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The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces. Chapters 1 and 2 cover the fundamentals of the Euler theory: derivation, Eulerian and Lagrangian perspectives, vorticity, special solutions, existence theory for smooth solutions, and blowup criteria. Chapters 3, 4, and 5 cover ...
Cynicism is strong in the newspaper business where I have worked for more than 30 years. But Carlos Alonso is a bright spot in my career. A respected missionary, he is committed to serving Jesus Christ in every aspect of his life. One of my articles was about Carlos taking the Gospel to his family in Cuba after 20 years in the United States. He led them all to the Lord, which is typical of the fruit God has born through his obedience. Boldness is a strong attribute in Carlos. He does not hold back when the Lord speaks to Him. As missionary and prophet he travels the world preaching Jesus, laying hands on the sick and setting captives free through the power of the Holy Spirit. In Adventures of a Foot Washer, he tells of many encounters with the power Jesus and the miracles he has witnessed. He shares his story with humility, yet with a confidence that comes from obedience to God. Take this journey with Carlos and see how the Holy Spirit can touch you as a believer. As a Christian for more than 35 years, I assure you that it will be a trip worth taking. Michelle Jones Journalist
This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. Within each section the author creates a narrative that answers the five questions: What is the scientific problem we are trying to understand? How do we model that with PDE? What techniques can we use to analyze the PDE? How do those techniques apply to this equation? What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods.
limpy is a gripping story about men of faith (limpy, Mishpat and Didasko) who are mortified to discover that, even in the church they love, the ways of the Bible have been corrupted exactly as foretold by Jesus 2,000 years before. They suffer as they realize that cherished practices are not only wrong, but cannot possibly meet the needs of God's children. This anguishing discovery compels them to actions they could not have imagined. Their answer to the plague of today's church-which makes limpy a must read book-is wonderfully enriched by the nobility of their lives as the tale unfolds. But there is more. Truth that is greater than life emerges from deep within the pathos of their struggle. A groan uttered by creation itself travails for the manifesting of the sons of God. There is an unquenchable thirsting, an insatiable hungering for His fullness; a groaning to be home with Him, forever. When you read limpy, you will know it is so; and you will be comforted. The book is both promise and warning. In the fullness of time, God will gather believing Jews and Gentiles to be a holy temple, a dwelling place for Himself in the Spirit.
A classic treatment of partial differential equations from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.
Tampa Bay Magazine is the area's lifestyle magazine. For over 25 years it has been featuring the places, people and pleasures of Tampa Bay Florida, that includes Tampa, Clearwater and St. Petersburg. You won't know Tampa Bay until you read Tampa Bay Magazine.
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