Recent Developments of Mathematical Fluid Mechanics | ISBN 9783034809382

Recent Developments of Mathematical Fluid Mechanics

herausgegeben von Herbert Amann, Yoshikazu Giga, Hideo Kozono, Hisashi Okamoto und Masao Yamazaki
Mitwirkende
Herausgegeben vonHerbert Amann
Herausgegeben vonYoshikazu Giga
Herausgegeben vonHideo Kozono
Herausgegeben vonHisashi Okamoto
Herausgegeben vonMasao Yamazaki
Buchcover Recent Developments of Mathematical Fluid Mechanics  | EAN 9783034809382 | ISBN 3-0348-0938-7 | ISBN 978-3-0348-0938-2

Recent Developments of Mathematical Fluid Mechanics

herausgegeben von Herbert Amann, Yoshikazu Giga, Hideo Kozono, Hisashi Okamoto und Masao Yamazaki
Mitwirkende
Herausgegeben vonHerbert Amann
Herausgegeben vonYoshikazu Giga
Herausgegeben vonHideo Kozono
Herausgegeben vonHisashi Okamoto
Herausgegeben vonMasao Yamazaki

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.