On the topological derivative due to kink of a crack with non-penetration. Anti-plane model [0.03%]
裂纹非穿透拐角处拓扑导数的反平面模型
A M Khludnev,V A Kovtunenko,A Tani
A M Khludnev
A topological derivative is defined, which is caused by kinking of a crack, thus, representing the topological change. Using variational methods, the anti-plane model of a solid subject to a non-penetration condition imposed at the kinked c...
A pseudo-differential calculus on non-standard symplectic space; Spectral and regularity results in modulation spaces [0.03%]
非标准辛空间上的伪微分算子的符号演算及调和分析_spacespectralandregularityresultsinmodulationspaces
Nuno Costa Dias,Maurice de Gosson,Franz Luef et al.
Nuno Costa Dias et al.
The usual Weyl calculus is intimately associated with the choice of the standard symplectic structure on [Formula: see text]. In this paper we will show that the replacement of this structure by an arbitrary symplectic structure leads to a ...
Existence, Uniqueness and Asymptotic Stability of Time Periodic Traveling Waves for a Periodic Lotka-Volterra Competition System with Diffusion [0.03%]
具扩散的周期Lotka-Volterra竞争系统中时间周期行波解的整体存在性、唯一性及渐近稳定性
Guangyu Zhao,Shigui Ruan
Guangyu Zhao
We study the existence, uniqueness, and asymptotic stability of time periodic traveling wave solutions to a periodic diffusive Lotka-Volterra competition system. Under certain conditions, we prove that there exists a maximal wave speed c(*)...