Results 251 to 260 of about 1,283,435 (290)

Elliptic systems in exterior domains

ANNALI DELL UNIVERSITA DI FERRARA, 1996
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STARITA, Giulio, BENOUAR N.
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On a Helmholtz Style Decomposition for an Exterior Domain

SIAM Journal on Mathematical Analysis, 2014
In this paper we prove a variant of the usual Helmholtz decomposition for an exterior domain $\Omega$. The main difference is that in the decomposition $h=\nabla f+v$ for $h\in L^p(\Omega)$, with $\nabla f,v\in L^p(\Omega)^n$, div$v=0$, we assume that $f$, not $v$, vanishes on the boundary of the domain.
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Navier- Stokes approximations in exterior domains

Nonlinear Analysis: Theory, Methods & Applications, 1997
This paper considers the initial-boundary value problem, in an exterior domain, for the nonstationary Navier-Stokes equations, in the case of an incompressible fluid. The solution is approximated by Rothe's method, that is by a first order semidiscrete approximation scheme.
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Antimaximum principle in exterior domains

Nonlinear Analysis, 2016
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Anoop, T. V., Drábek, P., Sankar, Lakshmi, Sasi, Sarath   +3 more
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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
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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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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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Shape Optimization of an Elliptic Equation in an Exterior Domain

SIAM Journal on Control and Optimization, 2006
This work concerns the shape optimization problem governed by some elliptic equations in exterior domains. The existence of optimal solutions is obtained and the so-called $\stackrel{\wedge}{\Gamma}$-property for a family ${\cal O}$ of open subsets is established; i.e., if $\Omega_m, \Omega\in {\cal O}$ are such that $\Omega_m\ra \Omega$ in the ...
Gengsheng Wang, Lijuan Wang, Donghui Yang   +2 more
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