Results 31 to 40 of about 103 (101)
Advances in Numerical Analysis, Volume 2016, Issue 1, 2016., 2016 We consider a one‐dimensional Allen‐Cahn equation with constraint from the viewpoint of numerical analysis. The constraint is provided by the subdifferential of the indicator function on the closed interval, which is the multivalued function. Therefore, it is very difficult to perform a numerical experiment of our equation. In this paper we approximate
Tomoyuki Suzuki +3 more
wiley +1 more source
Mosco convergence in locally convex spaces
Journal of Functional Analysis, 1992 Given a dual pair \(E\), \(F\) of locally convex spaces, each with its corresponding weak topology \(\sigma\) and Mackey topology \(\tau\), one says that a sequence \(\{f_ n\}\) of functions \(E\to [-\infty,\infty]\) (or \(F\to [-\infty,\infty]\)) is Mosco-convergent to a function \(f_ 0\) if the following conditions are satisfied for each \(v\) in \(E\
openaire +2 more sources
IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.This paper addresses the problem of a 500‐kV main grid partition planning by proposing a partition method based on complex network theory and an improved multi‐objective cuckoo search optimisation (MOCSO) algorithm to achieve grid optimal partition and the generation of key channel set.
Xun Lu, Xianfu Gong, Peng Wang
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On the Convergence of Solutions for SPDEs under Perturbation of the Domain
Discrete Dynamics in Nature and Society, Volume 2016, Issue 1, 2016., 2016 We investigate the effect of domain perturbation on the behavior of mild solutions for a class of semilinear stochastic partial differential equations subject to the Dirichlet boundary condition. Under some assumptions, we obtain an estimate for the mild solutions under changes of the domain.
Zhongkai Guo +3 more
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The digitalization of family life: A multilevel conceptual framework
Journal of Marriage and Family, Volume 86, Issue 5, Page 1160-1183, October 2024.Abstract The internet and digital technologies have penetrated all domains of people's lives, and family life is no exception. Despite being a characterizing feature of contemporary family change, the digitalization of family life has yet to be systematically theorized.
Yue Qian, Yang Hu
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Semilinear Evolution Problems with Ventcel‐Type Conditions on Fractal Boundaries
International Journal of Partial Differential Equations, Volume 2014, Issue 1, 2014., 2014 A semilinear parabolic transmission problem with Ventcel′s boundary conditions on a fractal interface S or the corresponding prefractal interface Sh is studied. Regularity results for the solution in both cases are proved. The asymptotic behaviour of the solutions of the approximating problems to the solution of limit fractal problem is analyzed.
Maria Rosaria Lancia +2 more
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Quasi‐conical domains with embedded eigenvalues
Bulletin of the London Mathematical Society, Volume 56, Issue 9, Page 2969-2981, September 2024.Abstract The spectrum of the Dirichlet Laplacian on any quasi‐conical open set coincides with the non‐negative semi‐axis. We show that there is a connected quasi‐conical open set such that the respective Dirichlet Laplacian has a positive (embedded) eigenvalue.
David Krejčiřík, Vladimir Lotoreichik
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Lower Convergence of Minimal Sets in Star‐Shaped Vector Optimization Problems
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 Let {An} be a sequence of nonempty star‐shaped sets. By using generalized domination property, we study the lower convergence of minimal sets Min An. The distinguishing feature of our results lies in disuse of convexity assumptions (only using star‐shapedness).
Rong Hu, Xian-Jun Long
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 6, Page 4319-4344, April 2024.We define the concept of energy‐variational solutions for the Navier–Stokes and Euler equations and prove their existence in any space dimension. It is shown that the concept of energy‐variational solutions enjoys several desirable properties. Energy‐variational solutions are not only known to exist and coincide with local strong solutions, but the ...
Robert Lasarzik
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Stable domains for higher order elliptic operators
Comptes Rendus. MathématiqueThis paper is devoted to prove that any domain satisfying a $(\delta _0,r_0)$-capacitary condition of first order is automatically $(m,p)$-stable for all $m\geqslant 1$ and $p> 1$, and for any dimension $N\geqslant 1$.
Grosjean, Jean-François +2 more
doaj +1 more source