Global Smooth Solutions For The Inviscid Sqg Equation
Download Global Smooth Solutions For The Inviscid Sqg Equation full books in PDF, epub, and Kindle. Read online free Global Smooth Solutions For The Inviscid Sqg Equation ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Global Smooth Solutions for the Inviscid SQG Equation
![Global Smooth Solutions for the Inviscid SQG Equation](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Angel Castro,Diego Córdoba Gazolaz,Javier Gomez-Serrano |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2020 |
Genre | : Differential equations, Nonlinear |
ISBN | : 1470462478 |
Download Global Smooth Solutions for the Inviscid SQG Equation Book in PDF, Epub and Kindle
"In this memoir, we 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
Author | : Angel Castro,Diego Cordoba,Javier Gomez-Serrano |
Publsiher | : American Mathematical Soc. |
Total Pages | : 89 |
Release | : 2020-09-28 |
Genre | : Mathematics |
ISBN | : 9781470442149 |
Download Global Smooth Solutions for the Inviscid SQG Equation Book in PDF, Epub and Kindle
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.
The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners
Author | : Paul Godin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 72 |
Release | : 2021-06-21 |
Genre | : Education |
ISBN | : 9781470444211 |
Download The 2D Compressible Euler Equations in Bounded Impermeable Domains with Corners Book in PDF, Epub and Kindle
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 small enough. Then we obtain local (in time) existence of solutions which keep the L2 Sobolev regularity of their Cauchy data, provided the external forces are sufficiently regular and suitable compatibility conditions are satisfied. Such a result is well known when there is no corner. Our proof relies on the study of associated linear problems. We also show that our results are rather sharp: we construct counterexamples in which the smallness condition on the angles is not fulfilled and which display a loss of L2 Sobolev regularity with respect to the Cauchy data and the external forces.
Local Well Posedness and Break Down Criterion of the Incompressible Euler Equations with Free Boundary
Author | : Chao Wang |
Publsiher | : American Mathematical Soc. |
Total Pages | : 119 |
Release | : 2021-07-21 |
Genre | : Education |
ISBN | : 9781470446895 |
Download Local Well Posedness and Break Down Criterion of the Incompressible Euler Equations with Free Boundary Book in PDF, Epub and Kindle
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 the velocity is a Lipschitz function and the free surface belongs to C 3 2 +ε. Moreover, we also present a Beale-Kato-Majda type break-down criterion of smooth solution in terms of the mean curvature of the free surface, the gradient of the velocity and Taylor sign condition.
Analysis of Hydrodynamic Models
Author | : Peter Constantin |
Publsiher | : SIAM |
Total Pages | : 62 |
Release | : 2017-04-25 |
Genre | : Mathematics |
ISBN | : 9781611974805 |
Download Analysis of Hydrodynamic Models Book in PDF, Epub and Kindle
Analysis of Hydrodynamic Models presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author?s approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions. This concise, unified approach brings readers up to date on current open problems. This book is intended for graduate students and junior researchers in mathematics. This book is intended for graduate students and junior researchers in mathematics.
Operator Theory on One Sided Quaternion Linear Spaces Intrinsic S Functional Calculus and Spectral Operators
Author | : Jonathan Gantner |
Publsiher | : American Mathematical Society |
Total Pages | : 114 |
Release | : 2021-02-10 |
Genre | : Mathematics |
ISBN | : 9781470442385 |
Download Operator Theory on One Sided Quaternion Linear Spaces Intrinsic S Functional Calculus and Spectral Operators Book in PDF, Epub and Kindle
Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory. The theory for quaternionic right linear operators is usually formulated under the assumption that there exists not only a right- but also a left-multiplication on the considered Banach space $V$. This has technical reasons, as the space of bounded operators on $V$ is otherwise not a quaternionic linear space. A right linear operator is however only associated with the right multiplication on the space and in certain settings, for instance on quaternionic Hilbert spaces, the left multiplication is not defined a priori, but must be chosen randomly. Spectral properties of an operator should hence be independent of the left multiplication on the space.
ojasiewicz Simon Gradient Inequalities for Coupled Yang Mills Energy Functionals
Author | : Paul M Feehan,Manousos Maridakis |
Publsiher | : American Mathematical Society |
Total Pages | : 138 |
Release | : 2021-02-10 |
Genre | : Mathematics |
ISBN | : 9781470443023 |
Download ojasiewicz Simon Gradient Inequalities for Coupled Yang Mills Energy Functionals Book in PDF, Epub and Kindle
The authors' primary goal in this monograph is to prove Łojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces that impose minimal regularity requirements on pairs of connections and sections.
Theory of Fundamental Bessel Functions of High Rank
Author | : Zhi Qi |
Publsiher | : American Mathematical Society |
Total Pages | : 123 |
Release | : 2021-02-10 |
Genre | : Mathematics |
ISBN | : 9781470443252 |
Download Theory of Fundamental Bessel Functions of High Rank Book in PDF, Epub and Kindle
In this article, the author studies fundamental Bessel functions for $mathrm{GL}_n(mathbb F)$ arising from the Voronoí summation formula for any rank $n$ and field $mathbb F = mathbb R$ or $mathbb C$, with focus on developing their analytic and asymptotic theory. The main implements and subjects of this study of fundamental Bessel functions are their formal integral representations and Bessel differential equations. The author proves the asymptotic formulae for fundamental Bessel functions and explicit connection formulae for the Bessel differential equations.