Results 41 to 50 of about 440 (138)
Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley +1 more source
Entanglement scaling behaviors of free fermions on hyperbolic lattices
Recently, tight-binding models on hyperbolic lattices (discretized anti–de Sitter space) have gained significant attention, leading to hyperbolic band theory and non-Abelian Bloch states.
Xiang-You Huang, Yao Zhou, Peng Ye
doaj +1 more source
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
Local multiplicativity of perverse filtrations
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley +1 more source
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Free semigroups of large critical exponent
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley +1 more source
Mitigating Black Pod Disease in Cocoa Plants: An Optimal Control and Cost‐Effectiveness Analysis
ABSTRACT Black pod disease (BPD), caused by Phytophthora species, continues to pose a significant threat to cocoa production, particularly in tropical regions where cocoa farming is a major economic activity. This study develops a deterministic compartmental model to understand the transmission dynamics of BPD and evaluate the impact of multiple ...
Bernard Asamoah Afful
wiley +1 more source
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source
Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
wiley +1 more source
Impedance Spectroscopy of Bifurcation Oscillations in S‐Type Self‐Oscillatory Devices
Impedance spectroscopy (IS) reveals stability regimes and bifurcation dynamics in S‐type self‐oscillatory devices. By linking nonlinear control theory with frequency‐domain measurements, experimental signatures of oscillations, entrainment, and phase locking are directly identified.
Gonzalo Rivera‐Sierra +5 more
wiley +1 more source

