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ISBN 10: 0691174830 ISBN 13: 9780691174839
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ISBN 10: 0691174830 ISBN 13: 9780691174839
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Paperback. Condition: New. Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Holder. In this book, Philip Isett uses the method of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition behind the method, the ideas introduced now play a pivotal role in the ongoing study of weak solutions to fluid dynamics equations. The construction itself--an intricate algorithm with hidden symmetries--mixes together transport equations, algebra, the method of nonstationary phase, underdetermined partial differential equations (PDEs), and specially designed high-frequency waves built using nonlinear phase functions. The powerful "Main Lemma"--used here to construct nonzero solutions with compact support in time and to prove nonuniqueness of solutions to the initial value problem--has been extended to a broad range of applications that are surveyed in the appendix.Appropriate for students and researchers studying nonlinear PDEs, this book aims to be as robust as possible and pinpoints the main difficulties that presently stand in the way of a full solution to Onsager's conjecture.
Published by Princeton University Press, 2017
ISBN 10: 0691174830 ISBN 13: 9780691174839
Language: English
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Published by Princeton University Press, 2017
ISBN 10: 0691174830 ISBN 13: 9780691174839
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Condition: New. Series: Annals of Mathematics Studies. Num Pages: 216 pages. BIC Classification: PB; PHU; PN. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 10. Weight in Grams: 28. . 2017. Paperback. . . . . Books ship from the US and Ireland.
Published by Princeton University Press, US, 2017
ISBN 10: 0691174830 ISBN 13: 9780691174839
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Paperback. Condition: New. Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Holder. In this book, Philip Isett uses the method of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition behind the method, the ideas introduced now play a pivotal role in the ongoing study of weak solutions to fluid dynamics equations. The construction itself--an intricate algorithm with hidden symmetries--mixes together transport equations, algebra, the method of nonstationary phase, underdetermined partial differential equations (PDEs), and specially designed high-frequency waves built using nonlinear phase functions. The powerful "Main Lemma"--used here to construct nonzero solutions with compact support in time and to prove nonuniqueness of solutions to the initial value problem--has been extended to a broad range of applications that are surveyed in the appendix.Appropriate for students and researchers studying nonlinear PDEs, this book aims to be as robust as possible and pinpoints the main difficulties that presently stand in the way of a full solution to Onsager's conjecture.
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Add to basketKartoniert / Broschiert. Condition: New. Über den AutorPhilip Isett.
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Published by Princeton University Press, 2017
ISBN 10: 0691174822 ISBN 13: 9780691174822
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Add to basketTaschenbuch. Condition: Neu. Neuware - Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Hölder. In this book, Philip Isett uses the method of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition behind the method, the ideas introduced now play a pivotal role in the ongoing study of weak solutions to fluid dynamics equations.The construction itself-an intricate algorithm with hidden symmetries-mixes together transport equations, algebra, the method of nonstationary phase, underdetermined partial differential equations (PDEs), and specially designed high-frequency waves built using nonlinear phase functions. The powerful 'Main Lemma'-used here to construct nonzero solutions with compact support in time and to prove nonuniqueness of solutions to the initial value problem-has been extended to a broad range of applications that are surveyed in the appendix. Appropriate for students and researchers studying nonlinear PDEs, this book aims to be as robust as possible and pinpoints the main difficulties that presently stand in the way of a full solution to Onsager's conjecture.
Published by Princeton University Press, 2017
ISBN 10: 0691174822 ISBN 13: 9780691174822
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Published by Princeton University Press, 2017
ISBN 10: 0691174822 ISBN 13: 9780691174822
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Published by Princeton University Press, 2017
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Published by Princeton University Press, 2017
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Published by Princeton University Press, 2017
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Published by Princeton University Press, 2017
ISBN 10: 0691174822 ISBN 13: 9780691174822
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Condition: New. Series: Annals of Mathematics Studies. Num Pages: 216 pages. BIC Classification: PB; PHU; PN. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 18. Weight in Grams: 428. . 2017. Hardcover. . . . . Books ship from the US and Ireland.
Published by Princeton University Press Feb 2017, 2017
ISBN 10: 0691174822 ISBN 13: 9780691174822
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Add to basketBuch. Condition: Neu. Neuware - Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Hölder. In this book, Philip Isett uses the method of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition behind the method, the ideas introduced now play a pivotal role in the ongoing study of weak solutions to fluid dynamics equations.The construction itself-an intricate algorithm with hidden symmetries-mixes together transport equations, algebra, the method of nonstationary phase, underdetermined partial differential equations (PDEs), and specially designed high-frequency waves built using nonlinear phase functions. The powerful 'Main Lemma'-used here to construct nonzero solutions with compact support in time and to prove nonuniqueness of solutions to the initial value problem-has been extended to a broad range of applications that are surveyed in the appendix. Appropriate for students and researchers studying nonlinear PDEs, this book aims to be as robust as possible and pinpoints the main difficulties that presently stand in the way of a full solution to Onsager's conjecture.
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Add to basketHardcover. Condition: Brand New. 201 pages. 9.00x6.00x1.00 inches. In Stock.
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Add to basketHardcover. Condition: Brand New. 201 pages. 9.00x6.00x1.00 inches. In Stock. This item is printed on demand.