본문 바로가기
KERD
논문KCI 등재

EXISTENCE OF GREEN FUNCTIONS FOR STOKES SYSTEMS WITH NEUMANN BOUNDARY CONDITIONS

최종근
영남수학회 (Youngnam Mathematical Society)|2023.05|East Asian Mathematical Journal|제39권 제3호|pp. 305-317

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

Green functionstationary Stokes systemNeumann problem.
주제분류수학

초록

We establish the existence and uniqueness of Green functions in Lipschitz domains for stationary Stokes systems with Neumann boundary conditions. For the uniqueness, we impose a different normalization condition from that in Choi et al. ({\em J. Math. Fluid Mech.}, 20(4):1745--1769, 2018).

Abstract

We establish the existence and uniqueness of Green functions in Lipschitz domains for stationary Stokes systems with Neumann boundary conditions. For the uniqueness, we impose a different normalization condition from that in Choi et al. ({\em J. Math. Fluid Mech.}, 20(4):1745--1769, 2018).

참고문헌 (11)

  1. Gabriel Acosta, "Solutions of the divergence operator on John domains", Adv. Math, 206(2), pp.373~401 (2006)
  2. Michal Beneˇs, "Solutions to the Navier-Stokes equations with mixed boundary conditions in two-dimensional bounded domains", Math. Nachr, 289(2-3), pp.194~212 (2016)
  3. Jongkeun Choi, "Conormal derivative problems for stationary Stokes system in Sobolev spaces", Discrete Contin. Dyn. Syst, 38(5), pp.2349~2374 (2018)
  4. Jongkeun Choi, "Green functions of conormal derivative problems for Stokes system", J. Math. Fluid Mech., 20(4), pp.1745~1769 (2018)
  5. Jongkeun Choi, "Green’s function for second order parabolic systems with Neumann boundary condition", J. Differential Equations, 254(7), pp.2834~2860 (2013)
  6. Jongkeun Choi, "Neumann functions for second order elliptic systems with measurable coefficients", Trans. Amer. Math. Soc., 365(12), pp.6283~6307 (2013)
  7. Jongkeun Choi, "The Green function for the Stokes system with measurable coefficients", Commun. Pure Appl. Anal, 16(6), pp.1989~2022 (2017)
  8. Mariano Giaquinta, "Lectures in Mathematics ETH Z¨urich" (1993), Birkh¨auser Verlag
  9. Steve Hofmann, "The Green function estimates for strongly elliptic systems of second order", Manuscripta math., 124(2), pp.139~172 (2007)
  10. Stanislav Kraˇcmar, "A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions", Nonlinear Anal, 47(6), pp.4169~4180 (2001)
  11. Vladimir Gilelevich Maz’ya, "Pointwise estimates for Green’s kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone", Math. Nachr., 278(2005), pp.1766~1810 (2005)

관련 논문AI추천

NOTE ON TWO-DIMENSIONAL GREEN FUNCTIONS OF CONORMAL DERIVATIVE PROBLEMS FOR STOKES SYSTEMS최종근영남수학회 · East Asian Mathematical Journal2025 · 제41권 제3호Green Functions for Flow Velocity of Stationary Stokes Systems최종근영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호Regularity of solutions of 3D Navier-Stokes equations in a Lipschitz domain for small data곽민규, 김남권, 정효숙대한수학회 · 대한수학회보2013 · 제50권 제3호Local regularity criteria of the Navier-Stokes equations with slip boundary conditions강경근, 김명현, 배형옥대한수학회 · 대한수학회지2016 · 제53권 제3호Spatial behavior of solution for the Stokes flow equationChanghao Lin, Wenhui Liao, Yan Liu대한수학회 · 대한수학회보2011 · 제48권 제2호Existence of strong mild solution of the Navier-Stokes equations in the half space with nondecaying initial data배형옥, 진범자대한수학회 · 대한수학회지2012 · 제49권 제1호

이 간행물의 다른 논문 (9건)

QUADRATURE METHOD FOR EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS ARISING IN A THERMAL EXPLOSION THEORY고은경pp. 271-278A PARTITION OF q-COMMUTING MATRIX최은미pp. 279-290ANALYSIS OF THE SECURITY OF GENERIC HOMOMORPHIC AUTHENTICATED ENCRYPTION김진수pp. 291-298A NOTE ON THREE DERIVATIONS OF GREGORY-LEIBNIZ SERIES FOR π VIA A HYPERGEOMETRIC SERIES APPROACH임동규, Arjun K. Rathiepp. 299-303A BLOW-UP RESULT FOR A STOCHASTIC HIGHER-ORDER KIRCHHOFF-TYPE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS강용한pp. 319-329
원문 보기