Special Issues
A special volume
An Expanded Volume of DCDS for the Wilmington Meeting,2002.
    Special Issues
A book of lasting value (a special issue of DCDS) consisting of invited contributions from the most well known scientists in the fields, to celebrate the 80th birthday of Mark Vishik.  About 500 pages and priced at $149, to be published in Fall 2003. 

Guest Editors: V. Chepyzhov, M. Efendiev, Alain Miranville, and Roger Temam

PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS

 

TABLE OF CONTENTS

J.M. Ball (Mathematical Institute, Oxford, England) : Global attractors for damped semilinear wave equations.

J.A. Dubinskii  (Moscow Power Engineering Institute, Russia) : Complex
Neuman type boundary problems and decomposition of Lebesgue Space.

A. Babin  (University of California, Irvine) : Preservation of spatial patterns by a hyperbolic equation. 

J.I. Diaz  (University Complutense Madrid, Spain) and J. Fleckinger-Pelle  (University Toulouse I, France) : Positivity for large time
of solutions of the heat equation : the parabolic antimaximum principle. 

I. Moise  (Texas Austin),   R. Rosa (University of Rio de Janero, Brazil) and  X. Wang  (Iowa State University) : Attractors for noncompact nonautonomous systems via energy equations. 

T. Ma  (Sichuan University, China) and S. Wang  (Indiana University): Boundary layer separation and structural bifurcation for 2-D incompressible flows.

-B. Paneah (Technion, Haifa, Israel) : On the overdeterminess of some functional equations. 

-Y. Lou (Ohio State University), W.-M. Ni (University of Minesota) and S. Yotsutani (Ryukoku University, Japan) : On a limiting system in the Lotka-Volterra competition with cross-diffusion. 

-C. Kenig (University of Chicago) and T. Toro: On the free boundary regularity theorem of Alt and Caffarelli. 

-P. Rabinowitz (University of Wisconsin-Madison): A new variational characterization of spatially heteroclinic solutions of a semilinear elliptic PDE. 

-J. Hubbard and Y. Illiashenko (Cornell University) : A proof of
Kolmogorov's theorem on the conservation of invariant tori. 

-A. Bahri (Rutgers University) : Recent results in contact form geometry. 

-J. Greer and A. Bertozzi (Duke university) : $H^1$ solutions of a class of fourth order nonlinear equations for image processing. 

-C. Coclici (University of Keiserslautern, Germany),  J. Heiermann (University of Stuttgart, Germany), G. Morosanu (Central European University, Hungary) and W. Wendland (University of Stuttgart, Germany) : Asymptotic analysis of a two-dimensional coupled problem for compressible viscous flows. 

-J. Wu (Oklahoma State University) : Regularity results for weak solutions of the 3D MHD equations. 

-V. Imaikin (University of Vienna, Austria), and A. Komech (Moscow State University, Russia) : Scattering theory for a particle coupled to a scalar field. 

-S. Friedlander and N. Pavlovic (University of Illinois at Chicago): Remarks concerning a modified Navier-Stokes equation. 

-E. Feireisl (Institute of Mathematics, Czech Republic), F. Issard- Roch (University of Paris Sud, France) and H Petzeltova (Institute of Mathematics, Czech Republic) : Long-time behaviour and convergence towards equilibria for a conserved phase field model.  

- A. Fursikov (Moscow State University, Russia) : Stabilization for the 3D Navier-Stokes system by feedback boundary control. 

-M. Grasselli, V. Pata and G. Prouse (Politecnico di Milano, Italy): Longtime behavior of a viscoelastic timoshenko beam. 

-D. Hilhorst (University of Paris Sud, France), L. Peletier, A. Rotariu (Leiden University, the Netherlands) and G. Sivashinsky (Tel-Aviv Uni- versity, Israel): Global attractor and inertial sets for a nonlocal Kuramoto-Sivashinsky equation. 

-P. Fabrie, C. Galusinsky (University of Bordeaux-I, France), A. Miranville and S. Zelik (University of Poitiers, France) : Uniform exponential attractors for a singularly perturbed damped wave equation. 

-P. Kloeden (Johann Wolfgang Goethe University, Germany) and V. Kozyakin (Russian Academy of Sciences, Russia) : Uniform nonautonomous attractors under discretization. 

-B. Birnir (University of California, Santa Barbara) and N. Svanstedt (Goteberg University, Sweden) : Existence theory andstrong attractors for the Rayleigh-Benard problem with a large aspect ratio. 

-A. Shirikyan (University of Paris Sud, France) and L. Volevivh (Russian Academy of Sciences, Russia) : Qualitative properties of solutions of linear and nonlinear hyperbolic PDEs. 

-G. Da Prato (Scuola Normale Superiore di Pisa, Italy): Transition semigroups corresponding to Lipschitz dissipative systems. 

-V. Chepyzhov and A. Ilyin (Russian Academy of Sciences, Russia): On the fractal dimension of invariant sets; applications to Navier- Stokes equations. 

-H. Gajewski (Weierstrass Institut Berlin, Germany) and I. Skrypnik (Ukraine) : To the uniqueness problem for nonlinear parabolic equations. 

-J. Bourgain (Institute for advance studies) : On quasi-periodic lattice Schroedinger operators.  

-M. Cabral  (University of Rio de Janero, Brazil), R. Temam (University of Paris Sud, France, and Indiana University) and R. Rosa (University of Rio de Janero, Brazil) : Existence and dimension of the attractor for the Benard problem on channel-like domains. 

-P. Constantin (University of Chicago) : Transport in rotating fluids. 

-C. Foias (Texas A\&M and Indiana University), M. Jolly (Indiana University) and O. Manley: Recurrence in the 2-D Navier-Stokes equations.