Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
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An ant colony genetic fusion routing algorithm based on soft define network
IET Networks, EarlyView., 2022 Abstract Aiming at the problem that there are many paths in data forwarding in soft define network (SDN) network, and the optimal path is difficult to find, combined with the advantages of ant colony algorithm and Genetic algorithm (GA), a routing control strategy based on the ant colony genetic fusion algorithm is proposed.
Kaixin Zhao, Yong Wei, Yang Zhang
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Learning behavior aware features across spaces for improved 3D human motion prediction. [PDF]
Sci RepJi R, Lu C, Huang Z, Zhong J.
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Toric degenerations: a bridge between representation theory, tropical\n geometry and cluster algebras [PDF]
, 2018 Lara Bossinger
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A Biophysical Approach to the Design of Networks of Communication Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by the growth dynamics of the protist Physarum polycephalum, we employ a formalism that describes adaptive, incompressible Hagen‐Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal relative to their length.
Rodrigo Almeida +2 more
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Interpretable nonconvex submodule clustering algorithm using ℓr-induced tensor nuclear norm and ℓ2,p column sparse norm with global convergence guarantees. [PDF]
PLoS OneYang M, Han S, Chen L, Wang J.
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Zariski structures in noncommutative algebraic geometry and representation theory
, 2011 Boris Zilber
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On Lie algebras associated with representation directed algebras [PDF]
, 2009 Stanisław Kasjan, Justyna Kosakowska
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Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
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