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Trends in Partial Differential Equations of Mathematical Physics

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Gebonden, 282 blz. | Engels
Birkhäuser Basel | 2005e druk, 2005
ISBN13: 9783764371654
Rubricering
Birkhäuser Basel 2005e druk, 2005 9783764371654
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

Vsevolod Alekseevich Solonnikov is known as one of the outstanding mathema- ciansfromtheSt.PetersburgMathematicalSchool.Hisremarkableresultsonexact estimates of solutions to boundary and initial-boundary value problems for linear elliptic, parabolic, and Stokes systems, his methods and contributions to the - vestigation of free boundary problems, in particular in ?uid mechanics, are well known to specialists all over the world. The International Conference on “Trends in Partial Di?erential Equations of th ´ Mathematical Physics” was held on the occasion of his 70 birthday in Obidos (Portugal), from June 7 to 10, 2003. It was an organization of the “Centro de Matem´ atica e Aplica¸ c˜ oes Fundamentais da Universidade Lisboa”, in collaboration with the “Centro de Matem´ atica da Universidade de Coimbra”, the “Centro de Matem´ atica Aplicada do IST/Universidade T´ ecnica de Lisboa”, the “Centro de Matem´ atica da Universidade da Beira Interior”,from Portugal,and with the L- oratory of Mathematical Physics of the St.Petersburg Department of the Steklov Institute of Mathematics from Russia. The conference consisted of thirty eight invited and contributed lectures and ´ gathered,inthecharminganduniquemedievaltownofObidos,aboutsixtypart- ipants from ?fteen countries, namely USA, Switzerland, Spain, Russia, Portugal, Poland, Lithuania, Korea, Japan, Italy, Germany, France, Canada, Australia and Argentina.Severalcolleaguesgaveusahelpinghandintheorganizationofthec- ference. We are thankful to all of them, and in particular to Stanislav Antontsev, Anvarbek Meirmanov and Ad´ elia Sequeira, that integrated also the Organizing Committee. A special acknowledgement is due to Elena Frolova that helped us in compiling the short and necessarily incomplete bio-bibliographical notes below.

Specificaties

ISBN13:9783764371654
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:282
Uitgever:Birkhäuser Basel
Druk:2005

Inhoudsopgave

Stopping a Viscous Fluid by a Feedback Dissipative Field: Thermal Effects without Phase Changing.- Ultracontractive Bounds for Nonlinear Evolution Equations Governed by the Subcritical p-Laplacian.- Weighted L 2-spaces and Strong Solutions of the Navier-Stokes Equations in .- A Limit Model for Unidirectional Non-Newtonian Flows with Nonlocal Viscosity.- On the Problem of Thermocapillary Convection for Two Incompressible Fluids Separated by a Closed Interface.- Some Mathematical Problems in Visual Transduction.- Global Regularity in Sobolev Spaces for Elliptic Problems with p-structure on Bounded Domains.- Temperature Driven Mass Transport in Concentrated Saturated Solutions.- Solvability of a Free Boundary Problem for the Navier-Stokes Equations Describing the Motion of Viscous Incompressible Nonhomogeneous Fluid.- Duality Principles for Fully Nonlinear Elliptic Equations.- On the Bénard Problem.- Exact Boundary Controllability for Quasilinear Wave Equations.- Regularity of Euler Equations for a Class of Three-Dimensional Initial Data.- A Model of a Two-dimensional Pump.- Regularity of a Weak Solution to the Navier-Stokes Equation in Dependence on Eigenvalues and Eigenvectors of the Rate of Deformation Tensor.- Free Work and Control of Equilibrium Configurations.- Stochastic Geometry Approach to the Kinematic Dynamo Equation of Magnetohydrodynamics.- Quasi-Lipschitz Conditions in Euler Flows.- Interfaces in Solutions of Diffusion-absorption Equations in Arbitrary Space Dimension.- Estimates for Solutions of Fully Nonlinear Discrete Schemes.

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        Trends in Partial Differential Equations of Mathematical Physics