Results 41 to 50 of about 289 (126)
Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three [PDF]
, 2005 2000 Mathematics Subject Classification: 35L15, 35B40, 47F05.We prove dispersive estimates for solutions to the wave equation with a real-valued potential ...
Cardoso, Fernando +2 more
core
Interpolation between the isoperimetric ratio and curvature for plane curves and an application to curvature flows with non-local terms [PDF]
, 2019 埼玉大学博士(理学)47 p.Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoperimetric ratio.
中村, 恒平 +1 more
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Energy Decay of the Schrödinger Equation Under Internal Fractional Integral Damping
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we investigate the stabilization and energy decay properties of a Schrödinger equation with an internal fractional integral damping term. By introducing an appropriate diffusive representation, the original problem is reformulated as an augmented system without memory.
Kheira Mekhalfi +6 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 935-955, 2004., 2004 We prove the global existence and study decay properties of the solutions to the wave equation with a weak nonlinear dissipative term by constructing a stable set in H1(ℝn).
Abbès Benaissa, Soufiane Mokeddem
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we analyze the effect of geometric nonlinearity on stability results for extensible nonsymmetric two beams in a bounded domain. Two internal frictional dampings are present together with two fractional time delays. The equations describe a system consisting of two elastically coupled extensible beams, to which uniform damping terms and
Moncef Aouadi +4 more
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Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2035-2052, 2003., 2003 We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.
J. Límaco, H. R. Clark, L. A. Medeiros
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Anomalous pseudo-parabolic Kirchhoff-type dynamical model
Advances in Nonlinear Analysis, 2021 In this paper, we study an anomalous pseudo-parabolic Kirchhoff-type dynamical model aiming to reveal the control problem of the initial data on the dynamical behavior of the solution in dynamic control system. Firstly, the local existence of solution is
Dai Xiaoqiang +3 more
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Spatial Decay Estimates for a Class of Thermoelastic Plates
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study investigates the spatial characteristics of solutions for a class of thermoelastic plates governed by biharmonic operators within a semi‐infinite strip in two‐dimensional Euclidean space R2. The research begins with the derivation of an energy functional.
Jincheng Shi +2 more
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Open MathematicsIn this study, we consider a viscoelastic Shear beam model with no rotary inertia. Specifically, we study ρ1φtt−κ(φx+ψ)x+(g∗φxx)(t)=0,−bψxx+κ(φx+ψ)=0,\begin{array}{rcl}{\rho }_{1}{\varphi }_{tt}-\kappa {\left({\varphi }_{x}+\psi )}_{x}+\left(g\ast ...
Al-Mahdi Adel M.
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Open Mathematics, 2018 This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
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