Results 1 to 10 of about 32,096 (302)
A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain [PDF]
Mathematics, 2023 A Cauchy viscoelastic problem perturbed by an inverse-square potential, and posed in an exterior domain of RN, is considered under a Dirichlet boundary condition.
Bessem Samet, Calogero Vetro
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Parabolic Hessian Quotient Equation in Exterior Domain [PDF]
MathematicsThis study mainly focuses on the parabolic Hessian quotient equation in the exterior domain. The existence and uniqueness of generalized parabolically symmetric solutions with generalized asymptotic behavior are proven using Perron’s method.
Huawei Zhao, Limei Dai
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Advances in Nonlinear Analysis, 2021 We study the wave inequality with a Hardy ...
Jleli Mohamed +2 more
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Maximal Hypersurfaces over Exterior Domains [PDF]
Communications on Pure and Applied Mathematics, 2020 Exterior problems for the maximal surface equation are studied. We obtain the precise asymptotic behavior of the exterior solution at infinity. We also prove that the exterior Dirichlet problem is uniquely solvable for admissible boundary data and prescribed asymptotic behavior at infinity. © 2020 Wiley Periodicals LLC.
Hong, Guanghao, Yuan, Yu
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NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY
Acta Polytechnica, 2021 We consider the linearized and nonlinear systems describing the motion of incompressible flow around a rotating and translating rigid body Ɗ in the exterior domain Ω = ℝ3 \ Ɗ, where Ɗ ⊂ ℝ3 is open and bounded, with Lipschitz boundary.
Paul Deuring +2 more
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Hardy’s inequality on exterior domains [PDF]
Proceedings of the American Mathematical Society, 2005 Let \(\Omega\) be an unbounded domain of \(\mathbb R^N\) with a compact boundary of class \(C^2\) and let \(p>1\) be a real number. Denote \(\delta\,(x)= \text{dist}\,(x,\partial\Omega)\) and set \[ \mu_p(\Omega)=\inf\left\{\int_\Omega | \nabla u|^p;\;u\in {\mathcal D}_0^{1,p}(\Omega),\;\int_\Omega | u/\delta |^pdx=1\right\} \] and \(c_{p,N}=\min\left\{
Chabrowski, J., Willem, M.
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Journal of Rock Mechanics and Geotechnical Engineering, 2020 Analysis of soil-structure interaction is commonly conducted by dividing the infinite domain of the soil into two domains: interior and exterior domains.
Dong Van Nguyen, Dookie Kim
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On the Regularity of Weak Solutions to Time-Periodic Navier–Stokes Equations in Exterior Domains
Mathematics, 2022 Consider the time-periodic viscous incompressible fluid flow past a body with non-zero velocity at infinity. This article gives sufficient conditions such that weak solutions to this problem are smooth.
Thomas Eiter
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A general blow-up result for a degenerate hyperbolic inequality in an exterior domain
Bulletin of Mathematical Sciences, 2023 In this paper, we consider a degenerate hyperbolic inequality in an exterior domain under three types of boundary conditions: Dirichlet-type, Neumann-type, and Robin-type boundary conditions.
Mohamed Jleli +2 more
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Monge–Ampère equation on exterior domains [PDF]
Calculus of Variations and Partial Differential Equations, 2013 26 ...
Bao, Jiguang, Li, Haigang, Zhang, Lei
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