Results 31 to 40 of about 9,396 (291)
Uniqueness of limit flow for a class of quasi-linear parabolic equations
Advances in Nonlinear Analysis, 2017 We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity ...
Squassina Marco, Watanabe Tatsuya
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Zero-energy bound state decay for non-local Schrödinger operators [PDF]
, 2019 We consider solutions of the eigenvalue equation at zero energy for a class of non-local Schrödinger operators with potentials decreasing to zero at infinity.
Jozsef Lorinczi (1258137) +1 more
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On Unique Continuation for Navier-Stokes Equations
Abstract and Applied Analysis, 2015 We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable ...
Zhiwen Duan, Shuxia Han, Peipei Sun
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Infinite memory effects on the stabilization of a biharmonic Schrödinger equation
Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper deals with the stabilization of the linear biharmonic Schrödinger equation in an $n$-dimensional open bounded domain under Dirichlet–Neumann boundary conditions considering three infinite memory terms as damping mechanisms.
Roberto de A. Capistrano-Filho +2 more
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A general method for proving sharp energy decay rates for memory-dissipative evolution equations [PDF]
, 2009 This Note is concerned with stabilization of hyperbolic systems by a distributed memory feedback. We present here a general method which gives energy decay rates in terms of the asymptotic behavior of the kernel at infinity.
ALABAU BOUSSOUIRA, F +6 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
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On the Behaviour at Infinity of Solutions to Nonlocal Parabolic Type Problems
Известия Иркутского государственного университета: Серия "Математика", 2019 The paper deals with possible behaviour at infinity of solutions to the Cauchy problem for a parabolic type equation whose elliptic part is the generator of a Markov jump process , i.e. a nonlocal diffusion operator.
Е. А. Zhizhina, А. L. Piatnitski
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Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
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Infinite propagation speed and asymptotic behavior for a generalized Camassa-Holm equation
上海师范大学学报. 自然科学版, 2018 This paper is devoted to the Cauchy problem for a generalized Camassa-Holm equation. First, we prove that the solution u(x, t) to the generalized Camassa-Holm equation with compactly supported initial data u0(x) instantly loses compact support.
Cui Wenjun, Han Lijia, Wang Duan
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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