An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
Recent Advances in Partial Differential Equations and Applications

Edited by: Vicenţiu D. Rădulescu King Abdulaziz University, Jeddah, Saudi Arabia
Vsevolod A. Solonnikov Steklov Mathematical Institute, St. Petersburg, Russia
Available Formats:
Electronic ISBN: 978-1-4704-3471-7
Product Code: CONM/666.E
List Price: $108.00 MAA Member Price:$97.20
AMS Member Price: $86.40 Click above image for expanded view Recent Advances in Partial Differential Equations and Applications Edited by: Vicenţiu D. Rădulescu King Abdulaziz University, Jeddah, Saudi Arabia Adélia Sequeira Universidade de Lisboa, Lisboa, Portugal Vsevolod A. Solonnikov Steklov Mathematical Institute, St. Petersburg, Russia Available Formats:  Electronic ISBN: 978-1-4704-3471-7 Product Code: CONM/666.E  List Price:$108.00 MAA Member Price: $97.20 AMS Member Price:$86.40
• Book Details

Contemporary Mathematics
Volume: 6662016; 404 pp
MSC: 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 wide-ranging 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: 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.

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 semi-group generated by the Stokes operator with Navier-type 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 Navier-Stokes equations constructed by semi-discretization 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 self-similar solutions to the Hall equations
• Francesca Crispo and Paolo Maremonti - A high regularity result of solutions to a modified $p$-Navier-Stokes 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 Navier-Stokes-Fourier system
• Franco Flandoli - Possible effect of noise on stretching mechanism
• Giovanni P. Galdi and Carlo R. Grisanti - On the plane steady-state flow of a shear-thinning 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 Navier-Stokes 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 depth-dependent permeability and viscosity
• Fernando Miranda and José Francisco Rodrigues - On a variational inequality for incompressible non-Newtonian thick flows
• E. Molitor and M. Růžička - On inhomogeneous $\mathbf {p}$-Navier–Stokes systems
• Yoshihiro Shibata - On the global well-posedness 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

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 6662016; 404 pp
MSC: 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 wide-ranging 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: 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.

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 semi-group generated by the Stokes operator with Navier-type 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 Navier-Stokes equations constructed by semi-discretization 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 self-similar solutions to the Hall equations
• Francesca Crispo and Paolo Maremonti - A high regularity result of solutions to a modified $p$-Navier-Stokes 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 Navier-Stokes-Fourier system
• Franco Flandoli - Possible effect of noise on stretching mechanism
• Giovanni P. Galdi and Carlo R. Grisanti - On the plane steady-state flow of a shear-thinning 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 Navier-Stokes 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 depth-dependent permeability and viscosity
• Fernando Miranda and José Francisco Rodrigues - On a variational inequality for incompressible non-Newtonian thick flows
• E. Molitor and M. Růžička - On inhomogeneous $\mathbf {p}$-Navier–Stokes systems
• Yoshihiro Shibata - On the global well-posedness 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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.