Nonlinear Problems in Mathematical Physics and Related Topics II: In Honor of Professor O.A. Ladyzhenskaya: 2 - Rilegato

 
9780306474224: Nonlinear Problems in Mathematical Physics and Related Topics II: In Honor of Professor O.A. Ladyzhenskaya: 2

Sinossi

The main topics in this volume reflect the fields of mathematics in which Professor O.A. Ladyzhenskaya obtained her most influential results. One of the main topics considered in the volume is the Navier-Stokes equations. This subject is investigated in many different directions. In particular, the existence and uniqueness results are obtained for the Navier-Stokes equations in spaces of low regularity. A sufficient condition for the regularity of solutions to the evolution Navier-Stokes equations in the three-dimensional case is derived and the stabilization of a solution to the Navier-Stokes equations to the steady-state solution and the realization of stabilization by a feedback boundary control are discussed in detail. Connections between the regularity problem for the Navier-Stokes equations and a backward uniqueness problem for the heat operator are also clarified.

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Contenuti

Nonhomogeneous Navier-Stokes Equations with Integrable Low Regularity Data; H. Amann. On the Rectiability of Defect Measures Arising in a Micromagnetics Model; L. Ambrosio, B. Kirchheim, M. Lecumberry,T. Rivière. Vorticity and Smoothness in Viscous Flows; H. Beirão da Veiga. Absolute Continuity of the Spectrum of the Periodic Operator of ElasticityTheory for Constant Shear Modulus; M.Sh. Birman,T.A. Suslina. Some Properties of Solutions of Fully Nonlinear Partial Differential Inequalities; I. Capuzzo Dolcetta. On Time Discretizations for Generalized Newtonian Fluids; L. Diening, A. Prohl, M. Ruzicka. A Stokes Like-System for Mixtures; J. Frehse, S. Goj, J. Málek. Real Processes and Realizability of a Stabilization. Method for Navier Stokes Equations; A.V. Fursikov. On the Inelastic Boltzmann Equation with Diffusive Forcing; I.M. Gamba, V. Panferov, C. Villani. On Problems in Continuum Mechanics with the Maxwell Viscosity; S.K. Godunov. Uniqueness of Recovery of SomeSystems of Quasilinear Elliptic and Parabolic Partial Differential Equations; V. Isakov. Global Solution of Coupled Kuramoto Sivashinsky and Ginzburg-Landau Equations; V.K. Kalantarov. On Skyrme's Model; L. Kapitanski. Linear and Nonlinear Ultraparabolic Equations of Kolmogorov Type Arising in Diffusion Theory and in Finance; E. Lanconelli, A. Pascucci, S. Polidoro. On the Dimension of theGlobal Attractor for the Modifed Navier-Stokes Equations; J. Málek, D. Prazák. The Diffusion Velocity Method as a Tool for General Diffusion Equations; S. Mas-Gallic. Harnack Inequalities on Scale Irregular Sierpinski Gaskets; U. Mosco. Mean Value Theorems and Harnack Inequalities; M. Safonov. The Navier-Stokes Equations and Backward Uniqueness; G. Seregin, V.Šverák. Hessian Equations on Compact Riemannian Manifolds; J. Urbas. Index.

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9781461352020: Nonlinear Problems in Mathematical Physics and Related Topics II: In Honor of Professor O.A. Ladyzhenskaya: 2

Edizione in evidenza

ISBN 10:  1461352029 ISBN 13:  9781461352020
Casa editrice: Springer, 2012
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