Idioma: Inglés
Publicado por Princeton University Press, 2023
ISBN 10: 0691249547 ISBN 13: 9780691249544
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Idioma: Inglés
Publicado por Princeton University Press, 2023
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Idioma: Inglés
Publicado por Princeton University Press, US, 2023
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Añadir al carritoPaperback. Condición: New. A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L^2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates.
Idioma: Inglés
Publicado por Princeton University Press, 2023
ISBN 10: 0691249555 ISBN 13: 9780691249551
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Publicado por Princeton University Press, 2023
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Idioma: Inglés
Publicado por Princeton University Press, 2023
ISBN 10: 0691249547 ISBN 13: 9780691249544
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Idioma: Inglés
Publicado por Princeton University Press, 2023
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Idioma: Inglés
Publicado por Princeton University Press, 2023
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Idioma: Inglés
Publicado por Amer Mathematical Society, 2022
ISBN 10: 1470472252 ISBN 13: 9781470472252
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Añadir al carritoPaperback. Condición: Brand New. 133 pages. 10.00x7.01x0.35 inches. In Stock.
Idioma: Inglés
Publicado por American Mathematical Society, US, 2022
ISBN 10: 1470472252 ISBN 13: 9781470472252
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Añadir al carritoPaperback. Condición: New. This is the second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible Navier-Stokes equations at high Reynolds number Re. In this work, we show that there is constant 0 0 exist at least until t = c0???1 and in general evolve to be O(c0) due to the lift-up e?ect. Further, after times t Re1/3, the streamwise dependence of the solution is rapidly diminished by a mixing-enhanced dissipation e?ect and the solution is attracted back to the class of "2.5 dimensional" streamwise-independent solutions (sometimes referred to as "streaks"). The largest of these streaks are expected to eventually undergo a secondary instability at t ? ???1. Hence, our work strongly suggests, for all (sufficiently regular) initial data, the genericity of the "lift-up e?ect streak growth streak breakdown" scenario for turbulent transition of the 3D Couette flow near the threshold of stability forwarded in the applied mathematics and physics literature.
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Idioma: Inglés
Publicado por American Mathematical Society, 2025
ISBN 10: 1470475065 ISBN 13: 9781470475062
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Idioma: Inglés
Publicado por American Mathematical Society, Providence, Rhode Island, 2020
ISBN 10: 1470442175 ISBN 13: 9781470442170
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Añadir al carritoOriginal Wrappers. Condición: New. First Edition. Light shelfwear. ; Octavo; 158 pages.
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Idioma: Inglés
Publicado por American Mathematical Society, 2025
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Idioma: Inglés
Publicado por Princeton University Press, US, 2023
ISBN 10: 0691249547 ISBN 13: 9780691249544
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Añadir al carritoPaperback. Condición: New. A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L^2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates.
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Añadir al carritoPaperback. Condición: Brand New. 256 pages. 9.25x6.12x0.70 inches. In Stock.
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Idioma: Inglés
Publicado por Princeton University Press, 2023
ISBN 10: 0691249547 ISBN 13: 9780691249544
Librería: moluna, Greven, Alemania
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Añadir al carritoCondición: New. Über den AutorTristan Buckmaster is professor of mathematics at the University of Maryland. Nader Masmoudi is professor of mathematics at New York University. Matthew Novack is assistant professor of mathematics.
Idioma: Inglés
Publicado por Princeton University Press, 2023
ISBN 10: 0691249555 ISBN 13: 9780691249551
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Idioma: Inglés
Publicado por Princeton University Press, US, 2023
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Añadir al carritoHardback. Condición: New. A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L^2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates.
Idioma: Inglés
Publicado por American Mathematical Society, US, 2022
ISBN 10: 1470472252 ISBN 13: 9781470472252
Librería: Rarewaves.com UK, London, Reino Unido
EUR 88,79
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Añadir al carritoPaperback. Condición: New. This is the second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible Navier-Stokes equations at high Reynolds number Re. In this work, we show that there is constant 0 0 exist at least until t = c0???1 and in general evolve to be O(c0) due to the lift-up e?ect. Further, after times t Re1/3, the streamwise dependence of the solution is rapidly diminished by a mixing-enhanced dissipation e?ect and the solution is attracted back to the class of "2.5 dimensional" streamwise-independent solutions (sometimes referred to as "streaks"). The largest of these streaks are expected to eventually undergo a secondary instability at t ? ???1. Hence, our work strongly suggests, for all (sufficiently regular) initial data, the genericity of the "lift-up e?ect streak growth streak breakdown" scenario for turbulent transition of the 3D Couette flow near the threshold of stability forwarded in the applied mathematics and physics literature.
Idioma: Inglés
Publicado por Princeton University Press, 2023
ISBN 10: 0691249555 ISBN 13: 9780691249551
Librería: Studibuch, Stuttgart, Alemania
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Añadir al carritohardcover. Condición: Sehr gut. 246 Seiten; 9780691249551.2 Gewicht in Gramm: 1.
Idioma: Inglés
Publicado por Princeton University Press, 2023
ISBN 10: 0691249555 ISBN 13: 9780691249551
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
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Idioma: Inglés
Publicado por Princeton University Press, 2023
ISBN 10: 0691249555 ISBN 13: 9780691249551
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
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Añadir al carritoCondición: As New. Unread book in perfect condition.
Idioma: Inglés
Publicado por Princeton University Press, US, 2023
ISBN 10: 0691249555 ISBN 13: 9780691249551
Librería: Rarewaves USA United, OSWEGO, IL, Estados Unidos de America
EUR 159,13
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Añadir al carritoHardback. Condición: New. A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L^2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates.