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Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time: (AMS-196)
Philip Isett
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Description for Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time: (AMS-196)
Paperback. 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.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2017
Publisher
Princeton University Press
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
216
Place of Publication
New Jersey, United States
ISBN
9780691174839
SKU
V9780691174839
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Philip Isett
Philip Isett is assistant professor of mathematics at the University of Texas, Austin.
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