Results 11 to 20 of about 5,663,167 (335)
Asymptotic behavior of the nonlinear Schrödinger equation on exterior domain [PDF]
Mathematical Research Letters, 2019 {\bf Abstract} \,\, We consider the following nonlinear Schr\"{o}dinger equation on exterior domain. \begin{equation} \begin{cases} iu_t+\Delta_g u + ia(x)u - |u|^{p-1}u = 0 \qquad (x,t) \in \Omega\times (0,+\infty), \qquad (1)\cr u\big|_\Gamma = 0\qquad
Zhen-Hu Ning
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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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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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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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Bifurcation of nodal radial solutions for a prescribed mean curvature problem on an exterior domain
Journal of Differential Equations, 2020 We investigate the existence and multiplicity of nodal radial solutions for a prescribed mean curvature problem on the exterior domain of a ball using the global bifurcation theory.
Rui Yang, Yong-Hoon Lee, Inbo Sim
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The L ∞-Stokes semigroup in exterior domains [PDF]
Journal of Evolution Equations, 2013 The Stokes semigroup on a bounded domain is an analytic semigroup on spaces of bounded functions as was recently shown by the authors based on an a priori L ∞-estimate for solutions to the linear Stokes equations. In this paper, we extend our approach to exterior domains and prove that the Stokes semigroup is uniquely extendable
ABE, KEN, GIGA, YOSHIKAZU
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Finite Time Blow-Up for Wave Equations with Strong Damping in an Exterior Domain [PDF]
Mediterranean Journal of Mathematics, 2018 We consider the initial boundary value problem in exterior domain for strongly damped wave equations with power-type nonlinearity |u|p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
A. Fino
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The Rot-Div System in Exterior Domains [PDF]
Journal of Mathematical Fluid Mechanics, 2014 Subject of the present paper is to analyze solutions to the classical elliptic system \(\operatorname{rot}v =f\), \(\operatorname{div} v=g\), in simply connected domains with bounded connected boundaries. The above problem is one of the most fundamental linear system in physics, e.g. in electromagnetism (the Maxwell equations) or fluid mechanics.
Mucha, Piotr B., Pokorný, Milan
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Finite time blowup of solutions to semilinear wave equation in an exterior domain [PDF]
Journal of Mathematical Analysis and Applications, 2018 We consider the initial-boundary value problem of semilinear wave equation with nonlinearity $|u|^p$ in exterior domain in $\mathbf{R}^N$ $(N\geq 3)$. Especially, the lifespan of blowup solutions with small initial data are studied.
M. Sobajima, Kyouhei Wakasa
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