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Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik - Elia Brue - Bog - Princeton University Press - Plusbog.dk

Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik - Elia Brue - Bog - Princeton University Press - Plusbog.dk

An essential companion to M. Vishik’s groundbreaking work in fluid mechanicsThe incompressible Euler equations are a system of partial differential equations introduced by Leonhard Euler more than 250 years ago to describe the motion of an inviscid incompressible fluid. These equations can be derived from the classical conservations laws of mass and momentum under some very idealized assumptions. While they look simple compared to many other equations of mathematical physics, several fundamental mathematical questions about them are still unanswered. One is under which assumptions it can be rigorously proved that they determine the evolution of the fluid once we know its initial state and the forces acting on it. This book addresses a well-known case of this question in two space dimensions. Following the pioneering ideas of M. Vishik, the authors explain in detail the optimality of a celebrated theorem of V. Yudovich from the 1960s, which states that, in the vorticity formulation, the solution is unique if the initial vorticity and the acting force are bounded. In particular, the authors show that Yudovich’s theorem cannot be generalized to the L^p setting.

DKK 549.00
3

Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik - Bog af Camillo De Lellis - Hardback

Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik - Bog af Camillo De Lellis - Hardback

An essential companion to M. Vishik's groundbreaking work in fluid mechanics The incompressible Euler equations are a system of partial differential equations introduced by Leonhard Euler more than 250 years ago to describe the motion of an inviscid incompressible fluid. These equations can be derived from the classical conservations laws of mass and momentum under some very idealized assumptions. While they look simple compared to many other equations of mathematical physics, several fundamental..

DKK 1431.95
2

Laminar Flow Theory - P. A. Lagerstrom - Bog - Princeton University Press - Plusbog.dk

Laminar Flow Theory - P. A. Lagerstrom - Bog - Princeton University Press - Plusbog.dk

Fluid mechanics is one of the greatest accomplishments of classical physics. The Navier-Stokes equations, first derived in the eighteenth century, serve as an accurate mathematical model with which to describe the flow of a broad class of real fluids. Not only is the subject of interest to mathematicians and physicists, but it is also indispensable to mechanical, aeronautical, and chemical engineers, who have to apply the equations to real-world examples, such as the flow of air around an aircraft wing or the motion of liquid droplets in a suspension. In this book, which first appeared in a comprehensive collection of essays entitled The Theory of Laminar Flows (Princeton, 1964), P. A. Lagerstrom imparts the essential theoretical framework of laminar flows to the reader. A concise and elegant description, Lagerstrom''s work remains a model piece of writing and has much to offer today''s reader seeking an introduction to the flow of nonturbulent fluids. Beginning with the conservation laws that result in the equation of continuity, the Navier-Stokes equation, and the energy transport equation, Lagerstrom moves on to consider viscous waves, low Reynolds-number approximations such as Stokes flow and the Oseen equations, and then high Reynolds-number approximations that are used to describe boundary layers, jets, and wakes. Finally, he examines some compressibility effects, such as those that occur in the laminar boundary layer around a flat plate, both with and without a pressure gradient.

DKK 758.00
3

The Founding Fathers and the Politics of Character - Andrew S. Trees - Bog - Princeton University Press - Plusbog.dk

The Founding Fathers and the Politics of Character - Andrew S. Trees - Bog - Princeton University Press - Plusbog.dk

The American Revolution swept away old certainties and forced revolutionaries to consider what it meant to be American. Andrew Trees examines four attempts to answer the question of national identity that Americans faced in the wake of the Revolution. Through the writings of Thomas Jefferson, John Adams, Alexander Hamilton, and James Madison, Trees explores a complicated political world in which boundaries between the personal and the political were fluid and ill-defined. Melding history and literary study, he shows how this unsettled landscape challenged and sometimes confounded the founders'' attempts to forge their own--and the nation''s--identity. Trees traces the intimately linked shaping of self and country by four men distrustful of politics and yet operating in an increasingly democratic world. Jefferson sought to recast the political along the lines of friendship, while Hamilton hoped that honor would provide a secure foundation for self and country. Adams struggled to create a nation virtuous enough to sustain a republican government, and Madison worked to establish a government based on justice. Giving a new context to the founders'' mission, Trees studies their contributions not simply as policy prescriptions but in terms of a more elusive and symbolic level of action. His work illuminates the tangled relationship among rhetoric, politics, self, and nation--as well as the larger question of national identity that remains with us today.

DKK 333.00
3

Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology - Herbert F. Wang - Bog - Princeton University Press - Plusbog.dk

Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology - Herbert F. Wang - Bog - Princeton University Press - Plusbog.dk

The theory of linear poroelasticity describes the interaction between mechanical effects and adding or removing fluid from rock. It is critical to the study of such geological phenomena as earthquakes and landslides and is important for numerous engineering projects, including dams, groundwater withdrawal, and petroleum extraction. Now an advanced text synthesizes in one place, with one notation, numerous classical solutions and applications of this highly useful theory. The introductory chapter recounts parallel developments in geomechanics, hydrogeology, and reservoir engineering that are unified by the tenets of poroelasticity. Next, the theory''s constitutive and governing equations and their associated material parameters are described. These equations are then specialized for different simplifying geometries: unbounded problem domains, uniaxial strain, plane strain, radial symmetry, and axisymmetry. Example problems from geomechanics, hydrogeology, and petroleum engineering are incorporated throughout to illustrate poroelastic behavior and solution methods for a wide variety of real-world scenarios. The final chapter provides outlines for finite-element and boundary-element formulations of the field''s governing equations. Whether read as a course of study or consulted as a reference by researchers and professionals, this volume''s user-friendly presentation makes accessible one of geophysics'' most important subjects and will do much to reduce poroelasticity''s reputation as difficult to master.

DKK 926.00
3