03713nam a22003738i 4500001001600000003000700016008004100023020001800064020001800082035002000100041000800120082002000128245029200148264007100440300004000511336002600551337002600577338003600603490005900639500001300698505123900711520097201950650003702922650002902959650002402988700003203012700003003044700003003074700003703104856005503141932003203196596000603228949010503234CR9781316407103UkCbUP150309s2016||||enk o ||1 0|eng|d a9781316407103 a9781107554979 a(Sirsi) a791483 aeng00a530.15/535322300aRecent progress in the theory of the Euler and Navier-Stokes equationsh[E-Book] /cedited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China). 1aCambridge :bCambridge University Press,c2016e(CUP)fCUP20200108 a1 online resource (xiii, 232 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aLondon Mathematical Society lecture note series ;v430 aenglisch0 aClassical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview / H. Beirão da Veiga -- Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica -- On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone -- Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon -- Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane -- Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi -- Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset -- Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson -- On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López -- Some probabilistic topics in the Navier-Stokes equations / M. Romito. aThe rigorous mathematical theory of the Navier-Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier-Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier-Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers. 0aDifferential equations, Partial. 0aNavier-Stokes equations. 0aLagrange equations.1 aRobinson, James C.,eeditor1 aRodrigo, Jose L.,eeditor1 aSadowski, Witold,eeditor1 aVidal-López, Alejandro,eeditor40uhttps://doi.org/10.1017/CBO9781316407103zVolltext aCambridgeCore (Order 30059) a1 aXX(791483.1)wAUTOc1i791483-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE