@article{754242,
      recid = {754242},
      author = {Amann, H. and Giga, Yoshikazu, and Kozono, Hideo, and  Okamoto, Hisashi, and Yamazaki, Masao,},
      title = {Recent developments of mathematical fluid mechanics  [electronic resource] /},
      pages = {1 online resource.},
      abstract = {The book addresses recent developments of the mathematical  research on the Navier-Stokes and Euler equations as well  as on related problems. In particular, there are covered:  1) existence, uniqueness, and the regularity of weak  solutions; 2) stability of the motion in rest and the  asymptotic behavior of solutions; 3) singularity and  blow-up of weak and strong solutions; 4) vorticity and  energy conservation; 5) motions of rotating fluids, or of  fluids surrounding a rotating body; 6) free boundary  problems; 7) maximal regularity theory and other abstract  results for mathematical fluid mechanics. For this quarter  century, these topics have been playing a central role in  both pure and applied mathematics and having a great  influence to the developm ent of the functional analysis,  harmonic analysis and numerical analysis whose tools make a  a substantial contribution to the investigation of  nonlinear partial differential equations, particularly the  Navier-Stokes and the Euler equations. There are 24  articles in this book in which the nonlinear PDE arising in  the fluid mechanics are mainly discussed. The authors  consist of speakers and participants of the "International  Conference on the Mathematical Fluid Dynamics" on the  occasion of Professor Yoshihiro Shibatas 60th birthday held  on March 5--9 in 2013 at old capital city Nara, Japan.},
      url = {http://library.usi.edu/record/754242},
      doi = {https://doi.org/10.1007/978-3-0348-0939-9},
}