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Global Smooth Solutions for the Inviscid SQG Equation
Language: en
Pages: 102
Authors: Angel Castro
Categories: Mathematics
Type: BOOK - Published: 2020-09-28 - Publisher: American Mathematical Soc.

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In this paper, the authors show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.
Global Smooth Solutions for the Inviscid SQG Equation
Language: en
Pages:
Authors: Angel Castro
Categories: Differential equations, Nonlinear
Type: BOOK - Published: 2020 - Publisher:

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"In this memoir, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation"--
The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners
Language: en
Pages: 72
Authors: Paul Godin
Categories: Education
Type: BOOK - Published: 2021-06-21 - Publisher: American Mathematical Soc.

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We study 2D compressible Euler flows in bounded impermeable domains whose boundary is smooth except for corners. We assume that the angles of the corners are s
Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
Language: en
Pages: 119
Authors: Chao Wang
Categories: Education
Type: BOOK - Published: 2021-07-21 - Publisher: American Mathematical Soc.

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In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which
Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic $S$-Functional Calculus and Spectral Operators
Language: en
Pages: 114
Authors: Jonathan Gantner
Categories: Mathematics
Type: BOOK - Published: 2021-02-10 - Publisher: American Mathematical Society

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Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between