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Lopez-gomez J: Ordinary Differential
Equations: Linear And Nonlinear Systems

Ordinary Differential Equations: Linear And Nonlinear Systems, Dynamical Systems And Applications

Annals of Mathematics Studies

New, broadly applicable, parameter-free techniques for constructing stable quasiperiodic solutions of quasilinear evolution equations This monograph addresses an important problem in mathematical fluid dynamics: constructing stable, long-term solutions to certain quasilinear evolution equations. The authors implement an ingenious scheme for building global quasiperiodic solutions without relying on external parameters, instead exploiting the natural structure of initial data to generate families of stable solutions. This approach offers a more robust framework for studying global solutions of quasilinear PDEs. The book combines techniques from KAM theory, a Nash-Moser iteration scheme, and pseudodifferential calculus, and provides tools that extend beyond the specific SQG context and may prove useful for other evolution equations. Specifically, the authors establish the existence of quasiperiodic patch solutions for the generalized Surface Quasi-Geostrophic (SQG) equation across the parameter range $\alpha \in (1,2)$, in a neighborhood of the disk solution. These solutions exist globally in time without developing singularities, which sheds light on an important question about the behavior of geophysical fluid models. This work provides new insights into global dynamics in a mathematically challenging regime where standard perturbative methods are insufficient. And the techniques developed here offer potential applications to other evolution equations in mathematical physics, making this a valuable resource for researchers in partial differential equations, fluid dynamics, and related fields.

Quasiperiodic Solutions of the Generalized SQG Equation

Synthetic Polymer Chemistry

Handbook of Optical Ceramics

Principles of Polymerization

Principles of Nutritional Immunology in Health and Disease

A completely revised edition of a comprehensive and popular introduction to the fast moving area of forensic genetics. The text begins with key concepts needed to fully appreciate the subject and moves on to examine the latest developments in the field. Illustrated in full colour throughout, this accessible textbook includes numerous references to relevant casework. With information on the full process of DNA evidence from collection at the scene of a crime to presentation in a legal context this book provides a complete overview of the field. Key Features: Greater inÂ-depth coverage of sequencing technology; updates and expansion of collection methods, characterization of body fluids using RNA, transfer of DNA; significant updates next generation sequencing, rapidly mutating STRs, whole mtDNA sequencing, X chromosome markers. New chapter on phenotype prediction and prediction of biological ancestry Self-assessment questions to aid student understanding throughout the text. Companion website

An Introduction to Forensic Genetics

Series on Concrete & Applicable Mathematics

New Operators And Their Applications In Geometric Function Theory

Green Protocols

Ionic Liquids in Biomass Processing

Dirac's Dream tells the story of the quest for the magnetic monopole, the long lost brother of the electron, in Maxwell's four famous equations. The existence of the magnetic monopole, first suggested by the curious asymmetry of Maxwell's equations from over 150 years ago, if confirmed would mark a revolutionary paradigm shift in our understanding of the universe, resounding across the entire field of physics, from electromagnetic theory to cosmology.

Ordinary Differential Equations: Linear And Nonlinear Systems, ...

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