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Solutions of nonlinear evolution inclusions
Journal of Mathematical Analysis and Applications, 2006 The authors consider the nonlinear evolution inclusion \[ \frac{du} {dt}+B\bigl( t,u(t)\bigr)\ni f(t),\quad t\in[0,T]\quad u(0)=u_0,\tag{1} \] in a real reflexive Banach space \(V\) with dual \(V^*\), in which \(B:[0,T]\times V \to V^*\) is measurable and nonempty closed convex set-valued and \(f\in L^q(V^*)\).
Su Ke
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Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions
Advances in Nonlinear Analysis, 2017 We consider a nonlinear optimal control problem governed by a nonlinear evolution inclusion and depending on a parameter λ. First we examine the dynamics of the problem and establish the nonemptiness of the solution set and produce continuous selections ...
Papageorgiou Nikolaos S. +2 more
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Nonlinear evolution inclusions: Topological characterizations of solution sets and applications
Journal of Functional Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Zhou, Rong-Nian Wang
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Well-posedness of a fully nonlinear evolution inclusion of second order
Journal of Elliptic and Parabolic EquationsThe well-posedness of the abstract \textsc{Cauchy} problem for the doubly nonlinear evolution inclusion equation of second order \begin{align*} \begin{cases} u''(t)+\partial Ψ(u'(t))+B(t,u(t))\ni f(t), &\quad t\in (0,T),\, T>0,\\ u(0)=u_0, \quad u'(0)=v_0 \end{cases} \end{align*} in a real separable \textsc{Hilbert} space $\mathscr{H}$, where ...
Aras Bacho
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Causality violations in realistic simulations of relativistic nuclear collisions [PDF]
EPJ Web of Conferences, 2023 We show that relativistic causality is violated in the early stages of state-of-the-art heavy-ion hydrodynamic simulations of nuclear collisions. Up to 75% of the initial fluid cells violate nonlinear causality constraints, while superluminal propagation
Plumberg Christopher +4 more
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Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions [PDF]
Complexity, 2021 In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m ...
Guangwang Su, Funing Lin
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Existence theorems for nonlinear evolution inclusions [PDF]
Annali di Matematica Pura ed Applicata, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARDINALI, Tiziana, F. Papalini
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On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces [PDF]
Opuscula Mathematica, 2012 In this paper, we discuss the existence results for a class of nnlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the
Zuomao Yan
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Nonlinear Delay Evolution Inclusions on Graphs [PDF]
, 2014 We prove a necessary and a sufficient condition for a time-dependent closed set to be viable with respect to a delay evolution inclusion. An application to a null controllability problem is also included.
Mihai Necula +2 more
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Frontiers in Earth Science, 2023 Assessing hurricane predictions in a changing climate is one of the most challenging weather forecast problems today. Furthermore, effectively integrating information-rich features that are specific to the growth of hurricanes proves to be a difficult ...
Javier Martinez-Amaya +3 more
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