The approximation problems of solutions of the compressible fluid flow in an exterior domain [PDF]
Lietuvos Matematikos Rinkinys, 2002 The approximation of solutions of the three-dimensional steady compressible flow (linearized problem) in an exterior domain is studied. The formal error estimates are obtained.
Teresė Leonavičienė
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Stokes problem with several types of boundary conditions in an exterior domain [PDF]
Electronic Journal of Differential Equations, 2013 In this article, we solve the Stokes problem in an exterior domain of $\mathbb{R}^{3}$, with non-standard boundary conditions. Our approach uses weighted Sobolev spaces to prove the existence, uniqueness of weak and strong solutions.
Cherif Amrouche, Mohamed Meslameni
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Multiple solutions for a elliptic system in exterior domain [PDF]
Electronic Journal of Differential Equations, 2008 In this paper, we study the existence of solutions for the nonlinear elliptic system $$displaylines{ -Delta u+u=|u|^{p-1}u+lambda v quad hbox{in } Omega, cr -Delta v+v=|v|^{p-1}v+lambda u quad hbox{in } Omega, cr u=v=0 quad hbox{on ...
Xiaohui Yu, Jianfu Yang, Huijuan Gu
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Global Well-Posedness of 2D Euler-$\alpha$ Equations in Exterior Domain [PDF]
, 2021 After casting Euler-$\alpha$ equations into vorticity-stream function formula, we obtain some very useful estimates from the properties of the vorticity formula in exterior domain.
Zang, Aibin, You, Xiaoguang
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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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Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains
Mathematics, 2021 In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity.
Toshiaki Hishida
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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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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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Darboux Equations in Exterior Domains [PDF]
Methods and Applications of Analysis, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed
Mikhailov, SE +5 more
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