 2015-11-19
Mean Field Theories And Dual Variation Mathematical Structures Of The Mesoscopic Model written by Takashi Suzuki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-19 with Mathematics categories.
Mean field approximation has been adopted to describe macroscopic phenomena from microscopic overviews. It is still in progress; fluid mechanics, gauge theory, plasma physics, quantum chemistry, mathematical oncology, non-equilibirum thermodynamics. spite of such a wide range of scientific areas that are concerned with the mean field theory, a unified study of its mathematical structure has not been discussed explicitly in the open literature. The benefit of this point of view on nonlinear problems should have significant impact on future research, as will be seen from the underlying features of self-assembly or bottom-up self-organization which is to be illustrated in a unified way. The aim of this book is to formulate the variational and hierarchical aspects of the equations that arise in the mean field theory from macroscopic profiles to microscopic principles, from dynamics to equilibrium, and from biological models to models that arise from chemistry and physics.
Semilinear Elliptic Equations
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Author : Takashi Suzuki
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-10-12
Semilinear Elliptic Equations written by Takashi Suzuki and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-12 with Mathematics categories.
This authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that is, methods to study the qualitative properties of solutions using variational techniques, the maximum principle, blowup analysis, spectral theory, topological methods, etc. The book is self-contained and is addressed to experienced and beginning researchers alike.
Singularities In Pde And The Calculus Of Variations
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Author : Stanley Alama
language : en
Publisher: American Mathematical Soc.
Release Date :
Singularities In Pde And The Calculus Of Variations written by Stanley Alama and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This book contains papers presented at the "Workshop on Singularities in PDE and the Calculus of Variations" at the CRM in July 2006. The main theme of the meeting was the formation of geometrical singularities in PDE problems with a variational formulation. These equations typically arise in some applications (to physics, engineering, or biology, for example) and their resolution often requires a combination of methods coming from areas such as functional and harmonic analysis, differential geometry and geometric measure theory. Among the PDE problems discussed were: the Cahn-Hilliard model of phase transitions and domain walls; vortices in Ginzburg-Landau type models for superconductivity and superfluidity; the Ohna-Kawasaki model for di-block copolymers; models of image enhancement; and Monge-Ampere functions. The articles give a sampling of problems and methods in this diverse area of mathematics, which touches a large part of modern mathematics and its applications.
Free Energy And Self Interacting Particles
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Author : Takashi Suzuki
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08
Free Energy And Self Interacting Particles written by Takashi Suzuki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-08 with Mathematics categories.
* Examines a nonlinear system of parabolic PDEs arising in mathematical biology and statistical mechanics * Describes the whole picture, i.e., the mathematical and physical principles * Suitable for researchers and grad students in mathematics and applied mathematics who are interested in nonlinear PDEs in stochastic processes, cellular automatons, variational methods, and their applications to physics, chemistry, biology, and engineering