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Periodic Solutions and Asymptotic Behavior of a PDE with Hysteresis in the Source Term [PDF]
Rocky Mountain Journal of Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jana Kopfová
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Communications in Nonlinear Science and Numerical Simulation, 2020 In this paper we study the continuous and full discrete versions of a parabolic-parabolic-elliptic system with periodic terms that serves as a model for some chemotaxis phenomena. This model appears naturally in the interaction of two biological species and a chemical.
Mihaela Negreanu, A.M. Vargas
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Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs
Journal of Differential Equations, 2003 Every semigroup \(T\) on a Banach space \(X\) can be used to define elements \(u\in X\) of exponential type relative to \(T\) by requiring that \(u= T(s)v\) for some \(s>0\) and \(v\in X\). Let \(X\) and \(Y\) be Banach spaces in which the exponential type is characterized by the semigroups \(T\) and \(S\), respectively, and \(L: X\to Y\) be Fredholm ...
Patrick J. Rabier
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Multiple patterns formation for an aggregation/diffusion predator-prey system
Networks and Heterogeneous Media, 2021 We investigate existence of stationary solutions to an aggregation/diffusion system of PDEs, modelling a two species predator-prey interaction. In the model this interaction is described by non-local potentials that are mutually proportional by a ...
Simone Fagioli, Yahya Jaafra
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Sharp interface limit in a phase field model of cell motility
Networks and Heterogeneous Media, 2017 We consider a phase field model of cell motility introduced in [40] which consists of two coupled parabolic PDEs. We study the asymptotic behavior of solutions in the limit of a small parameter related to the width of the interface (sharp interface limit)
Leonid Berlyand +2 more
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On explosive solutions for a class of quasi-linear elliptic equations [PDF]
, 2012 We study existence, uniqueness, multiplicity and symmetry of large solutions for a class of quasi-linear elliptic equations. Furthermore, we characterize the boundary blow-up rate of solutions, including the case where the contribution of boundary ...
Gladiali, Francesca, Squassina, Marco
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Doubly Spinning Black Rings [PDF]
, 2006 We study a method to solve stationary axisymmetric vacuum Einstein equations numerically. As an illustration, the five-dimensional doubly spinning black rings that have two independent angular momenta are formulated in a way suitable for fully nonlinear ...
Hideaki Kudoh, W. Press
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Residual equilibrium schemes for time dependent partial differential equations [PDF]
, 2016 Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibrium states may be challenging for numerical methods, in particular for high ...
Pareschi, Lorenzo, Rey, Thomas
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A dynamical approximation for stochastic partial differential equations [PDF]
, 2007 Random invariant manifolds often provide geometric structures for understanding stochastic dynamics. In this paper, a dynamical approximation estimate is derived for a class of stochastic partial differential equations, by showing that the random ...
Blömker D. +5 more
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