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Unbalanced signed graphs with eigenvalue properties.
Publication Type: Academic Journal
Source(s): AIMS Mathematics (2473-6988). 2023, Vol. 8 Issue 10, p24751-24763. 13p.
Transition and bifurcation analysis for chemotactic systems with double eigenvalue crossings.
Publication Type: Academic Journal
Source(s): AIMS Mathematics (2473-6988). 2023, Vol. 8 Issue 10, p24681-24698. 18p.
Abstract: Our main objective of this research is to study the dynamic transition for diffusive chemotactic systems modeled by Keller-Segel equations in a rectangular domain. The main tool used is the recently developed dynamic transition theory. Through a reduct...
Asymptotic analysis of stretching modes for a folded plate.
Publication Type: Academic Journal
Source(s): AIMS Mathematics (2473-6988). 2023, Vol. 8 Issue 10, p23974-23988. 15p.
Abstract: In this paper, we show that the spectral problem associated to stretching modes in a thin folded plate can be derived from the three-dimensional eigenvalue problem of linear elasticity through a rigourous convergence analysis as the thickness of the pl...
Signless Laplacian eigenvalues of the zero divisor graph associated to finite commutative ring ZpM1qM2.
Publication Type: Academic Journal
Source(s): Communications in Combinatorics & Optimization. 2023, Vol. 8 Issue 3, p561-574. 14p.
Abstract: For a commutative ring R with identity 1 6= 0, let the set Z(R) denote the set of zero-divisors and let Z-(R) = Z(R) n f0g be the set of non-zero zero divisors of R. The zero divisor graph of R, denoted by -(R), is a simple graph whose vertex set is Z-...
A posteriori error estimates of mixed discontinuous Galerkin method for a class of Stokes eigenvalue problems.
Publication Type: Academic Journal
Source(s): AIMS Mathematics (2473-6988). 2023, Vol. 8 Issue 9, p21270-21297. 29p.
Abstract: For a class of Stokes eigenvalue problems including the classical Stokes eigenvalue problem and the magnetohydrodynamic Stokes eigenvalue problem a residual type a posteriori error estimate of the mixed discontinuous Galerkin finite element method usin...
Asymptotic analysis of high frequency modes for thin elastic plates.
Publication Type: Academic Journal
Source(s): AIMS Mathematics (2473-6988). 2023, Vol. 8 Issue 8, p1-13. 13p.
Abstract: In this paper, we show that the high frequency modes of a thin clamped plate and the associated eigenfunctions converge, as the thickness of the plate goes to zero, to the eigenvalues and the eigenfunctions of a two-dimensional eigenvalue problem assoc...
Pattern-Multiplicative Average of Nonnegative Matrices Revisited: Eigenvalue Approximation Is the Best of Versatile Optimization Tools.
Publication Type: Academic Journal
Source(s): Mathematics (2227-7390). Jul2023, Vol. 11 Issue 14, p3237. 12p.
Abstract: Given several nonnegative matrices with a single pattern of allocation among their zero/nonzero elements, the average matrix should have the same pattern, too. This is the first tenet of the pattern-multiplicative average (PMA) concept, while the secon...
Eigenvalue Problem for a Reduced Dynamo Model in Thick Astrophysical Discs.
Publication Type: Academic Journal
Source(s): Mathematics (2227-7390). Jul2023, Vol. 11 Issue 14, p3106. 14p.
Abstract: Magnetic fields of different astrophysical objects are generated by the dynamo mechanism. Dynamo is based on the alpha-effect and differential rotation, which are described using a system of parabolic equations. Their solution is an important problem i...
On Isospectral Composite Beams.
Publication Type: Academic Journal
Source(s): Applied Sciences (2076-3417). Jul2023, Vol. 13 Issue 13, p7606. 11p.
Abstract: We consider a composite system consisting of two identical straight elastic beams under longitudinal vibration connected by an elastic interface capable of counteracting the relative vibration of the two beams with its shearing stiffness. We construct ...
Multiscale Asymptotic Computations for the Elastic Quadratic Eigenvalue Problem in Periodically Composite Structure.
Publication Type: Academic Journal
Source(s): Symmetry (20738994). Jul2023, Vol. 15 Issue 7, p1299. 25p.
Abstract: A multiscale analysis and computational method based on the Second-Order Two-Scale (SOTS) approach are proposed for the elastic quadratic eigenvalue problems in the periodic composite domain. Two typical quadratic eigenvalue problems with different dam...