Existence and Asymptotic Behavior for a Lamé System with Time-Dependent Delay and Analytic Nonlinearity: Existence and asymptotic behavior for a Lamé system with time-dependent delay and analytic nonlinearity

Συγγραφείς: Feng, Baowei

Πηγή: SIAM Journal on Mathematical Analysis. 57:1753-1780

Θεματικοί όροι: system of elasticity, convergence, Second-order semilinear hyperbolic equations, Lattices of continuous, differentiable or analytic functions, Asymptotic behavior of solutions to PDEs, Łojasiewicz-Simon inequality, analytic nonlinearity, Nonlinear elasticity, time-delay, Stabilization of systems by feedback, Set functions and measures on topological spaces (regularity of measures, etc.), Initial-boundary value problems for second-order hyperbolic systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8035705
https://doi.org/10.1137/23m1590159

Stability analysis of partially viscoelastic Reissner-Mindlin-Timoshenko plates

Συγγραφείς: Frota, Cícero L., Silva, Marcio A. Jorge, Pinheiro, Sandro B.

Πηγή: Evolution Equations and Control Theory. 14:748-781

Θεματικοί όροι: Integro-partial differential equations, asymptotic stability, Asymptotic behavior of solutions to PDEs, plate system, Linear constitutive equations for materials with memory, Plates, viscoelasticity, Initial-boundary value problems for second-order hyperbolic systems

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Σύνδεσμος πρόσβασης: https://zbmath.org/8017655
https://doi.org/10.3934/eect.2025005

Long-time behavior of coupled beam models with fractional energy damping

Συγγραφείς: Penghui Lv, Yuxiao Cun, Guoguang Lin

Πηγή: Boundary Value Problems, Vol 2025, Iss 1, Pp 1-23 (2025)

Θεματικοί όροι: nonlinear energy structural damping, QA299.6-433, Global attractors, Second-order semilinear hyperbolic equations, Asymptotic behavior of solutions to PDEs, Coupled extensible beam system, Nonlinear energy structural damping, Attractors, coupled extensible beam system, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, Analysis, global attractors, Initial-boundary value problems for second-order hyperbolic systems

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Σύνδεσμος πρόσβασης: https://zbmath.org/8029163
https://doi.org/10.1186/s13661-025-02046-2
https://doaj.org/article/ef8bfa3eb4374919a7db3832731063c1

Revisiting the problem of existence of surface Rayleigh waves with impedance boundary conditions

Συγγραφείς: Fabio A. Vallejo

Πηγή: Boletín de la Sociedad Matemática Mexicana. 31

Θεματικοί όροι: elastic half-space, One-variable calculus, boundary value problems of PDE, Surface waves in solid mechanics, Classical Physics (physics.class-ph), FOS: Physical sciences, Physics - Classical Physics, Rayleigh waves, surface waves, impedance boundary conditions, Initial-boundary value problems for second-order hyperbolic systems

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2403.20042

Persistence of regularity of the solution to a hyperbolic boundary value problem in domain with corner

Συγγραφείς: Benoit, Antoine

Πηγή: Journal of Differential Equations. 378:94-170

Θεματικοί όροι: corner domain, Lumer-Phillips theorem, One-parameter semigroups and linear evolution equations, Smoothness and regularity of solutions to PDEs, boundary value problem, persistence of regularity, hyperbolic system of PDE, Initial-boundary value problems for second-order hyperbolic systems

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Σύνδεσμος πρόσβασης: https://zbmath.org/7765620
https://doi.org/10.1016/j.jde.2023.09.010

ON THE EXISTENCE AND STABILITY OF SOLUTIONS OF A TYPE-III THERMOELASTIC TRUNCATED TIMOSHENKO SYSTEM: On the existence and stability of solutions of a type-III thermoelastic truncated Timoshenko system

Συγγραφείς: Ahmima, Afaf, Messaoudi, Salim A., Alahyane, Mohamed

Πηγή: Journal of Applied Analysis & Computation. 14:3385-3403

Θεματικοί όροι: Asymptotic stability in control theory, Thermal effects in solid mechanics, Timoshenko, well-posedness, Asymptotic behavior of solutions to PDEs, elliptic-hyperbolic system, Stabilization of systems by feedback, exponential decay, thermoelasticity type III, Initial-boundary value problems for second-order hyperbolic systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7924376
https://doi.org/10.11948/20240019

Global and exponential attractors for a suspension bridge model with nonlinear damping

Συγγραφείς: L.G.R. Miranda, C.A. Raposo, M.M. Freitas

Πηγή: Journal of Differential Equations. 431:113217

Θεματικοί όροι: global and exponential attractors, Second-order semilinear hyperbolic equations, well-posedness, suspension bridge, Attractors, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, nonlinear friction damping, Initial-boundary value problems for second-order hyperbolic systems, Gradient-like behavior, isolated (locally maximal) invariant sets, attractors, repellers for topological dynamical systems

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Σύνδεσμος πρόσβασης: https://zbmath.org/8029673
https://doi.org/10.1016/j.jde.2025.113217

On the well-posedness and stability of an (α,β)-Laplacian nonlinearly damped coupled system with source terms of strong nonlinearities: On the well-posedness and stability of an \((\alpha,\beta)\)-Laplacian nonlinearly damped coupled system with source terms of strong nonlinearities

Συγγραφείς: Bouhoufani, Oulia, Messaoudi, Salim

Πηγή: Journal of Mathematical Analysis and Applications. 545:129089

Θεματικοί όροι: variable exponent, Second-order semilinear hyperbolic equations, well-posedness, \((\alpha, \beta)\)-Laplacian operator, stability, Fractional partial differential equations, Stability in context of PDEs, coupled system, Initial-boundary value problems for second-order hyperbolic systems

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Large-Amplitude Elastic Free-Surface Waves: Geometric Nonlinearity and Peakons: Large-amplitude elastic free-surface waves: geometric nonlinearity and peakons

Συγγραφείς: Lawrence K. Forbes, Stephen J. Walters, Anya M. Reading

Πηγή: Journal of Elasticity. 146:1-27

Θεματικοί όροι: peakons, Asymptotic behavior of solutions to PDEs, Surface waves in solid mechanics, FOS: Physical sciences, geometric nonlinearity, 02 engineering and technology, Condensed Matter - Soft Condensed Matter, surface waves, 01 natural sciences, Initial-boundary value problems for second-order hyperbolic systems, Geophysics (physics.geo-ph), Finite difference methods applied to problems in solid mechanics, Physics - Geophysics, 0203 mechanical engineering, numerical methods, Soft Condensed Matter (cond-mat.soft), curvature singularity, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/2108.07390
http://arxiv.org/abs/2108.07390
https://link.springer.com/article/10.1007/s10659-021-09852-6
https://arxiv.org/pdf/2108.07390
https://arxiv.org/abs/2108.07390
https://arxiv.org/pdf/2108.07390
http://ui.adsabs.harvard.edu/abs/2021arXiv210807390F/abstract

Energy decay analysis for Porous elastic system with thermoelasticity of type III: A second spectrum approach: Energy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approach

Συγγραφείς: Hamza Zougheib, Toufic El Arwadi

Πηγή: Results in Applied Mathematics, Vol 21, Iss, Pp 100435-(2024)

Θεματικοί όροι: Asymptotic behavior of solutions to PDEs, Finite element analysis, exponential decay, finite element analysis, 01 natural sciences, Initial-boundary value problems for second-order hyperbolic systems, Thermal effects in solid mechanics, thermoelasticity, Porous system, porous system, Exponential decay, QA1-939, 0101 mathematics, Thermoelasticity, Mathematics

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Σύνδεσμος πρόσβασης: https://zbmath.org/7820996
https://doi.org/10.1016/j.rinam.2024.100435
https://doaj.org/article/ae84d5093c4c47bd96b31405070d728e

Galerkin finite element methods for the generalized Klein–Gordon–Zakharov equations: Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations

Συγγραφείς: Yali Gao, Liquan Mei, Rui Li

Πηγή: Computers & Mathematics with Applications. 74:2466-2484

Θεματικοί όροι: Second-order quasilinear hyperbolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Klein-Gordon-Zakharov equations, Galerkin finite element method, time-splitting method, 01 natural sciences, finite difference method, Initial-boundary value problems for second-order hyperbolic systems, PDEs in connection with statistical mechanics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0898122117304571#!
https://dblp.uni-trier.de/db/journals/cma/cma74.html#GaoML17
https://www.sciencedirect.com/science/article/pii/S0898122117304571

Solving engineering models using hyperbolic matrix functions

Συγγραφείς: Defez Candel, Emilio, Sastre, Jorge, Ibáñez González, Jacinto Javier, Peinado Pinilla, Jesús

Συνεισφορές: Escuela Técnica Superior de Ingeniería de Telecomunicación, Departamento de Sistemas Informáticos y Computación, Departamento de Matemática Aplicada, Departamento de Comunicaciones, Instituto Universitario de Telecomunicación y Aplicaciones Multimedia, Instituto Universitario de Matemática Multidisciplinar, Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos, Escuela Técnica Superior de Ingeniería Informática, Instituto de Instrumentación para Imagen Molecular, Ministerio de Economía y Competitividad, Repositorio Institucional de la Universitat Politècnica de València Riunet

Πηγή: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)
instname

Θεματικοί όροι: Numerical computation of matrix exponential and similar matrix functions, hyperbolic matrix functions, Hyperbolic matrix functions, Hermite matrix polynomial, 01 natural sciences, Initial-boundary value problems for second-order hyperbolic systems, Matrix exponential and similar functions of matrices, TEORIA DE LA SEÑAL Y COMUNICACIONES, CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL, Series expansion, 0101 mathematics, MATEMATICA APLICADA, LENGUAJES Y SISTEMAS INFORMATICOS, series expansion

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: https://riunet.upv.es/handle/10251/84125
http://www.sciencedirect.com/science/article/pii/S0307904X15005843
https://www.sciencedirect.com/science/article/abs/pii/S0307904X15005843
https://riunet.upv.es/handle/10251/84125
https://www.sciencedirect.com/science/article/pii/S0307904X15005843
https://hdl.handle.net/10251/84125
https://doi.org/10.1016/j.apm.2015.09.050

Thermoelastic Timoshenko system free of second spectrum

Συγγραφείς: Tijani A. Apalara, Carlos A. Raposo, Aminat Ige

Πηγή: Applied Mathematics Letters. 126:107793

Θεματικοί όροι: Initial-boundary value problems for systems of linear higher-order PDEs, 0203 mechanical engineering, Asymptotic behavior of solutions to PDEs, truncated thermoelastic Timoshenko system, uniform stability, parabolic-hyperbolic system, 02 engineering and technology, 0101 mathematics, 01 natural sciences, second spectrum, Initial-boundary value problems for second-order hyperbolic systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7478988
https://doi.org/10.1016/j.aml.2021.107793
https://www.sciencedirect.com/science/article/pii/S0893965921004286

On a nonlinear generalized thermoelastic system with obstacle

Συγγραφείς: Oliveira, M.L., Clark, M.R., Marinho, A.O.

Πηγή: Adv. Differential Equations 17, no. 1/2 (2012), 75-103

Θεματικοί όροι: global existence, Thermal effects in solid mechanics, Second-order semilinear hyperbolic equations, Asymptotic behavior of solutions to PDEs, contact problem, 35L55, Signorini's conditions, exponential decay, penalty term, Contact in solid mechanics, Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators, Initial-boundary value problems for second-order hyperbolic systems, unilateral boundary conditions

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/6011062
http://projecteuclid.org/euclid.ade/1355703098

Quasilineare Differentialgleichungen zweiter Ordnung vom hyperbolischen Typus. Gemischte Randwertaufgaben

Συγγραφείς: Mirosław Krzyżański, Juliusz Paweł Schauder

Πηγή: Studia Mathematica. 6:162-189

Θεματικοί όροι: quasilinear differential equations of hyperbolic type, Second-order quasilinear hyperbolic equations, mixed boundary conditions, Initial-boundary value problems for second-order hyperbolic systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/93361?download.pdf
https://zbmath.org/3027679
https://doi.org/10.4064/sm-6-1-162-189
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-smv6i1p17bwm