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200 10$aLong-time behavior of second order evolution equations with nonlinear damping /$fIgor Chueshov, Irena Lasiecka
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008]
210  4$d©2008
215   $a1 online resource (200 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 912
300   $a"Volume 195, number 912 (third of 4 numbers )."
300   $a"September 2008."
311   $a0-8218-4187-4 
320   $aIncludes bibliographical references (pages 179-182) and index.
327   $a""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Description of the problem studied""; ""1.2. The model and basic assumption""; ""1.3. Well-posedness""; ""Chapter 2. Abstract results on global attractors""; ""2.1. Criteria for asymptotic smoothness of dynamical systems""; ""2.2. Criteria for finite dimensionality of attractors""; ""2.3. Exponentially attracting positively invariant sets""; ""2.4. Gradient systems""; ""Chapter 3. Existence of compact global attractors for evolutions of the second order in time""; ""3.1. Ultimate dissipativity""
327   $a""3.2. Asymptotic smoothness: the main assumption""""3.3. Global attractors in subcritical case""; ""3.4. Global attractors in critical case""; ""Chapter 4. Properties of global attractors for evolutions of the second order in time""; ""4.1. Finite dimensionality of attractors""; ""4.2. Regularity of elements from attractors""; ""4.3. Rate of stabilization to equilibria""; ""4.4. Determining functionals""; ""4.5. Exponential fractal attractors (inertial sets)""; ""Chapter 5. Semilinear wave equation with a nonlinear dissipation""; ""5.1. The model""; ""5.2. Main results""; ""5.3. Proofs""
327   $a""Chapter 6. Von Karman evolutions with a nonlinear dissipation""""6.1. The model""; ""6.2. Properties of von Karman bracket""; ""6.3. Abstract setting of the model""; ""6.4. Model with rotational forces: I?± > 0""; ""6.5. Non-rotational case I?± = 0""; ""Chapter 7. Other models from continuum mechanics""; ""7.1. Berger's plate model""; ""7.2. Mindlin-Timoshenko plates and beams""; ""7.3. Kirchhoff limit in Mindlin-Timoshenko plates and beams""; ""7.4. Systems with strong damping""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""
327   $a""N""""O""; ""P""; ""R""; ""S""; ""U""
410  0$aMemoirs of the American Mathematical Society ;$vno. 912.
606   $aAttractors (Mathematics)
606   $aEvolution equations, Nonlinear
606   $aDifferentiable dynamical systems
608   $aElectronic books.
615  0$aAttractors (Mathematics)
615  0$aEvolution equations, Nonlinear.
615  0$aDifferentiable dynamical systems.
676   $a514/.74
700   $aChueshov$b Igor$f1951-2016,$01029267
702   $aLasiecka$b I$g(Irena),$f1948-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480527103321
996   $aLong-time behavior of second order evolution equations with nonlinear damping$92445567
997   $aUNINA