Mathematical aspects of fluid mechanics / ed. by J.C.Robinson, J.L.Rodrigo, W.Sadowski. - Cambridge: Cambridge University Press, 2012. - xv, 258 p.: ill. - (London Mathematical Society lecture note series; 402). - Incl. bibl. ref. - ISBN 978-1-107-60925-9  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

Preface ........................................................ ix List of Contributors ........................................... xi 1 Towards fluid equations by approximate deconvolution models ....................................................... 1 L.C. Berselli 2 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph .......... 23 M. Bulíček, P. Gwiazda, J. Málek, K.R. Rajagopal, & A. Świerczewska-Gwiazda 3 A continuous model for turbulent energy cascade ............. 52 A. Cheskidov, R. Shvydkoy, & S. Friedlander 4 Remarks on complex fluid models ............................. 70 P. Constantin 5 A naive parametrization for the vortex-sheet problem ........ 88 A. Castro, D. Córdoba, & F. Gancedo 6 Sharp and almost-sharp fronts for the SQG equation ......... 116 C.L. Fefferman 7 Feedback stabilization for the Navier-Stokes equations: theory and calculations .................................... 130 A.V. Fursikov & A.A. Kornev 8 Interacting vortex pairs in inviscid and viscous planar flows ............................................... 173 T. Gallay 9 Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations ........ 201 J.D. Gibbon & D.D. Holm 10 Exploring symmetry plane conditions in numerical Euler solutions .................................................. 221 R.M. Kerr & M.D. Bustamante 11 On the decay of solutions of the Navier-Stokes system with potential forces ...................................... 235 J. Kukavica 12 Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data ............................. 251 G. Seregin