云南高校图书馆联盟文献共享服务平台- WELLPOSEDNESS

WELLPOSEDNESS: 作品数：13被引量：3H指数：1; 导出分析报告; 相关作者：程星更多>>; 相关机构：中国科学技术大学更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Science China Mathematics》《Journal of Partial Differential Equations》更多>>; 相关基金：国家自然科学基金福建省自然科学基金更多>>

On Local Wellposedness of the Schrodinger-Boussinesq System: 《Journal of Partial Differential Equations》2022年第4期360-381,共22页SHAO Jjie GUO Boling; In this paper we prove that the Schrodinger-Boussinesq system with solution(u,v,(-∂xx)-^(2/1)vt)is locally wellposed in H^(s)×H^(s)×Hs^(-1),s≥-1/4.The local wellposedness is obtained by the transformation from the ...; 关键词：Schrodinger-Boussinesq system Cauchy problem local wellposedness low regularity.

On the Cauchy problem and peakons of a two-component Novikov system被引量：1: 《Science China Mathematics》2020年第10期1965-1996,共32页Changzheng Qu Ying Fu; supported by National Natural Science Foundation of China(Grant Nos.11631007,11471174 and 11471259)。; We study a two-component Novikov system,which is integrable and can be viewed as a twocomponent generalization of the Novikov equation with cubic nonlinearity.The primary goal of this paper is to understand how multi-...; 关键词：two-component Novikov system Hamiltonian structure Camassa-Holm type equation WELLPOSEDNESS peaked soliton

Well-posedness of a non-local abstract Cauchy problem with a singular integral: 《Frontiers of Mathematics in China》2019年第1期77-93,共17页Haiyan JIANG Tiao LU Xiangjiang ZHU; National Natural Science Foundation of China (Grant Nos. 1167103& 91630130, 91434201, 11421101).; A non-local abstract Cauchy problem with a singular integral is studied, which is a closed system of two evolution equations for a real-valued function and a function-valued function. By proposing an appropriate Banac...; 关键词：Partial integro-differential EQUATION (PIDE) SINGULAR integral WELLPOSEDNESS WIGNER EQUATION

GLOBAL WELLPOSEDNESS OF MAGNETOHYDRODYNAMICS SYSTEM WITH TEMPERATURE-DEPENDENT VISCOSITY: 《Acta Mathematica Scientia》2018年第3期898-914,共17页Shibin SU Xiaokui ZHAO School of Mathematical Sciences Xiamen University; Supported by NNSFC(11271306);the Natural Science Foundation of Fujian Province of China(2015J01023);the Fundamental Research Funds for the Central Universities of Xiamen University(20720160012); The initial boundary value problem of the one-dimensional magneto-hydrodynamics system, when the viscosity, thermal conductivity, and magnetic diffusion coefficients are general smooth functions of temperature, is con...; 关键词：MHD system global well-posedness temperature-dependent viscosity

On the Local Wellposedness of Three-dimensional MHD System in the Critical Spaces: 《Acta Mathematicae Applicatae Sinica》2015年第3期607-622,共16页Zi-lai LI Mei WANG J.YANG; Supported by the National Natural Science Foundation of China 11331005,11201371,SRDPC20136101110015;supported by the Natural Science Foundation of shaanxi province 2012JQ1020; In this article, we prove the local wellposedness of Three-Dimensional incompressible magnetohydrodynamic system（MHD） with initial data in the critical spaces, without assumptions of small density variation.; 关键词：Magneto-hydrodynamics system Littlewood-Paley theory critical spaces

Wellposedness of some quasi-linear Schrdinger equations: 《Science China Mathematics》2015年第5期891-914,共24页CHEMIN Jean-Yves SALORT Delphine; This article is devoted to the study of a quasilinear Schrodinger equation coupled with an elliptic equation on the metric g. We first prove that, in this context, the propagation of regularity holds which ensures loc...; 关键词：quasilinear Schrodinger equation Strichartz estimates paradiffential calculus stationary phase method

Wellposedness for anisotropic rotating fluid equations: 《Applied Mathematics(A Journal of Chinese Universities)》2012年第1期9-33,共25页FANG Dao-yuan WANG Su-mei ZHANG Ting; Supported by NSFC(10871175,10931007,10901137);Zhejiang Provincial Natural Science Foundation of China(Z6100217);Program for New Century Excellent Talents in University; The weUposedness problem for an anisotropic incompressible viscous fluid in R3, ro- tating around a vector B（t, x）：= （b1 （t, x）, b2 （t, x）, b3 （t, x））, is studied. The global wellposedness in the homogeneo...; 关键词：the anisotropic Navier-Stokes-Coriolis equation WELLPOSEDNESS anisotropic.

Improved Local Wellposedness of Cauchy Problem for Generalized KdV-BO Equation: 《Journal of Mathematical Research and Exposition》2009年第2期371-375,共5页ZHAO Xiang Qing GUO Ai; the Natural Science Foundation of Zhejiang Province （No. Y6080388）; the Science and Technology Research Foundation of Zhejiang Ocean University （Nos. X08M014; X08Z04）.; In this paper we prove that the Cauchy problem associated with the generalized KdV-BO equation ut ＋ uxxx ＋ λH（uxx）＋ u^2ux = 0, x ∈ R, t ≥ 0 is locally wellposed in Hr^s（R） for 4/3 〈r≤2, b〉1/r and s≥s（...; 关键词：KdV-BO equation Cauchy problem local wellposedness.

On the local wellposedness of 3-D water wave problem with vorticity被引量：2: 《Science China Mathematics》2007年第8期1065-1077,共13页Ping ZHANG~1 Zhi-fei ZHANG~2 1 Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China 2 School of Mathematical Sciences,Peking University,Beijing 100871,China; the National Natural Science Foundation of China(Grant Nos.10525101,10421101 and 10601002);the innovation grant from Chinese Academy of Sciences; In this article, we first present an equivalent formulation of the free boundary problem to 3-D incompressible Euler equations, then we announce our local wellposedness result concerning the free boundary problem in S...; 关键词：WATER-WAVES free boundary incompressible Euler equations primary 35Q35 76B03 secondary 35J67 35L80

SOME DISCUSSIONS ON WELLPOSEDNESS OF THE EULER EQUATION: 《Annals of Differential Equations》2007年第2期127-130,共4页Chen Min; In this paper a new formulation for Euler equation is presented, the wellposedness for the new equation in Sobolev spaces is discussed.; 关键词：Euler equations WELLPOSEDNESS

WELLPOSEDNESS