HYPERBOLIC

作品数:521被引量:498H指数:9
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相关领域:理学更多>>
相关作者:曾文平孙大洋刘炳日王爱民刘衍珩更多>>
相关机构:福州大学华侨大学吉林大学沈阳工业大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金福建省自然科学基金更多>>
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STABILIZATION EFFECT OF FRICTIONS FOR TRANSONIC SHOCKS IN STEADY COMPRESSIBLE EULER FLOWS PASSING THREE-DIMENSIONAL DUCTS被引量:2
《Acta Mathematica Scientia》2020年第2期470-502,共33页Hairong YUAN Qin ZHAO 
This work was supported in part by National Nature Science Foundation of China(11371141 and 11871218);by Science and Technology Commission of Shanghai Municipality(18dz2271000).
Transonic shocks play a pivotal role in designation of supersonic inlets and ramjets.For the three-dimensional steady non-isentropic compressible Euler system with frictions,we constructe a family of transonic shock s...
关键词:Stability transonic shocks Fanno flow THREE-DIMENSIONAL Euler system FRICTIONS decomposition nonlocal elliptic problem Venttsel boundary condition elliptic-hyperbolic mixed-composite tpe 
CONVEX MAPPINGS ASSOCIATED WITH THE ROPER-SUFFRIDGE EXTENSION OPERATOR
《Acta Mathematica Scientia》2019年第6期1619-1627,共9页Danli ZHANG Huiming XU Jianfei WANG 
partially supported by the National Natural Science Foundation of China(11671362,11571105);Beijing Municipal Natural Science Foundation(1182008);the Scientific Research Funds of Huaqiao University
Let λG(z)|dz| be the hyperbolic metric on a simply connected proper domain G?C containing the origin, and let ■be the Banach norms of Cnj for j = 1, 2,…,k.This note is to prove that if f is a normalized biholomor...
关键词:Roper-Suffridge OPERATOR CONVEX MAPPING HYPERBOLIC METRIC 
CONVERGENCE RATES TO NONLINEAR DIFFUSIVE WAVES FOR SOLUTIONS TO NONLINEAR HYPERBOLIC SYSTEM
《Acta Mathematica Scientia》2019年第1期46-56,共11页Shifeng GENG Yanjuan TANG 
supported by the National Natural Science Foundation of China(11701489,11871412);the Hunan Provincial Natural Science Foundation of China(2018JJ2373,2018JJ3481)
This article is involved with the asymptotic behavior of solutions for nonlinear hyperbolic system with external friction. The global existence of classical solutions is proven,and L^p convergence rates are obtained. ...
关键词:CONVERGENCE rates NONLINEAR diffusion WAVES NONLINEAR HYPERBOLIC system EXTERNAL friction 
SELF-SIMILAR SOLUTIONS TO THE HYPERBOLIC MEAN CURVATURE FLOW被引量:2
《Acta Mathematica Scientia》2017年第3期657-667,共11页何春蕾 黄守军 邢晓敏 
supported in part by a grant from China Scholarship Council;the National Natural Science Foundation of China(11301006);the Anhui Provincial Natural Science Foundation(1408085MA01)
This article concerns the self-similar solutions to the hyperbolic mean curvature flow (HMCF) for plane curves, which is proposed by Kong, Liu, and Wang and relates to an earlier proposal for general flows by LeFloc...
关键词:Hyperbolic mean curvature flow self-similar solutions CURVATURE 
TIME DECAY RATE OF SOLUTIONS TO THE HYPERBOLIC MHD EQUATIONS IN R3被引量:1
《Acta Mathematica Scientia》2016年第5期1369-1382,共14页李蓓 朱红锦 赵才地 
Supported by NSFC(11271290);GSPT of Zhejiang Province(2014R424062)
In this paper, we first show the global existence, uniqueness and regularity of weak solutions for the hyperbolic magnetohydrodynamics(MHD) equations in R^3. Then we establish that the solutions with initial data belo...
关键词:hyperbolic MHD equations weak solution time decay rate 
LOWER BOUNDS OF BLOW UP TIME FOR A SYSTEM OF SEMI-LINEAR HYPERBOLIC PETROVSKY EQUATIONS被引量:2
《Acta Mathematica Scientia》2016年第3期683-688,共6页Amir PEYRAVI 
Li et al. in [3] obtained blow-up results for a system of Petrovskey equations in some different cases. In this article we obtain lower bounds for the blow up time under some considerations on initial data.
关键词:lower bound blow up Petrovsky systems 
THE ASSOCIATED FAMILIES OF SEMI-HOMOGENEOUS COMPLETE HYPERBOLIC AFFINE SPHERES
《Acta Mathematica Scientia》2016年第3期765-781,共17页林至诚 王二小 
supported by the NSF of China(10941002,11001262);the Starting Fund for Distinguished Young Scholars of Wuhan Institute of Physics and Mathematics(O9S6031001)
Hildebrand classified all semi-homogeneous cones in R3 and computed their cor- responding complete hyperbolic affine spheres. We compute isothermal parametrizations for Hildebrand's new examples. After giving their a...
关键词:hyperbolic affine spheres isothermal coordinates Weierstrass elliptic functions Monge-Ampere equation Tzitzeica equation 
DIFFEOMORPHISMS WITH VARIOUS C^1 STABLE PROPERTIES
《Acta Mathematica Scientia》2012年第2期552-558,共7页田学廷 孙文祥 
supported by CAPES(Brazil);supported by National Natural Science Foundation(10671006,10831003);National Basic Research Program of China(973 Program)(2006CB805903)
Let M be a smooth compact manifold and A be a compact invariant set. In this article, we prove that, for every robustly transitive set A, flA satisfies a Cl-genericstable shadowable property (resp., Cl-generic-stable...
关键词:Specification property hyperbolic basic set topologically transitive shad-owing property 
DECAY OF POSITIVE WAVES OF HYPERBOLIC BALANCE LAWS
《Acta Mathematica Scientia》2012年第1期352-366,共15页Cleopatra Christoforou Konstantina Trivisa 
supported by the Start-Up fund from University of Cyprus;supported by the National Science Foundation under the grant DMS 1109397
Historically, decay rates have been used to provide quantitative and quali- tative information on the solutions to hyperbolic conservation laws. Quantitative results include the establishment of convergence rates for ...
关键词:hyperbolic conservation law total variation interaction potential Glimmfunctional spreading of rarefaction wave piecewise genuinely nonlinear nonclassical solution 
GLOBAL EXISTENCE,UNIQUENESS,AND STABILITY FOR A NONLINEAR HYPERBOLIC-PARABOLIC PROBLEM IN PULSE COMBUSTION
《Acta Mathematica Scientia》2012年第1期41-74,共34页Olga Terlyga Hamid Bellout Frederick Bloom 
A global existence theorem is established for an initial-boundary value prob- lem, with time-dependent boundary data, arising in a lumped parameter model of pulse combustion; the model in question gives rise to a nonl...
关键词:pulse combustion hyperbolic-parabolic system global existence REGULARITY 
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