논문KCI 등재
Existence of quasi-stationary Stokes flow in a dihedral domain
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
We study quasi-stationary Stokes flow in a dihedral domain arisingfrom a study of a free boundary problem of viscous fluid in acontainer. We construct an exact solution of quasi-stationaryStokes equations and derive its estimates with norm in a weightedSobolev spaces.
참고문헌 (18)
- M. Abramowitz, "Handbook ofMathematical functions with formulas" (1966)
- M. G"unther, "Existence results for thequasistationary motion of a free capillary liquid drop", 16(2), pp.311~348 (1997)
- V. A. Kondrat'ev, "Boundary value problems for ellipticequations in domains with conical or angular points", 16, pp.209~ (1967)
- A. I. Markuv seviv, "Theory of analytic function English transl. of 1st ed. it Theorey of functions of a complex variables}", 2 (1967)
- V. V. Pukhnachev, "On theproblem of dynamic contact angle translated from Prikl. Mat. Mekh.", pp.771 961~ (1983)
- "On the free surface of a viscous fluid motion", 349(1657), pp.183~ (1976)
- "The solvability of a free boundary problem for the stationaryNavier-Stokes equations with a dynamic contact line", 21(10), pp.763~ (1993)
- "On a free boundary problem for the stationary Navier-Stokesequations with a dynamic contact line . Lecture Notes in Math. 1530", pp.17~ (1992)
- "Solvability of the problem of the plane motion ofa heavy viscous incompressible capillary fluid that partially fillsa certain vessel", pp.203 239~ (1979)
- "Solvability of two stationary free boundary problemsfor the Navier-Stokes equations", 8(1), pp.283~342 (1998)
- "Solvability of two-dimensional free boundary problemfor the Navier-Stokes equations for limiting values of contactangle", 2, pp.163~210 (1998), Arance, Rome
- "On the Stokes equations in domains with nonsmooth boundariesand on viscous incompressible flow with a free surface Research Notes in Mathematics", in iii(nlinear partial differential equations and theirapplications), pp.340~ (1982)
- "On the problem of a movingcontact angle", pp.107~137 (1998), Springer, New York
- "On some free boundary problems for the Navier-stokes equationswith moving contact points and lines", 302(4), pp.743~772 (1995)
- "Free boundary problems for the Navier-Stokes equations withmoving contact point", 323, pp.203~214 (1995)
- "On the justification of the quasistationary approximation in the problem of motion of viscous capillary drop", 1(2), pp.125~173 (1999)
- "On a problem with the third boundary condition for theLaplace equation in a plane angle", pp.891~ (1991)
- "Navier-Stokes equations inirregular domains, Mathematics and its applications" (1995), KluwerAcademic Publishers Group
관련 논문AI추천
On a vorticity minimization problem for the stationary 2D Stokes equations권오근, 김홍철대한수학회 · 대한수학회지2006 · 제43권 제1호Temporal and spatial decay rates of Navier-Stokes solutions in exterior domains배형옥, 진범자대한수학회 · 대한수학회보2007 · 제44권 제3호The Global Attractor of the 2D g-Navier-Stokes Equations on some unbounded domains권혁진, 노재옥대한수학회 · 대한수학회논문집2005 · 제20권 제4호Spatial decay bounds for a temperature dependent Stokes flow송종철대한수학회 · 대한수학회지2012 · 제49권 제6호Analyticity for the Stokes Operator in Besov spaces배형옥대한수학회 · 대한수학회지2003 · 제40권 제6호Regularity of weak solutions of the compressible Navier-Stokes equations진범자, 최희준대한수학회 · 대한수학회지2003 · 제40권 제6호
이 간행물의 다른 논문 (13건)
Exotic smooth structure on $\Bbb {CP}^2\sharp 13 \overline {\Bbb {CP}}^2$홍윤희, 조용승pp. 691-701The operational calculus for a measure-valued Dyson series류근식pp. 703-715Slant Submanifolds of an Almost Product Riemannian ManifoldBayram Sahinpp. 717-732Stable vector bundles of rank two on Enriques surfaces김호일pp. 765-782Non-triviality of two homotopy elements in $\pi_{\ast}S$Xiugui Liupp. 783-801
