Results 31 to 40 of about 7,646,725 (219)
Boundary Value Problems, 2017 In this paper we consider the existence and general energy decay rate of global solution to the mixed problem for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions.
Jum-Ran Kang
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Mathematics, 2023 This article deals with a non-classical model, namely a thermoelastic laminated beam along with microtemperature effects, nonlinear delay, and nonlinear structural damping, where the last two terms both affect the equation which depicts the dynamics of ...
Hicham Saber +7 more
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General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms [PDF]
Boundary Value Problems, 2020 The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term.
S. Boulaaras +3 more
semanticscholar +1 more source
General equation for Zeno-like effects in spontaneous exponential decay [PDF]
Physics Letters A, V.260, No 6 (1999), P. 441-446, 1999 It was shown that different mechanisms of perturbation of spontaneous decay constant: inelastic interaction of emitted particles with particle detector, decay onto an unstable level, Rabi transition from the final state of decay (electromagnetic field domination) and some others are really the special kinds of one general effect - perturbation of decay
arxiv +1 more source
Performance analysis of control allocation using data‐driven integral quadratic constraints
Advanced Control for Applications, Volume 4, Issue 4, December 2022., 2022 Abstract A new method is presented for evaluating the performance of a nonlinear control allocation system within a linear control loop. To that end, a worst‐case gain analysis problem is formulated that can be readily solved by means of well‐established methods from robustness analysis using integral quadratic constraints (IQCs).
Manuel Pusch +2 more
wiley +1 more source
General decay for weak viscoelastic Kirchhoff plate equations with delay boundary conditions
Boundary Value Problems, 2017 We consider a weak viscoelastic Kirchhoff plate model with time-varying delay in the boundary. By using a suitable energy and Lyapunov function, we obtain a decay rate for the energy, which depends on the behavior of g and α.
Sun-Hye Park, Jum-Ran Kang
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Electronic Research Archive, 2020 In this paper, we consider a plate equation with nonlinear damping and logarithmic source term. By the contraction mapping principle, we establish the local existence.
Gongwei Liu
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Creep Characterization of Inconel 718 Lattice Metamaterials Manufactured by Laser Powder Bed Fusion
Advanced Engineering Materials, EarlyView., 2023 Herein, the creep characteristics of additively manufactured Inconel 718 metamaterials are investigated. The creep behavior of metamaterials and the effects of microstructural defects are assessed, and the microstructure defects are accurately captured using Kachanov's creep damage model.
Akash Singh Bhuwal +5 more
wiley +1 more source
A Variational Beam Model for Failure of Cellular and Truss‐Based Architected Materials
Advanced Engineering Materials, EarlyView., 2023 Herein, a versatile and efficient beam modeling framework is developed to predict the nonlinear response and failure of cellular, truss‐based, and woven architected materials. It enables the exploration of their design space and the optimization of their mechanical behavior in the nonlinear regime. A variational formulation of a beam model is presented
Konstantinos Karapiperis +3 more
wiley +1 more source
AIMS Mathematics, 2021 In this paper, we consider the following viscoelastic problem with variable exponent and logarithmic nonlinearities: $ u_{tt}-\Delta u+u+ \int_0^tb(t-s)\Delta u(s)ds+|u_t|^{{\gamma}(\cdot)-2}u_t = u\ln{\vert u\vert^{\alpha}}, $ where $ {\gamma}(.)
Mohammad M. Al-Gharabli +2 more
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