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Asymptotic Differential Algebra and Model Theory of Transseries

Asymptotic Differential Algebra and Model Theory of Transseries

Matthias Aschenbrenner, Lou van den Dries, and Joris van der Hoeven

Published in print:
2017
Published Online:
October 2017
ISBN:
9780691175423
eISBN:
9781400885411
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175423.001.0001
Subject:
Mathematics, Computational Mathematics / Optimization

Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a ... More

Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

Philip Isett

Published in print:
2017
Published Online:
October 2017
ISBN:
9780691174822
eISBN:
9781400885428
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174822.001.0001
Subject:
Mathematics, Computational Mathematics / Optimization

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 ... More

Matrix Completions, Moments, and Sums of Hermitian Squares

Matrix Completions, Moments, and Sums of Hermitian Squares

Mihály Bakonyi and Hugo J. Woerdeman

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691128894
eISBN:
9781400840595
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691128894.001.0001
Subject:
Mathematics, Computational Mathematics / Optimization

Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly ... More

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