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Titlebook: Recent Developments of Mathematical Fluid Mechanics; Herbert Amann,Yoshikazu Giga,Masao Yamazaki Book 2016 Springer Basel 2016 Euler equat

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書目名稱Recent Developments of Mathematical Fluid Mechanics
編輯Herbert Amann,Yoshikazu Giga,Masao Yamazaki
視頻videohttp://file.papertrans.cn/824/823254/823254.mp4
概述Presents interesting results and open questions closely related to.the Millennium Seven Problems proposed by the Clay Mathematical Institute.Authors are experts of the Navier-Stokes and the Euler equa
叢書名稱Advances in Mathematical Fluid Mechanics
圖書封面Titlebook: Recent Developments of Mathematical Fluid Mechanics;  Herbert Amann,Yoshikazu Giga,Masao Yamazaki Book 2016 Springer Basel 2016 Euler equat
描述.The aim of this proceeding is addressed to present recent developments of the?mathematical research on the Navier-Stokes equations, the Euler equations and?other related equations. ?In particular, we are interested in such problems as:.1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics..
出版日期Book 2016
關(guān)鍵詞Euler equations; Navier‐Stokes equations; asymptotic behavior; global and local well‐posedness; singular
版次1
doihttps://doi.org/10.1007/978-3-0348-0939-9
isbn_ebook978-3-0348-0939-9Series ISSN 2297-0320 Series E-ISSN 2297-0339
issn_series 2297-0320
copyrightSpringer Basel 2016
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https://doi.org/10.1007/978-3-0348-0939-9Euler equations; Navier‐Stokes equations; asymptotic behavior; global and local well‐posedness; singular
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,Weighted ,, ? ,, Estimates of Stokes Semigroup in Half-Space and Its Application to the Navier-StokWe consider the Navier-Stokes equations in half-space and in .. space with Muckenhoupt weight and show the . estimates of Stokes semigroup with . type weight. Finally as the application of the weighted . estimates, we shall obtain the weighted asymptotic behavior of the solution to the Navier-Stokes equations.
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