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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

Wiley Series in Corrosion

Corrosion of Nickel-Based Alloys

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

Radon Series on Computational and Applied Mathematics

Hilbert Space Methods for the Theory of Electromagnetism

Maxwell’s Equations

Science And Religion

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

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.

Dirac's Dream: The Quest For The Magnetic Monopole

Synthesis

Matter and Value in the Scientific Revolution

Gems and the New Science

Principles of Polymerization

How ideas from science can transform your life

The Art of Physics

From the author of the award-winning Visions of Linus Pauling comes this riveting sequel that chronicles four pivotal but under-studied aspects of Pauling's epic life: Drawing on years of archival investigation, hours of interviews and hundreds of source materials, Chris Petersen offers readers an extraordinarily unvarnished view of Linus Pauling as never before -- a young man, a bold division chair, and an intrepid explorer whose unorthodox ideas and fiery activism drew stormy interactions with friends and enemies alike.

Many Worlds Of Linus Pauling, The

Progress In Data Science

Ubiquitous Laplacian: An Introduction To Numerical Pdes With Applications In Data Science

Smart Thinking

A new smart-thinking series that applies complex mathematical ideas to everyday scenarios.

Mathematical answers to life’s key questions

Why Don’t Rabbits Rule The World?

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

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