Results 11 to 20 of about 118 (113)
The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded [PDF]
Fundamental ResearchAlinhac solved a long-standing open problem in 2001 and established that quasilinear wave equations in two space dimensions with quadratic null nonlinearities admit global-in-time solutions, provided that the initial data are compactly supported and ...
Shijie Dong +2 more
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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
wiley +1 more source
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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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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On a strongly damped semilinear wave equation with time-varying source and singular dissipation
Advances in Nonlinear Analysis, 2022 This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation with time-varying source and singular dissipative terms under the null Dirichlet boundary condition.
Yang Yi, Fang Zhong Bo
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Advanced Nonlinear Studies, 2022 The Chaplygin gas model is both interesting and important in the theory of gas dynamics and conservation laws, all the characteristic families of which are linearly degenerate. Majda conjectured that the shock formation never happens for smooth data.
Wei Dongyi, Zhang Zhifei, Zhao Wenbin
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