GEVREY REGULARITY FOR SOLUTION OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION 被引量：6

GEVREY REGULARITY FOR SOLUTION OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION

下载PDF

导出

摘要 In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules case. In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules case.

作者陈化李维喜徐超江

机构地区 School of Mathematics and Statistics Université de Rouen

出处《Acta Mathematica Scientia》 SCIE CSCD 2009年第3期673-686,共14页 数学物理学报（B辑英文版）

基金 partially supported by the NSFC

关键词 Landau equation Gevrey regularity smoothness effect Landau equation Gevrey regularity smoothness effect

分类号 O175 [理学—基础数学]

引文网络
相关文献

参考文献19

1Alexandre R,Desvillettes L,Villani C,Wennberg B.Entropy dissipation and long-range interactions.Arch Rational Mech Anal,2000,152:327-355.
2Alexandre R,Safadi M.Littlewood Paley decomposition and regularity issues in Boltzmann equation homogeneous equations,I:Non-cutoff case and Maxwellian molecules.Math Models Methods Appl Sci,2005,15(6):907-920.
3Alexandre R,Ukai S,Morimoto Y,Xu C -J,Yang T.Uncertainty principle and regularity for Boltzmann equation.To appear in Journal of Functional Analysis.
4Chen H,Li W -X,Xu C -J.The Gevrey Hypoeilipticity for linear and non-linear Fokker-Planck equations.Journal of Differential Equations,2009,246:320-339.
5Chen H,Rodino L.General theory of PDE and Gevrey class.General theory of partial differential equations and microlocal analysis (Trieste 1995).Pitman Res Notes in Math Ser,349.Harlow:Longman,1996:6-81.
6Chen Y -M.Desvillettes L,He L -B.Smoothing effects for classic solutions of the full Landau equation.To appear in Arch Rational Mech Anal.
7Derridj M,Zuily C.Sur la régularité Gevrey des opérateurs de Hormander.J Math Pures et Appl,1973,52:309-336.
8Desvillettes L.On nsymptotics of the Boltzmann equation when the collisions become grazing.Transp Th Stat Phys,1992,21(3):259-276.
9Desvillettes L,Furioli G,Terraneo E.Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules.Preprint.
10Desvillettes L,Wennberg B.Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff.Comm Partial Differential Equations,2004,29(1/2):133-155.

同被引文献1

1Hao-Guang Li,Chao-Jiang Xu.The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials[J].Science China Mathematics,2022,65(10):2079-2098. 被引量：3

引证文献6

1李珂,魏红军.INFINITELY MANY SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS[J].Acta Mathematica Scientia,2011,31(5):1899-1910. 被引量：1
2Mohamed Najeme.PRECISE SMOOTHING EFFECTS OF HOMOGENEOUS LANDAU EQUATION IN SOBOLEV SPACES[J].Acta Mathematica Scientia,2012,32(3):1245-1254.
3程峰,李维喜,徐超江.GEVREY REGULARITY WITH WEIGHT FOR INCOMPRESSIBLE EULER EQUATION IN THE HALF PLANE[J].Acta Mathematica Scientia,2017,37(4):1115-1132. 被引量：1
4Hao-Guang Li,Chao-Jiang Xu.The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials[J].Science China Mathematics,2022,65(10):2079-2098. 被引量：3
5易焕龙,李浩光.线性中等软位势朗道方程的Gelfand-Shilov光滑效应[J].中南民族大学学报（自然科学版）,2023,42(3):420-424.
6XU Chaojiang,XU Yan.Analytic Smoothing Effect of the Time Variable for the Spatially Homogeneous Landau Equation[J].Journal of Partial Differential Equations,2024,37(1):88-103.

二级引证文献5

1宋巧珍,王立河,李东升.HLDER ESTIMATES FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS[J].Acta Mathematica Scientia,2013,33(4):1202-1218. 被引量：1
2易焕龙,李浩光.线性中等软位势朗道方程的Gelfand-Shilov光滑效应[J].中南民族大学学报（自然科学版）,2023,42(3):420-424.
3XU Chaojiang,XU Yan.Analytic Smoothing Effect of the Time Variable for the Spatially Homogeneous Landau Equation[J].Journal of Partial Differential Equations,2024,37(1):88-103.
4Chaojiang Xu,Yan Xu.A Remark about Time-Analyticity of the Linear Landau Equation with Soft Potential[J].Analysis in Theory and Applications,2024,40(1):22-37.
5Feng CHENG,Chao jiang XU.ANALYTICAL SMOOTHING EFFECT OF SOLUTION FOR THE BOUSSINESQ EQUATIONS[J].Acta Mathematica Scientia,2019,39(1):165-179. 被引量：1

1顾素萍,陈化,罗壮初.非正则奇异性偏微分方程组的形式解[J].数学杂志,2012,32(4):729-739.
2陈化.一类双曲型全特征算子的Cauchy问题的Gevrey类适定性[J].数学年刊（A辑）,1989,10(2):175-186.
3蔡明建,黄学英,罗壮初.具非正则奇异性的偏微分方程的形式解(Ⅱ)[J].数学杂志,2008,28(6):642-646.
4M.CICOGNANI,L.ZANGHIRATI.NONLINEAR HYPERBOLIC CAUCHY PROBLEMS IN GEVREY CLASSES[J].Chinese Annals of Mathematics,Series B,2001,22(4):417-426.
5陈化.关于全特征算子的若干问题[J].武汉大学学报（自然科学版）,1993(1):104-112.
6Fang Shaomei.GLOBAL ATTRACTOR FOR MIXED INITIAL BOUNDARY VALUE PROBLEM FOR SOME MULTIDIMENSIONAL GINZBERG-LANDAU EQUATIONS[J].Journal of Partial Differential Equations,2005,18(3):287-288.
7黄学英,蔡明建,罗壮初.非正则奇性全特征型偏微分方程的形式解(Ⅰ)[J].数学杂志,2008,28(1):109-112. 被引量：1
8刘双乾,刘红霞.OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE[J].Acta Mathematica Scientia,2012,32(5):1781-1804.
9Mohamed Najeme.PRECISE SMOOTHING EFFECTS OF HOMOGENEOUS LANDAU EQUATION IN SOBOLEV SPACES[J].Acta Mathematica Scientia,2012,32(3):1245-1254.
10LiDonglong,GuoBoling.EXISTENCE OF PERIODIC SOLUTIONS FOR 3-D COMPLEX GINZBERG-LANDAU EQUATION[J].Journal of Partial Differential Equations,2004,17(1):12-28.

Acta Mathematica Scientia

2009年第3期

浏览历史

内容加载中请稍等...

GEVREY REGULARITY FOR SOLUTION OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION 被引量：6

参考文献19

同被引文献1

引证文献6

二级引证文献5

相关作者

相关机构

相关主题

浏览历史