Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Boundary Value Problems, 2011 This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder.
Tahamtani Faramarz, Peyravi Amir
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Topological sensitivity based far-field detection of elastic inclusions
Results in Physics, 2018 The aim of this article is to present and rigorously analyze topological sensitivity based algorithms for detection of diametrically small inclusions in an isotropic homogeneous elastic formation using single and multiple measurements of the far-field ...
Tasawar Abbas +4 more
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Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping [PDF]
Boundary Value Problems, 2011 In this paper, we consider the system of nonlinear viscoelastic equations u t t - Δ u + ∫ 0 t g 1 ( t - τ ) Δ u ( τ ) d τ - Δ u t = f 1 ( u , v ) , ( x , t )
Liang Fei, Gao Hongjun
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Veterinary Dermatology, Volume 34, Issue 3, Page 235-245, June 2023., 2023 Background – Oral and parenteral drug delivery in horses can be difficult. Equine‐specific transdermal drug formulations offer improved ease of treatment; development of such formulations requires a deeper understanding of the structural and chemical tissue barrier of horse skin. Hypothesis/Objectives – To compare the structural composition and barrier
Samuel C. Bizley +3 more
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Global nonexistence of solutions to a logarithmic nonlinear wave equation with infinite memory and delay term [PDF]
, 2023 As a continuity to the study by M. Kafini [24], we consider a logarithmic nonlinear wave condition with delay term. We obtain a blow-up result of solutions under suitable conditions.
OUCHENANE, Djamel, BOUREGA, Abdeldjabar
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Analytic hypoellipticity of Keldysh operators
Proceedings of the London Mathematical Society, Volume 123, Issue 5, Page 498-516, November 2021., 2021 Abstract We consider Keldysh‐type operators, P=x1Dx12+a(x)Dx1+Q(x,Dx′), x=(x1,x′) with analytic coefficients, and with Q(x,Dx′) second order, principally real and elliptic in Dx′ for x near zero. We show that if Pu=f, u∈C∞, and f is analytic in a neighbourhood of 0, then u is analytic in a neighbourhood of 0.
Jeffrey Galkowski, Maciej Zworski
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Large gap asymptotics for the generating function of the sine point process
Proceedings of the London Mathematical Society, Volume 123, Issue 2, Page 103-152, August 2021., 2021 Abstract We consider the generating function of the sine point process on m consecutive intervals. It can be written as a Fredholm determinant with discontinuities, or equivalently as the convergent series ∑k1,…,km⩾0P∩j=1m#{pointsinthejthinterval}=kj∏j=1msjkj,where s1,…,sm∈[0,+∞). In particular, we can deduce from it joint probabilities of the counting
Christophe Charlier
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Exponential growth of solutions with L_p-norm of a nonlinear viscoelastic wave equation with strong damping and source and delay terms [PDF]
, 2023 In this work, we are concerned with a problem for a viscoelastic wave equation with strong damping, nonlinear source and delay terms. We show the exponential growth of solutions with Lₚ-norm. i.e.
OUCHENANE, Djamel +3 more
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Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021 Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo +2 more
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Decay rate of solutions to the Cauchy problem for a coupled system of a viscoelastic wave equations with a strong delay in Rⁿ [PDF]
, 2023 Using weighted spaces, we establish a general decay rate properties of solutions as T→∞ for a coupled system of a viscoelastic wave equations in Rn under some conditions on g1, g2, ϕ.
BELHADJI, Bochra +2 more
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