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Book Synopsis Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations by : Henri Berestycki
Download or read book Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations written by Henri Berestycki and published by American Mathematical Society. This book was released on 2022-11-10 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation. The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait. The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems. Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.
Book Synopsis Introduction to Reaction-Diffusion Equations by : King-Yeung Lam
Download or read book Introduction to Reaction-Diffusion Equations written by King-Yeung Lam and published by Springer Nature. This book was released on 2022-12-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation. The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait. The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems. Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.
Book Synopsis Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity by : Nassif Ghoussoub
Download or read book Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity written by Nassif Ghoussoub and published by American Mathematical Society. This book was released on 2023-05-23 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters by : Giao Ky Duong
Download or read book Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters written by Giao Ky Duong and published by American Mathematical Society. This book was released on 2023-05-23 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation by : Mohandas Pillai
Download or read book Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation written by Mohandas Pillai and published by American Mathematical Society. This book was released on 2023-04-07 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Planar Algebras in Braided Tensor Categories by : André Gil Henriques
Download or read book Planar Algebras in Braided Tensor Categories written by André Gil Henriques and published by American Mathematical Society. This book was released on 2023-02-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations by : Philipp Grohs
Download or read book A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations written by Philipp Grohs and published by American Mathematical Society. This book was released on 2023-04-07 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability by : Kihyun Kim
Download or read book On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability written by Kihyun Kim and published by American Mathematical Society. This book was released on 2023-04-07 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?
Book Synopsis Representation Theory of Geigle-Lenzing Complete Intersections by : Martin Herschend
Download or read book Representation Theory of Geigle-Lenzing Complete Intersections written by Martin Herschend and published by American Mathematical Society. This book was released on 2023-05-23 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?
Book Synopsis Congruence Lattices of Ideals in Categories and (Partial) Semigroups by : James East
Download or read book Congruence Lattices of Ideals in Categories and (Partial) Semigroups written by James East and published by American Mathematical Society. This book was released on 2023-04-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.