Results 271 to 280 of about 41,570 (295)
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The Evolution of Evolutionary Equations
2002“May you live in exciting times!” This traditional Chinese saying aptly describes the environment surrounding the basic developments in mathematics, physics, and chemistry over the past four centuries. From the founding of the European Academies of Sciences during the era of Peter the Great and Napoleon, to the founding of the National Science ...
George R. Sell, Yuncheng You
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Attractors for Evolutionary Equations
2010This chapter provides a survey of quantitative theory pertinent to long-time behavior of infinite-dimensional dissipative systems. The results are presented in a convenient form for applications to the material presented in subsequent chapters. For other possible approaches to the topic we refer to the monographs [17, 61, 134, 139, 172, 259, 273].
Igor Chueshov, Irena Lasiecka
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Moment equations in spatial evolutionary ecology
Journal of Theoretical Biology, 2016How should we model evolution in spatially structured populations? Here, I review an evolutionary ecology approach based on the technique of spatial moment equations. I first provide a mathematical underpinning to the derivation of equations for the densities of various spatial configurations in network-based models.
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Homogenization of attractors of non--linear evolutionary equations
1999The paper is devoted to the homogenization of nonlinear evolutionary equations in domains with ``traps''. The authors consider an initial boundary value problem for a semilinear parabolic equation of the form: \[ \frac{\partial u}{\partial t}- L_\varepsilon u+ f(u)= h, \quad t>0, \qquad u^\varepsilon (x,0)= u_0^\varepsilon (x), \] where \(L_\varepsilon\
Khruslov, E., Pankratov, L.
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Basic Theory of Evolutionary Equations
2002In the last chapter, we presented a theory describing solutions of a linear evolutionary equation ə t u + Au = 0, where \( {\partial _t}u = \frac{d}{{dt}}u \) on a Banach space W, in terms of C o-semigroups. As we have seen, this theory allows one to construct mild solutions of many linear partial differential equations with constant coefficients.
George R. Sell, Yuncheng You
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Neural ordinary differential equations for ecological and evolutionary time‐series analysis
Methods in Ecology and Evolution, 2021Willem Bonnaffe +2 more
exaly
A novel evolutionary algorithm for determining unified creep damage constitutive equations
International Journal of Mechanical Sciences, 2002Xin Yao
exaly