Paralinearization of the Dirichlet-Neumann operator and applications to progressive gravity waves Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010
Paralinearization of the Dirichlet-Neumann operator and applications to progressive gravity waves Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010
参考文献29
-
1Alazard T, Burq N, Zuily C. On the water waves equations with surface tension. Duke Math J, 2011, 158:413-499.
-
2Alazard T, Burq N, Zuily C. Strichartz estimates for water waves. Ann Sci Ecole Norm Sup (4), 2011, 44:855-903.
-
3Alazard T, Burq N, Zuily C. On the cauehy problem for water gravity waves. Preprint, 2011.
-
4Alazard T, Metivier G. Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves. Comm Partial Differential Equations, 2009, 34:1632-1704.
-
5Alinhac S. Paracomposition et operateurs paradifferentiels. Comm Partial Differential Equations, 1986, 11:87-121.
-
6Alvarez-Samaniego B, Lannes D. Large time existence for 3D water-waves and asymptotics. Invent Math, 2008, 171: 485-541.
-
7Benzoni-Gavage S, Serre D. Multidimensional hyperbolic partial differential equations: first-order systems and applications. Oxford: Oxford University Press, 2007.
-
8Bona J L, Lannes D, Saut J-C. Asymptotic models for internal waves. J Math Pure Appl, 2008, 89:538-566.
-
9Bony J-M. Calcul symbolique et propagation des singularites pour les equations aux derivees partielles non lineaires. Ann Sci Ecole Norm Sup (4), 1981, 14:209-246.
-
10Craig W, Nicholls D P. Travelling two and three dimensional capillary gravity water waves (electronic). SIAM J Math Anal, 2000, 32:323-359.
-
1DANCHIN Raphaeel.A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010[J].Science China Mathematics,2012,55(1):245-275.
-
2ALAZARD Thomas.Paralinearization of the Dirichlet-Neumann operator and applications to progressive gravity waves[J].Science China Mathematics,2012,55(2):207-220.
-
3胡令雄,李德宜.奇异非线性二阶诺伊曼边值问题正解个数的研究[J].数学杂志,2013,33(5):929-934.
-
4冯海冉.分子振动纠缠的李代数方法[J].济宁学院学报,2011,32(6):14-16.
-
5LI Dong,ZHANG XiaoYi.On the rigidity of solitary mass-critical NLS in waves for the focusing dimensions d ≥2 Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010[J].Science China Mathematics,2012,55(1):385-434.
-
6HE Cheng,HUANG FeiMin,YONG Yan.Stability of planar diffusion wave for nonlinear evolution equation Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010[J].Science China Mathematics,2012,55(1):337-352. 被引量：3
-
7BOURDARIAS Christian,ERSOY Mehmet,GERBI Stephane.A mathematical model in closed for unsteady mixed flows water pipes Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010[J].Science China Mathematics,2012,55(1):221-244.
-
8OLIVIER Julien.Large shear rate behavior for the Hebraud-Lequeux model Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010[J].Science China Mathematics,2012,55(1):435-452.
-
9Anqing(Elliott) XUAN,Bingqing DENG,Tao CAO,Lian SHEN.Numerical study on the effects of progressive gravity waves on turbulence[J].Journal of Hydrodynamics,2016,28(6):1011-1017.
-
10GIOVANGIGLI Vincent.Multicomponent flow modeling Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010[J].Science China Mathematics,2012,55(1):285-308.
