Asymptotic Spreading For General Heterogeneous Fisher Kpp Type Equations
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Asymptotic Spreading for General Heterogeneous Fisher KPP Type Equations
Author | : Henri Berestycki,Grégoire Nadin |
Publsiher | : American Mathematical Society |
Total Pages | : 282 |
Release | : 2022-11-10 |
Genre | : Mathematics |
ISBN | : 9781470454296 |
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Introduction to Reaction Diffusion Equations
Author | : King-Yeung Lam,Yuan Lou |
Publsiher | : Springer Nature |
Total Pages | : 316 |
Release | : 2022-12-01 |
Genre | : Mathematics |
ISBN | : 9783031204227 |
Download Introduction to Reaction Diffusion Equations Book in PDF, Epub and Kindle
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.
Multiplicity and Stability of the Pohozaev Obstruction for Hardy Schr dinger Equations with Boundary Singularity
Author | : Nassif Ghoussoub,Saikat Mazumdar,Frédéric Robert |
Publsiher | : American Mathematical Society |
Total Pages | : 138 |
Release | : 2023-05-23 |
Genre | : Mathematics |
ISBN | : 9781470461195 |
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Infinite Time Blow Up Solutions to the Energy Critical Wave Maps Equation
Author | : Mohandas Pillai |
Publsiher | : American Mathematical Society |
Total Pages | : 254 |
Release | : 2023-04-07 |
Genre | : Mathematics |
ISBN | : 9781470459932 |
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Construction of Blowup Solutions for the Complex Ginzburg Landau Equation with Critical Parameters
Author | : Giao Ky Duong,Nejla Nouaili,Hatem Zaag |
Publsiher | : American Mathematical Society |
Total Pages | : 104 |
Release | : 2023-05-23 |
Genre | : Mathematics |
ISBN | : 9781470461218 |
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Planar Algebras in Braided Tensor Categories
Author | : André Gil Henriques,David Penneys,James E. Tener |
Publsiher | : American Mathematical Society |
Total Pages | : 100 |
Release | : 2023-02-13 |
Genre | : Mathematics |
ISBN | : 9781470455408 |
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A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black Scholes Partial Differential Equations
Author | : Philipp Grohs,Fabian Hornung,Arnulf Jentzen,Philippe von Wurstemberger |
Publsiher | : American Mathematical Society |
Total Pages | : 106 |
Release | : 2023-04-07 |
Genre | : Mathematics |
ISBN | : 9781470456320 |
Download A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black Scholes Partial Differential Equations Book in PDF, Epub and Kindle
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On Pseudoconformal Blow Up Solutions to the Self Dual Chern Simons Schr dinger Equation Existence Uniqueness and Instability
Author | : Kihyun Kim,Soonsik Kwon |
Publsiher | : American Mathematical Society |
Total Pages | : 140 |
Release | : 2023-04-07 |
Genre | : Mathematics |
ISBN | : 9781470461201 |
Download On Pseudoconformal Blow Up Solutions to the Self Dual Chern Simons Schr dinger Equation Existence Uniqueness and Instability Book in PDF, Epub and Kindle
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