Electronic ISBN:  9781470434717 
Product Code:  CONM/666.E 
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Book DetailsContemporary MathematicsVolume: 666; 2016; 404 ppMSC: Primary 35; 76; Secondary 65;
This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão 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 wideranging influence of Hugo Beirão 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: NavierStokes equations, Stokes systems, nonNewtonian 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.ReadershipGraduate students and research mathematicians interested in fluid dynamics, mathematical physics, and modern methods at the interplay between pure and applied nonlinear analysis.

Table of Contents

Articles

A. Sequeira, J.P. Dias, A. Valli, P. Secchi, L. Berselli and F. Crispo  Tributes to Hugo Beirão da Veiga

Hind Al Baba, Chérif Amrouche and Miguel Escobedo  Analyticity of the semigroup generated by the Stokes operator with Naviertype boundary conditions on $L^{p}$spaces

Paolo Antonelli and Pierangelo Marcati  Some results on systems for quantum fluids

Claude Bardos and Toan T. Nguyen  Remarks on the inviscid limit for the compressible flows

Vieri Benci and Lorenzo Luperi Baglini  A generalization of Gauss’ divergence theorem

Luigi C. Berselli and Stefano Spirito  Weak solutions to the NavierStokes equations constructed by semidiscretization are suitable

Dominic Breit  Existence theory for generalized Newtonian fluids

Giuseppe Buttazzo and Bozhidar Velichkov  The spectral drop problem

Dongho Chae  On the vanishing theorems for the discretely selfsimilar solutions to the Hall equations

Francesca Crispo and Paolo Maremonti  A high regularity result of solutions to a modified $p$NavierStokes system

Reinhard Farwig, Christian Simader, Hermann Sohr and Werner Varnhorn  General properties of the Helmholtz decomposition in spaces of $L^q$type

Eduard Feireisl and Yongzhong Sun  Conditional regularity of very weak solutions to the NavierStokesFourier system

Franco Flandoli  Possible effect of noise on stretching mechanism

Giovanni P. Galdi and Carlo R. Grisanti  On the plane steadystate flow of a shearthinning liquid past an obstacle in the singular case

Vladimir Georgiev and Anna Rita Giammetta  Sectorial Hamiltonians without zero resonance in one dimension

Z. Grujić  Vortex stretching and anisotropic diffusion in the 3D NavierStokes equations

P. Kaplický  On $L^q$ estimates of planar flows up to the boundary

Bernard Ducomet and Šárka Nečasová  Non equilibrium diffusion limit in a barotropic radiative flow

R. Rautmann  Decomposition of the homogeneous space $\hat {W}^{1,2}$ with respect to the Dirichlet form $\langle \nabla u, \nabla v \rangle $ and applications

Salvatore Rionero  Convection in ternary porous layers with depthdependent permeability and viscosity

Fernando Miranda and José Francisco Rodrigues  On a variational inequality for incompressible nonNewtonian thick flows

E. Molitor and M. Růžička  On inhomogeneous $\mathbf {p}$Navier–Stokes systems

Yoshihiro Shibata  On the global wellposedness of some free boundary problem for a compressible barotropic viscous fluid flow

V. A. Solonnikov  On a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid not subjected to capillary forces

Alexis F. Vasseur  Relative entropy and contraction for extremal shocks of conservation laws up to a shift


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This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão 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 wideranging influence of Hugo Beirão 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: NavierStokes equations, Stokes systems, nonNewtonian 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.
Graduate students and research mathematicians interested in fluid dynamics, mathematical physics, and modern methods at the interplay between pure and applied nonlinear analysis.

Articles

A. Sequeira, J.P. Dias, A. Valli, P. Secchi, L. Berselli and F. Crispo  Tributes to Hugo Beirão da Veiga

Hind Al Baba, Chérif Amrouche and Miguel Escobedo  Analyticity of the semigroup generated by the Stokes operator with Naviertype boundary conditions on $L^{p}$spaces

Paolo Antonelli and Pierangelo Marcati  Some results on systems for quantum fluids

Claude Bardos and Toan T. Nguyen  Remarks on the inviscid limit for the compressible flows

Vieri Benci and Lorenzo Luperi Baglini  A generalization of Gauss’ divergence theorem

Luigi C. Berselli and Stefano Spirito  Weak solutions to the NavierStokes equations constructed by semidiscretization are suitable

Dominic Breit  Existence theory for generalized Newtonian fluids

Giuseppe Buttazzo and Bozhidar Velichkov  The spectral drop problem

Dongho Chae  On the vanishing theorems for the discretely selfsimilar solutions to the Hall equations

Francesca Crispo and Paolo Maremonti  A high regularity result of solutions to a modified $p$NavierStokes system

Reinhard Farwig, Christian Simader, Hermann Sohr and Werner Varnhorn  General properties of the Helmholtz decomposition in spaces of $L^q$type

Eduard Feireisl and Yongzhong Sun  Conditional regularity of very weak solutions to the NavierStokesFourier system

Franco Flandoli  Possible effect of noise on stretching mechanism

Giovanni P. Galdi and Carlo R. Grisanti  On the plane steadystate flow of a shearthinning liquid past an obstacle in the singular case

Vladimir Georgiev and Anna Rita Giammetta  Sectorial Hamiltonians without zero resonance in one dimension

Z. Grujić  Vortex stretching and anisotropic diffusion in the 3D NavierStokes equations

P. Kaplický  On $L^q$ estimates of planar flows up to the boundary

Bernard Ducomet and Šárka Nečasová  Non equilibrium diffusion limit in a barotropic radiative flow

R. Rautmann  Decomposition of the homogeneous space $\hat {W}^{1,2}$ with respect to the Dirichlet form $\langle \nabla u, \nabla v \rangle $ and applications

Salvatore Rionero  Convection in ternary porous layers with depthdependent permeability and viscosity

Fernando Miranda and José Francisco Rodrigues  On a variational inequality for incompressible nonNewtonian thick flows

E. Molitor and M. Růžička  On inhomogeneous $\mathbf {p}$Navier–Stokes systems

Yoshihiro Shibata  On the global wellposedness of some free boundary problem for a compressible barotropic viscous fluid flow

V. A. Solonnikov  On a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid not subjected to capillary forces

Alexis F. Vasseur  Relative entropy and contraction for extremal shocks of conservation laws up to a shift