Results 31 to 40 of about 18,044,700 (176)
Intrinsically Design‐Rule‐Compliant Nanophotonic Inverse Design via Learned Generative Manifolds
Laser &Photonics Reviews, EarlyView.A generative reparameterization framework for nanophotonic inverse design is introduced, restricting optimization to a learned manifold of design‐rule‐compliant geometries. Unlike conventional penalty‐based approaches, fabrication constraints are encoded intrinsically within the design representation.
Bahrem Serhat Danis +8 more
wiley +1 more source
Global well-posedness for the generalized 2D Ginzburg–Landau equation [PDF]
, 2009 The local well-posedness for the generalized two-dimensional (2D) Ginzburg–Landau equation is obtained for initial data in Hs(R2) (s>1/2). The global result is also obtained in Hs(R2) (s>1/2) under some conditions.
Huo, Zhaohui, Jia, Yueling
core +1 more source
A Time-Oscillating Hartree-Type Schrödinger Equation
Abstract and Applied Analysis, 2014 We consider the time-oscillating Hartree-type Schrödinger equation iut+Δu+θωtx-γ*u2u=0, where θ is a periodic function. For the mean value I(θ) of θ, we show that the solution uω converges to the solution of iUt+ΔU+Iθx-γ*U2U=0 for their local well ...
Xu Chen
doaj +1 more source
Managerial and Decision Economics, EarlyView.ABSTRACT Trade‐policy shocks raise visible operating pressure on firms through sourcing costs, supplier exposure, and market‐serving choices. A direct operating‐margin interpretation points to production reconfiguration, pricing changes, or supply‐chain adjustment.
Garros Gong, Stanko Dimitrov
wiley +1 more source
Global Well-Posedness for a Family of MHD-Alpha-Like Models
Journal of Applied Mathematics, 2011 Global well-posedness is proved for a family of n-dimensional MHD-alpha-like models.
Xiaowei He
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Global well-posedness for two dimensional semilinear wave equations [PDF]
, 2000 We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions. It is shown that global well-posedness holds in spaces of lower regularity than that suggested by the energy space y .
Fonseca, Germán E.
core +1 more source
On a strongly damped semilinear wave equation with time-varying source and singular dissipation
Advances in Nonlinear Analysis, 2022 This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation with time-varying source and singular dissipative terms under the null Dirichlet boundary condition.
Yang Yi, Fang Zhong Bo
doaj +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley +1 more source