期刊文献+

半空间MHD方程组弱解的L^2衰减 被引量:1

L^2 Decay for Weak Solutions of the MHD Equations in Half Space
下载PDF
导出
摘要 该文利用Stokes算子的谱表示及能量估计的方法研究半空间MHD方程组初边值问题弱解的L^2衰减. In this paper, the authors mainly study the decay rate for the weak solutions of the initial value and boundary value problem for the incompressible MHD equations in half spaces. The main tool is the spectral representation and the energy estimation.
作者 刘颖 李佳
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第4期1166-1175,共10页 Acta Mathematica Scientia
关键词 MHD方程 弱解 衰减率 MHD equations Weak solutions L2 decay rate.
  • 相关文献

参考文献16

  • 1He C. Weighted energy inequalities for nonstationary Navier-Stokes equations. J Differential Equations, 1998, 148:422-444. 被引量:1
  • 2He C, Xin Z. On the decay properties of solutions to the non-stationary Navier-Stokes equations in R3. Proc Roy Soc Edinburgh Sect A, 2001, 131:597-619. 被引量:1
  • 3Bae H, Choe H J. Decay rate for the incompressible flows in half spaces. Math Z, 2001, 238:799-816. 被引量:1
  • 4Bae H O, Jin B J. Temporal and spatial decays for the Navier-Stokes equations. Proc Royal Soc Edinburgh (Sect A), 2005, 135:461-477. 被引量:1
  • 5Bae H O, Jin B J. Upper and Lower bounds of temporal and spatial decays for the Navier-Stokes equations. J Differential Equations, 2005, 209:365- 391. 被引量:1
  • 6Sohr H. The Navier-Stokes Equations: an Elementary Funcational Analytic Approach. Bosron, Basel, Berlin: Birkhauser, 2001. 被引量:1
  • 7Leray J. Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math, 1934, 63:193-248. 被引量:1
  • 8Schonbek M E. L^2 decay for weak solutions of the Navier-Stokes equations. Arch Rat Mech Anal, 1985, 88:209-222. 被引量:1
  • 9Schonbek M E. Lower boundes of rates of decay for solutions to the Navier-Stokes equations. J Amer Math Soc, 1991, 4(3): 809 823. 被引量:1
  • 10Schonbek M E, Schonbek T P, Endre Siili. Large-time behaviour of solutions to the magneto-hydrodynamics equations. Math Ann, 1996, 304:717-756. 被引量:1

同被引文献11

  • 1DUVAUT G,LIONS J L.Inéquations en thermoélasticitéet magnétohydrodynamique[J].Arch Ration Mech Anal,1972,46(4):241-279. 被引量:1
  • 2ZHAO C,HE Y.Global Ln strong solutions to magnetohydrodynamics equations in the Rn space[J].Dyn Contin Discrete Impuls Syst Ser A Math Anal,2007,14(6):805-835. 被引量:1
  • 3LI Y,ZHAO C.Existence,uniqueness and decay properties of strong solutions to an evo-lutionary system of MHD type in R3[J].J Dyn Diff Eq,2006,18(2):393-462. 被引量:1
  • 4KATO T.Strong Lp solutions of the Navier-Stokes equations in Rm with applications to weak solutions[J].Math Z,1984,187(41):471-480. 被引量:1
  • 5SERMANGE M,TEMAM R.Some mathematical questions related to the MHD equations[J].Comm Pure Appl Math,1983,36(5):635-664. 被引量:1
  • 6AGAPITO R,SCHONBEK M.Non-uniform decay of MHD equations with and without magnetic diffusion[J].Comm Part Diff Eq,2007,32(11):1791-1812. 被引量:1
  • 7GUO B,ZHANG L.Decay of solutions to magnetohydrodynamics equations in two space dimensions[J].Pro R Soc Lond Ser A Math Phys Eng Sci,1995,449(1935):79-91. 被引量:1
  • 8OKABE T.Lower bound of L2 decay of the Navier-Stokes flow in the half-space Rn+and its asymptotic behavior in the frequency space[J].J Math Anal Appl,2013,401(2):534-547. 被引量:1
  • 9SCHONBEK M E,SCHONBEK T P,SLI E.Large-time behaviour of solutions to the magnetohydrodynamics equations[J].Math Ann,1996,304(1):717-756. 被引量:1
  • 10UKAI S.A solution formula for the Stokes equation in Rn+[J].Comm Pure Appl Math,1987,40(5):611-621. 被引量:1

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部