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Div–Curl System with Potential and Maxwell–Stokes System with Natural Boundary Condition
This paper concerns the boundary value problems of div–curl system with potential, and those of the Maxwell–Stokes system under natural boundary...
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Landesman-Lazer type (p, q)-equations with Neumann condition
We consider a Neumann problem driven by the ( p, q )-Laplacian under the Landesman-Lazer type condition. Using the classical saddle point theorem and...
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Agent-Based Principal Strips Modeling for Freeform Surfaces in Architecture
The principal curvature (PC) of a freeform surface, as an important indicator of its fundamental features, is frequently used to guide their...
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Effects of an attached functionally graded layer on the electromechanical behaviors of piezoelectric semiconductor fibers
In this paper, we propose a specific two-layer model consisting of a functionally graded (FG) layer and a piezoelectric semiconductor (PS) layer....
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A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions
For a class of semilinear elliptic systems, the existence of a broader class of multibump solutions is established under considerably weaker...
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Exact Mixed Synchronization by Groups
In this chapter we consider the exact synchronization by groups under mixed controls, and study the necessity of the condition of...
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Study of Data-Driven Prediction of Roughness Skin Friction
The potential of develo** a machine learning predictive model for the roughness equivalent sand-grain size...
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Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect
In this paper, to better reveal the surface effect and the screening effect as well as the nonlinear multi-field coupling characteristic of the...
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On principally small-injective rings
A ring R is called right (left) principally small ( PS )- injective if every R -homomorphism from a principal right (left) ideal contained in the...
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Codescent and Bicolimits of Pseudo-Algebras
We categorify cocompleteness results of monad theory, in the context of pseudomonads. We first prove a general result establishing that, in any...
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On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth
We introduce the concept of a maximal B -attractor for a semigroup, and find conditions under which a semigroup in a metric space possess a maximal B -a...
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An adaptive finite element DtN method for the acoustic-elastic interaction problem
Consider the scattering of a time-harmonic acoustic incident wave by a bounded, penetrable and isotropic elastic solid, which is immersed in a...
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New Results on Equivalence of Multivariate Polynomial Matrices
This paper investigates equivalence of square multivariate polynomial matrices with the determinant being some power of a univariate irreducible...
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Quasilinear problems under local Landesman–Lazer condition
This paper presents results on the existence and multiplicity of solutions for quasilinear problems in bounded domains involving the p-Laplacian...
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Stochastic projective splitting
We present a new, stochastic variant of the projective splitting (PS) family of algorithms for inclusion problems involving the sum of any finite...
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Typical transient effects in a piezoelectric semiconductor nanofiber under a suddenly applied axial time-dependent force
Based on the mechanical motion equation, Gauss’s law, and the current continuity condition, we study a few typical transient effects in a...
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Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0
This paper is concerned with a class of periodic Schrödinger lattice systems with spectrum 0 and saturable nonlinearities. The existence of ground...