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Titlebook: Qualitative and Quantitative Analysis of Nonlinear Systems; Theory and Applicati Michael Z. Zgurovsky,Pavlo O. Kasyanov Book 2018 Springer

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Strongest Convergence Results for Weak Solutions of Differential-Operator Equations and Inclusionsnlinear problems on manifolds with and without boundary: a climate energy balance model; a model of conduction of electrical impulses in nerve axons; viscoelastic problems with nonlinear “reaction-displacement” law.
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Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Resultsons and inclusions. In Sect. . we consider the second order operator differential equations and inclusions in special classes of infinite-dimensional spaces of distributions. Section . devoted to the existence of strong solutions for evolutional variational inequalities with nonmonotone potential. T
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Advances in the 3D Navier-Stokes Equationsover, we establish sufficient conditions for Leray-Hopf property of a weak solution for the 3D Navier-Stokes system. Under such conditions this weak solution is rightly continuous in the standard phase space . endowed with the strong convergence topology.
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Strongest Convergence Results for Weak Solutions of Non-autonomous Reaction-Diffusion Equations withstem with Carathéodory’s nonlinearity satisfying standard sign and polynomial growth assumptions. The main contributions of this chapter are: the uniform convergence results for all globally defined weak solutions of non-autonomous reaction-diffusion equations with Carathéodory’s nonlinearity and su
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Strongest Convergence Results for Weak Solutions of Differential-Operator Equations and Inclusionsr first order differential-operator equations and inclusions. Section . devoted to convergence results for weak solutions of second order operator differential equations and inclusions. In Sect. . we consider the following examples of applications: nonlinear parabolic equations of divergent form; no
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Uniform Global Attractors for Non-autonomous Dissipative Dynamical Systemsl classes of infinite-dimensional phase spaces. The obtained generalizations allow us to avoid the restrictive compactness assumptions on the space of shifts of non-autonomous terms in particular evolution problems. The results are applied to several evolution inclusions.
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