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Green Functions for Flow Velocity of Stationary Stokes Systems

최종근
영남수학회 (Youngnam Mathematical Society)|2021.01|East Asian Mathematical Journal|제37권 제1호|pp. 109-122

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참고문헌

키워드

Green functionstationary Stokes systemmeasurable coefficients
주제분류수학

초록

We establish existence and uniqueness of Green functions for flow velocity of stationary Stokes systems, under a continuity assumption of weak solutions to the system, in a bounded domain such that the divergence equation is solvable there. We also obtain pointwise bounds of the Green functions.

Abstract

We establish existence and uniqueness of Green functions for flow velocity of stationary Stokes systems, under a continuity assumption of weak solutions to the system, in a bounded domain such that the divergence equation is solvable there. We also obtain pointwise bounds of the Green functions.

참고문헌 (13)

  1. G. Acosta, "Solutions of the divergence operator on John domains", Adv. Math, 206(2), pp.373~401 (2006)
  2. J. Choi, "Green functions of conormal derivative problems for Stokes system", J. Math. Fluid Mech, 20(4), pp.1745~1769 (2018)
  3. J. Choi, "Estimates for Green functions of Stokes systems in two dimensional domains", J. Math. Anal. Appl, 471(1-2), pp.102~125 (2019)
  4. J. Choi, "Neumann functions for second order elliptic systems with measurable coefficients", Trans. Amer. Math. Soc, 365(12), pp.6283~6307 (2013)
  5. J. Choi, "Green’s functions for elliptic and parabolic systems with Robin-type boundary conditions", J. Funct. Anal, 267(9), pp.3205~3261 (2014)
  6. J. Choi, "The Green function for the Stokes system with measurable coefficients", Commun. Pure Appl. Anal, 16(6), pp.1989~2022 (2017)
  7. J. Choi, "Fundamental solutions for stationary Stokes systems with measurable coefficients", J. Differential Equations, 263(7), pp.3854~3893 (2017)
  8. H. Dong, "Weighted Lq-estimates for stationary Stokes system with partially BMO coefficients", J. Differential Equations, 264(7), pp.4603~4649 (2018)
  9. H. Dong, "Lq-estimates for stationary Stokes system with coefficients measurable in one direction", Bull. Math. Sci, 9(1), pp.1950004~ (2019)
  10. H. Dong, "Green’s matrices of second order elliptic systems with measurable coefficients in two dimensional domains", Trans. Amer. Math. Soc, 361(6), pp.3303~3323 (2009)
  11. M. Giaquinta, "Introduction to regularity theory for nonlinear elliptic systems, Lectures in Mathematics ETH Zurich" (1993), Birkhauser Verlag
  12. S. Hofmann, "The Green function estimates for strongly elliptic systems of second order", Manuscripta math, 124(2), pp.139~172 (2007)
  13. K. Kang, "Global pointwise estimates for Green’s matrix of second order elliptic systems", J. Differential Equations, 249(11), pp.2643~2662 (2010)

관련 논문AI추천

EXISTENCE OF GREEN FUNCTIONS FOR STOKES SYSTEMS WITH NEUMANN BOUNDARY CONDITIONS최종근영남수학회 · East Asian Mathematical Journal2023 · 제39권 제3호NOTE ON TWO-DIMENSIONAL GREEN FUNCTIONS OF CONORMAL DERIVATIVE PROBLEMS FOR STOKES SYSTEMS최종근영남수학회 · East Asian Mathematical Journal2025 · 제41권 제3호Spatial behavior of solution for the Stokes flow equationChanghao Lin, Wenhui Liao, Yan Liu대한수학회 · 대한수학회보2011 · 제48권 제2호Conormal derivative problem for elliptic equations in divergence form with partial Dini mean oscillation coefficients최종근강원경기수학회 · 한국수학논문집2020 · 제28권 제4호On the improved regularity criterion of the solutions to the Navier-Stokes equationsSadek Gala대한수학회 · 대한수학회논문집2020 · 제35권 제1호Gradient estimates for elliptic equations in divergence form with partial Dini mean oscillation coefficients김세익, 최종근, Kyungrok Lee대한수학회 · 대한수학회지2020 · 제57권 제6호

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