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E-raamat: Recent Advances in Partial Differential Equations and Applications

  • Formaat: 404 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Jan-2014
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470434717
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  • Formaat: 404 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Jan-2014
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470434717

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This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirao da Veiga's 70th birthday, held from February 17-21, 2014, in Levico Terme, Italy.

The conference brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide-ranging influence of Hugo Beirao da Veiga on the field of partial differential equations, in particular those related to fluid dynamics.

In his own work, da Veiga has been a seminal influence in many important areas: Navier-Stokes equations, Stokes systems, non-Newtonian fluids, Euler equations, regularity of solutions, perturbation theory, vorticity phenomena, and nonlinear potential theory, as well as various degenerate or singular models in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.
Preface ix
Tributes to Hugo Beirao da Veiga
1(22)
Adelia Sequeira
Joao-Paulo Dias
Alberto Valli
Paolo Secchi
Luigi Berselli
Francesca Crispo
Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on Lp-spaces
23(18)
Hind Al Baba
Cherif Amrouche
Miguel Escobedo
Some results on systems for quantum fluids
41(14)
Paolo Antonelli
Pierangelo Marcati
Remarks on the inviscid limit for the compressible flows
55(14)
Claude Bardos
Toan T. Nguyen
A generalization of Gauss' divergence theorem
69(16)
Vieri Benci
Lorenzo Luperi Baglini
Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable
85(14)
Luigi C. Berselli
Stefano Spirito
Existence theory for generalized Newtonian fluids
99(12)
D. Breit
The spectral drop problem
111(26)
Giuseppe Buttazzo
Bozhidar Velichkov
On the vanishing theorems for the discretely self-similar solutions to the Hall equations
137(14)
Dongho Chae
A high regularity result of solutions to a modified p-Navier-Stokes system
151(12)
Francesca Crispo
Paolo Maremonti
General properties of the Helmholtz decomposition in spaces of Lq-type
163(16)
Reinhard Farwig
Christian Simader
Hermann Sohr
Werner Varnhorn
Conditional regularity of very weak solutions to the Navier-Stokes-Fourier system
179(22)
Eduard Feireisl
Yongzhong Sun
Possible effect of noise on stretching mechanism
201(10)
Franco Flandoli
On the plane steady-state flow of a shear-thinning liquid past an obstacle in the singular case
211(14)
Giovanni P. Galdi
Carlo R. Grisanti
Sectorial Hamiltonians without zero resonance in one dimension
225(14)
Vladimir Georgiev
Anna Rita Giammetta
Vortex stretching and anisotropic diffusion in the 3D Navier-Stokes equations
239(14)
Z. Grujic
On Lq estimates of planar flows up to the boundary
253(12)
P. Kaplicky
Non equilibrium diffusion limit in a barotropic radiative flow
265(14)
Bernard Ducomet
Sarka Necasova
Decomposition of the homogeneous space W1,2 with respect to the Dirichlet form (Vu, Vv) and applications
279(10)
R. Rautmann
Convection in ternary porous layers with depth-dependent permeability and viscosity
289(16)
Salvatore Rionero
On a variational inequality for incompressible non-Newtonian thick flows
305(12)
Fernando Miranda
Jose Francisco Rodrigues
On inhomogeneous p-Navier-Stokes systems
317(24)
E. Molitor
M. Ruzicka
On the global well-posedness of some free boundary problem for a compressible barotropic viscous fluid flow
341(16)
Yoshihiro Shibata
On a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid not subjected to capillary forces
357(28)
V. A. Solonnikov
Relative entropy and contraction for extremal shocks of conservation laws up to a shift
385
Alexis F. Vasseur
Vicentiu D. Radulescu, King Abdulaziz University, Jeddah, Saudi Arabia.

Adelia Sequeira, Universidade de Lisboa, Portugal.

Vsevolod A. Solonnikov, Steklov Mathematical Institute, St. Petersburg, Russia.