Geometry-Based Approximation of Waves in Complex Domains: Geometry-based approximation of waves in complex domains

Συγγραφείς: Davide Pradovera, Monica Nonino, Ilaria Perugia

Πηγή: SIAM Journal on Applied Mathematics. 85:224-248

Θεματικοί όροι: 101014 Numerical mathematics, scattering, geometrical theory of diffraction, wave propagation, Numerical Analysis (math.NA), 101014 Numerische Mathematik, 01 natural sciences, surrogate modeling, Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, Model reduction in optics and electromagnetic theory, FOS: Mathematics, Wave equation, 35L05, 35Q60, 65M25, 78A45, 78M34, Mathematics - Numerical Analysis, Initial-boundary value problems for second-order hyperbolic equations, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, Diffraction, scattering

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2301.13613
https://zbmath.org/8008453
https://doi.org/10.1137/23m1611300
https://ucrisportal.univie.ac.at/de/publications/a134d4c7-4109-4b86-9d30-4a7a723fe292

Long-term behavior for wave equation with nonlinear damping and super-cubic nonlinearity

Συγγραφείς: Liu, Cuncai, Meng, Fengjuan, Zhang, Chang

Πηγή: Discrete and Continuous Dynamical Systems - B. 30:3441-3456

Θεματικοί όροι: Asymptotic behavior of solutions to PDEs, regular solution, super-cubic nonlinearity, global attractor, Dynamical Systems (math.DS), Strichartz estimate, Mathematics - Analysis of PDEs, Second-order semilinear hyperbolic equations, FOS: Mathematics, Attractors, damped wave equation, Initial-boundary value problems for second-order hyperbolic equations, Mathematics - Dynamical Systems, 35B40, 35L20, 37L30, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, periodic boundary conditions, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2502.10774

On a Semilinear Wave Equation in Riemannian Geometric Setting with Memory Source Under the Nonlinear Boundary Feedback: On a semilinear wave equation in Riemannian geometric setting with memory source under the nonlinear boundary feedback

Συγγραφείς: Sheng-Jie Li, Shugen Chai

Πηγή: The Journal of Geometric Analysis. 35

Θεματικοί όροι: Riemannian geometry method, Second-order semilinear hyperbolic equations, PDEs on manifolds, Asymptotic behavior of solutions to PDEs, semilinear wave equation, variable coefficient, memory source term, Initial-boundary value problems for second-order hyperbolic equations

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Exponential stability of a coupling thermoelastic swelling porous system with Coleman–Gurtin heat flux: Exponential stability of a coupling thermoelastic swelling porous system with Coleman-Gurtin heat flux

Συγγραφείς: Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Tijani A. Apalara

Πηγή: SeMA Journal. 82:31-43

Θεματικοί όροι: infinite memory, Integro-partial differential equations, Thermal effects in solid mechanics, Control/observation systems governed by partial differential equations, Coleman-Gurtin law, energy method, exponential decay, Initial-boundary value problems for second-order hyperbolic equations, Exponential stability, swelling systems

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Σύνδεσμος πρόσβασης: https://zbmath.org/8015781
https://doi.org/10.1007/s40324-024-00357-5

Growth and blow-up of solutions for a viscoelastic wave equation with logarithmic source, fractional conditions, and non-linear boundary feedback

Συγγραφείς: Choucha, Abdelbaki, Boulaaras, Salah, Haiour, Mohamed, Shahrouzi, Mohammad, Jan, Rashid, Abdalla, Mohamed

Πηγή: Journal of Pseudo-Differential Operators and Applications. 16

Θεματικοί όροι: Asymptotic stability in control theory, Blow-up in context of PDEs, Integro-partial differential equations, fractional damping, time-varying delay, Second-order semilinear hyperbolic equations, Asymptotic behavior of solutions to PDEs, nonlinear equations, exponential growth, Initial-boundary value problems for second-order hyperbolic equations, logarithmic nonlinearity, blow-up, viscoelasticity

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Σύνδεσμος πρόσβασης: https://zbmath.org/8019798
https://doi.org/10.1007/s11868-025-00687-6

Blow-up of solutions to fractional quasilinear hyperbolic problem

Συγγραφείς: Vanterler da C. Sousa, J., Oliveira, D. S.

Πηγή: Analysis and Mathematical Physics. 15

Θεματικοί όροι: Blow-up in context of PDEs, fractional viscoelastic hyperbolic equation, energy estimate method, Second-order quasilinear hyperbolic equations, Initial-boundary value problems for second-order hyperbolic equations, high initial energy, Fractional partial differential equations

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Global well‐posedness of the variable‐order fractional wave equation with variable exponent nonlinearity: Global well-posedness of the variable-order fractional wave equation with variable exponent nonlinearity

Συγγραφείς: Lin, Qiang, Xu, Runzhang

Πηγή: Journal of the London Mathematical Society. 111

Θεματικοί όροι: Variational methods applied to PDEs, Second-order semilinear hyperbolic equations, supercritical initial energy, subcritical initial energy, Asymptotic behavior of solutions to PDEs, Initial-boundary value problems for second-order hyperbolic equations, critical initial energy, Fractional partial differential equations, potential well theory

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Σύνδεσμος πρόσβασης: https://zbmath.org/7989660
https://doi.org/10.1112/jlms.70091

Transport of Nonlinear Oscillations Along Rays that Graze a Convex Obstacle to any Order: Transport of nonlinear oscillations along rays that graze a convex obstacle to any order

Συγγραφείς: Wang, Jian, Williams, Mark

Πηγή: Annals of PDE. 11

Θεματικοί όροι: geometric optics, Mathematics - Differential Geometry, diffraction, FOS: Physical sciences, 35L20, Mathematical Physics (math-ph), Mathematics - Analysis of PDEs, Second-order semilinear hyperbolic equations, Differential Geometry (math.DG), Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Initial-boundary value problems for second-order hyperbolic equations, convex obstacles, low regularity, grazing set, Geometric optics, Mathematical Physics, reflected flow map, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2309.05910
https://zbmath.org/7996982
https://doi.org/10.1007/s40818-025-00195-2

On Linear Two-Point Inverse Problem for a Multidimensional Wave Equation with Semi-Nonlocal Boundary Conditions: On linear two-point inverse problem for a multidimensional wave equation with semi-nonlocal boundary conditions

Συγγραφείς: Dzhamalov, S. Z., Khudoykulov, Sh. Sh.

Πηγή: Lobachevskii Journal of Mathematics. 45:1059-1071

Θεματικοί όροι: Inverse problems for PDEs, methods of a priori estimates, sequence of approximations, linear two-point inverse problem, contracting mappings, Initial-boundary value problems for second-order hyperbolic equations, multi-dimensional wave equation, unique solvability of generalized solution, Galerkin's

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Σύνδεσμος πρόσβασης: https://zbmath.org/7896198
https://doi.org/10.1134/s1995080224600730

Energy decay of wave equations with infinite memory effects versus supercritical frictional dampings

Συγγραφείς: Menglan Liao

Πηγή: Ricerche di Matematica. 74:1037-1050

Θεματικοί όροι: Integro-partial differential equations, Asymptotic behavior of solutions to PDEs, supercritical nonlinearities, relaxation kernel, Initial-boundary value problems for second-order hyperbolic equations, energy decay, Stability in context of PDEs, viscoelasticity

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Stabilization of a weak viscoelastic wave equation in Riemannian geometric setting with an interior delay under nonlinear boundary dissipation

Συγγραφείς: Sheng-Jie Li, Shugen Chai, Irena Lasiecka

Πηγή: Nonlinear Analysis: Real World Applications. 84:104252

Θεματικοί όροι: Integro-partial differential equations, Riemannian geometry method, delay, variable coefficient, monotone operator theory, Partial functional-differential equations, Stabilization of systems by feedback, Faedo-Galerkin method, Initial-boundary value problems for second-order hyperbolic equations, weak viscoelastic wave equation, Stability in context of PDEs

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Local well-posedness of the minimum energy estimator for a defocusing cubic wave equation

Συγγραφείς: Schröder, Jesper

Πηγή: Journal of Differential Equations. 435:113258

Θεματικοί όροι: optimal control, Second-order semilinear hyperbolic equations, Optimization and Control (math.OC), cubic wave equation, nonlinear observer design, FOS: Mathematics, Dynamical Systems (math.DS), Initial-boundary value problems for second-order hyperbolic equations, Mathematics - Dynamical Systems, Observers, Mathematics - Optimization and Control, minimum energy estimation, Riccati equations

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2410.07010

Blow-up for a wave equation with Hartree-type nonlinearity

Συγγραφείς: Hang Ding, Jun Zhou

Πηγή: Nonlinearity. 38:055012

Θεματικοί όροι: Blow-up in context of PDEs, Integro-partial differential equations, Second-order semilinear hyperbolic equations, Hartree-type nonlinearity, wave equation, Initial-boundary value problems for second-order hyperbolic equations, blow-up

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Σύνδεσμος πρόσβασης: https://zbmath.org/8036740
https://doi.org/10.1088/1361-6544/adcb82

Uniqueness of identifying multiple parameters in a time-fractional Cattaneo equation

Συγγραφείς: Yun Zhang, Xiaoli Feng

Πηγή: Applied Mathematics Letters. 163:109438

Θεματικοί όροι: Inverse problems for PDEs, inverse problems, uniqueness, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, Initial-boundary value problems for second-order hyperbolic equations, Fractional partial differential equations, time-fractional Cattaneo equation

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Well Posedness and Exponential Stability of a Porous Elastic System Free of Second Spectrum: Well posedness and exponential stability of a porous elastic system free of second spectrum

Συγγραφείς: Afaf Ahmima, Abdelfeteh Fareh, Salim A. Messaoudi

Πηγή: Acta Applicandae Mathematicae. 191

Θεματικοί όροι: Thermal effects in solid mechanics, porous elasticity, well-posedness, Asymptotic behavior of solutions to PDEs, elliptic-hyperbolic system, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, exponential decay, Initial-boundary value problems for second-order hyperbolic equations, Exponential stability, second spectrum

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Σύνδεσμος πρόσβασης: https://zbmath.org/7873862
https://doi.org/10.1007/s10440-024-00661-2

Initial boundary value problem for a class of wave equations of Hartree type

Συγγραφείς: Hongwei Zhang, Xiao Su

Πηγή: Studies in Applied Mathematics. 149:798-814

Θεματικοί όροι: global existence, Integro-partial differential equations, Second-order semilinear hyperbolic equations, Hartree-type nonlinearity, wave-Hartree equation, Initial-boundary value problems for second-order hyperbolic equations, 0101 mathematics, 01 natural sciences, blow-up

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Σύνδεσμος πρόσβασης: https://zbmath.org/7778746
https://doi.org/10.1111/sapm.12521

Wave equation with nonlinear boundary dissipation and boundary/interior sources of critical exponents is asymptotically finite dimensional and smooth

Συγγραφείς: Han, Xiaoyue, Lasiecka, Irena, Qin, Yuming

Πηγή: Discrete and Continuous Dynamical Systems. 0:0-0

Θεματικοί όροι: regularity, Second-order semilinear hyperbolic equations, Asymptotic behavior of solutions to PDEs, wave equation, Initial-boundary value problems for second-order hyperbolic equations, General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations, Critical exponents in context of PDEs, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, quasi-stability, finite dimension, boundary dissipation

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Memory‐type boundary stabilization of a transmission problem for Kirchhoff wave equations: Memory-type boundary stabilization of a transmission problem for Kirchhoff wave equations

Συγγραφείς: Sheng Fan, Baowei Feng

Πηγή: Mathematical Methods in the Applied Sciences. 45:8179-8192

Θεματικοί όροι: Asymptotic stability in control theory, Integro-partial differential equations, integro-differential equation, transmission problem, Asymptotic behavior of solutions to PDEs, Stabilization of systems by feedback, wave equation, Initial-boundary value problems for second-order hyperbolic equations, 0101 mathematics, energy decay, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://zbmath.org/7775984
https://doi.org/10.1002/mma.8116

On the spectrum of a mixed-type operator with applications to rotating wave solutions

Συγγραφείς: Joel Kübler

Πηγή: Calculus of Variations and Partial Differential Equations. 62

Θεματικοί όροι: indefinite variational setting, Asymptotic distributions of eigenvalues in context of PDEs, Estimates of eigenvalues in context of PDEs, nonradial ground state, Symmetries, invariants, etc. in context of PDEs, Bessel functions, rotating wave solutions, Variational methods applied to PDEs, Mathematics - Analysis of PDEs, Variational methods involving nonlinear operators, Second-order semilinear hyperbolic equations, nonlinear wave equation, FOS: Mathematics, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Initial-boundary value problems for second-order hyperbolic equations, minimax characterization of the ground state energy, Periodic solutions to PDEs, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2204.05824

Reconstruction of kernel depending also on space variable

Συγγραφείς: Giorgi, Claudio, Guidetti, Davide

Πηγή: Mathematical Methods in the Applied Sciences. 41:4560-4588

Θεματικοί όροι: integro‐partial differential equation, inverse problems, initial‐boundary value problems for second‐order hyperbolic equations, inverse problems in linear viscoelasticity, 0101 mathematics, initial-boundary value problems for second-order hyperbolic equations, integro-partial differential equation, inverse problems, inverse problems in linear viscoelasticity, 01 natural sciences

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476
https://iris.unibs.it/handle/11379/513207
http://ui.adsabs.harvard.edu/abs/2018MMAS...41.4560G/abstract
https://hdl.handle.net/11585/677901
https://doi.org/10.1002/mma.4914
http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476