Results 301 to 310 of about 5,663,167 (335)

Minimization problems for the exterior domain

Calculus of Variations and Partial Differential Equations, 1997
This paper contains a discussion on the existence of minimizers for \[ V(u)={1\over 2}\int_{\Omega } | \text{grad } u(x)| ^2dx +\int_{\Omega }F(u(x))dx \] subject to \[ I(u)=\int_{\Omega }G(u(x))dx =\lambda >0, \] where \(F(u)\) and \(G(u)\) are given functions and \(\Omega \) is the complement of a bounded domain in \({\mathbb{R}}^N\).
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Fractional Hardy–Hénon equations on exterior domains

Journal of Differential Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yimei, Bao, Jiguang
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Low Mach Number Limit on Exterior Domains

Acta Mathematica Scientia, 2012
This paper is concerned with the low Mach number limit for the compressible Navier-Stokes equations in an exterior domain. We present here an approach based on Strichartz estimate defined on a non trapping exterior domain and we will be able to show the compactness and strong convergence of the velocity vector field.
DONATELLI, DONATELLA, MARCATI, PIERANGELO   +1 more
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On the scattering frequencies of the laplace operator for exterior domains

Communications on Pure and Applied Mathematics, 1972
AbstractIn this paper we show that the so‐called scattering frequencies of the Laplace operator over an exterior domain, subject to Robin or Dirichlet boundary condition, cannot lie in certain portions of the upper half‐plane. The excluded sets depend only on the type of boundary condition and the radius of the smallest sphere containing the scattering
Lax, Peter D., Phillips, Ralph S.
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A Fictitious Domain Spectral Method for Solving the Helmholtz Equation in Exterior Domains

Journal of Scientific Computing, 2023
Yiqi Gu, Jie Shen
semanticscholar   +1 more source

On nonstationary Stokes problem in exterior domains

1997
Summary: The paper is concerned with \(L_p\)-estimates for solutions of the \(n\)-dimensional exterior Stokes problem. The main result of the paper are new \(L_p-L_q\) estimates \[ \begin{gathered} \bigl|v(t)\bigr |_q \leq C_1|v_0|_pt^{-\mu}, \tag{1}\\ \bigl|v_t(t) \bigr|_q\leq C_2 |v_0|_p t^{-\mu'}, \tag{2}\\ \bigl|\nabla v(t)\bigr|_q\leq C_3 |v_0|_p ...
MAREMONTI, Paolo, V. A. SOLONNIKOV
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Steady Stokes Flow in Exterior Domains

1994
In this chapter we shall analyse the Stokes problem in an exterior domain. Specifically, assuming that the region of flow Ω is a domain coinciding with the complement of a compact region (not necessarily connected) we wish to establish existence, uniqueness, and the validity of corresponding estimates for the velocity field v and the pressure field p ...
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S-shaped bifurcation diagrams in exterior domains

Positivity, 2019
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Chhetri, Maya, Drábek, Pavel, Shivaji, Ratnasingham   +2 more
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ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS

Analysis and Applications, 2006
In this paper, we prove existence and uniqueness results for the Oseen problem in exterior domains of ℝ3. To prescribe the growth or decay of functions at infinity, we set the problem in weighted Sobolev spaces. The analysis relies on a Lp-theory for any real p such that 1 < p < ∞.
Amrouche, Chérif, Razafison, Ulrich
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Boundary Stabilization of Stokes System in Exterior Domains

Journal of Mathematical Fluid Mechanics, 2016
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