Results 61 to 70 of about 217 (161)
Open Mathematics, 2015 Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number ...
Goufo Emile Franc Doungmo +1 more
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Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley +1 more source
On the Compactness of Strongly Continuous Semigroups and Cosine Functions of Operators [PDF]
Proceedings of the American Mathematical Society, 1995 In this note we relate two notions of compactness for strongly continuous semigroups of linear operators and cosine functions of linear operators. Specifically, if T denotes a strongly continuous semigroup of linear operators defined on a Banach space X
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The eigenstructure of some positive linear operators
Journal of Numerical Analysis and Approximation Theory, 2014 Of concern is the study of the eigenstructure of some classes of positive linear operators satisfying particular conditions. As a consequence, some results concerning the asymptotic behaviour as \(t\to +\infty\) of particular strongly continuous ...
Antonio Attalienti, Ioan Raşa
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A new look at boundary perturbations of generators
Electronic Journal of Differential Equations, 2004 In this paper we show that Greiner's results on boundary perturbation can be obtained systematically and partially generalised by applying additive perturbation theorems to appropriate operator matrices.
Gregor Nickel
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Non-power bounded generators of strongly continuous semigroups
Journal of Mathematical Analysis and Applications, 2016 It is folklore that a power bounded operator on a sequentially complete locally convex space generates a uniformly continuous $C_0$-semigroup which is given by the corresponding power series representation. Recently, Domański asked if in this result the assumption of being power bounded can be relaxed. We employ conditions introduced by Żelazko to give
Golińska, Anna, Wegner, Sven-Ake
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Global and local versions for a Phong Vu theorem for periodic evolution families in Hilbert spaces
Electronic Journal of Differential Equations, 2018 A theorem of Gearhart concerning strongly continuous semigroups in Hilbert spaces is extremely useful for stability analysis of concrete equations; see e.g. [20]), and for control theory [27] or [13, page 475].
Constantin Buse +2 more
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Strong convergence theorems for strongly continuous semigroups of pseudocontractions
Applied Mathematics Letters, 2011 Let \(E\) be a Banach space and \(K\) be a closed convex subset of \(E\). Let \((T(t): t\geq 0)\) be a strongly continuous semigroup of Lipschitz pseudocontractions from \(K\) to itself with \(F:=\bigcap\{\text{Fix}(T(t)): t\geq 0\}\neq \emptyset\). The strong convergence of the implicit iterative process \[ x_0\in K,\;x_{n}=\alpha_nx_{n-1}+\beta_nT ...
Ravi P. Agarwal +2 more
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Variation of constants formula for functional parabolic partial differential equations
Electronic Journal of Differential Equations, 2007 This paper presents a variation of constants formula for the system of functional parabolic partial differential equations $$displaylines{ frac{partial u(t,x)}{partial t} = DDelta u+Lu_t+f(t,x), quad t>0,; uin mathbb{R}^n cr frac{partial u(t,x ...
Hugo Leiva, Alexander Carrasco
doaj
Fractal and FractionalIn the qualitative theory of differential equations in Banach spaces, the resolving families of operators of such equations play an important role.
Vladimir E. Fedorov +4 more
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