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Preface: Thematic Issue in Mathematical Biology and Applied Evolutionary Equations
Mathematics in Applied Sciences and Engineering, 2020 Preface: Thematic Issue in Mathematical Biology and Applied Evolutionary ...
Naveen K. Vaidya, Dhruba R. Adhikari
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Dynamics of Evolutionary Differential Equations with Several Spatial Variables
Mathematics, 2023 The article is devoted to a method for constructing exact and approximate solutions of evolutionary partial differential equations with several spatial variables. The method is based on the theory of completely integrable distributions.
Alexei G. Kushner
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Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations [PDF]
Journal of Scientific Computing, 2021 AbstractWe show that the discrete operator stemming from time-space discretization of evolutionary partial differential equations can be represented in terms of a single Sylvester matrix equation. A novel solution strategy that combines projection techniques with the full exploitation of the entry-wise structure of the involved coefficient matrices is ...
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Notes on spectrum and exponential decay in nonautonomous evolutionary equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We first determine the dichotomy (Sacker-Sell) spectrum for certain nonautonomous linear evolutionary equations induced by a class of parabolic PDE systems.
Christian Pötzsche, Evamaria Russ
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, 2020 This is the final version of the lecture notes of the 23rd Internet Seminar on Evolutionary Equations, see also https://www.mat.tuhh.de/isem23/.
Seifert, Christian +2 more
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Maximal Regularity for Non-autonomous Evolutionary Equations [PDF]
Integral Equations and Operator Theory, 2021 AbstractWe discuss the issue of maximal regularity for evolutionary equations with non-autonomous coefficients. Here evolutionary equations are abstract partial-differential algebraic equations considered in Hilbert spaces. The catch is to consider time-dependent partial differential equations in an exponentially weighted Hilbert space. In passing, one
Sascha Trostorff, Marcus Waurick
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Generalized Evolutionary Equations with Imposed Symmetries [PDF]
AIP Conference Proceedings, 2010 The paper proposes an algorithm which could identify a general class of pdes describing dynamical systems with similar symmetries. The way that will be followed starts from a given group of symmetries, the determination of the invariants and, then, of the compatible equations of evolution.
Radu Constantinescu +3 more
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Applied SciencesThe classical many-body problem is not integrable, so perturbation theory based on an exact solution to the two-body problem is usually applied to investigate the dynamics of planetary systems.
Alexander Prokopenya +2 more
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Discrete evolutionary population models: a new approach
Journal of Biological Dynamics, 2020 In this paper, we apply a new approach to a special class of discrete time evolution models and establish a solid mathematical foundation to analyse them. We propose new single and multi-species evolutionary competition models using the evolutionary game
Karima Mokni +3 more
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Mathematics, 2022 This article studies the 3D incompressible micropolar fluids with rapidly oscillating terms. The authors prove that the trajectory statistical solutions of the oscillating fluids converge to that of the homogenized fluids provided that the oscillating ...
Hujun Yang, Xiaoling Han, Caidi Zhao
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