Results 21 to 30 of about 258 (137)
General decay in a Timoshenko-type system with thermoelasticity with second sound
Advances in Nonlinear Analysis, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
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Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Advances in Nonlinear Analysis, 2023 In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry.
Jian Huaiyu, Wang Xianduo
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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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Anisotropic 𝑝-Laplacian Evolution of Fast Diffusion Type
Advanced Nonlinear Studies, 2021 We study an anisotropic, possibly non-homogeneous version of the evolution 𝑝-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive sharp L1L^{1}-L∞L^{\infty ...
Feo Filomena +2 more
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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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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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Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 521-538, 2003., 2003 We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.
Nikos Karachalios +2 more
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We investigate the initial value problem associated to the higher order nonlinear Schrödinger equation i∂tu+−1j+1∂x2ju=u2ju x,t≠0∈ℝ,ux,0=u0x, where j ≥ 2 is any integer, u is a complex valued function, and the initial data u0 is real analytic on ℝ and has a uniform radius of spatial analyticity σ0 in the space variable.
Tegegne Getachew +3 more
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Feedback stabilization of semilinear heat equations
Abstract and Applied Analysis, Volume 2003, Issue 12, Page 697-714, 2003., 2003 This paper is concerned with the internal and boundary stabilization of the steady‐state solutions to quasilinear heat equations via internal linear feedback controllers provided by an LQ control problem associated with the linearized equation.
V. Barbu, G. Wang
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