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一类粘性逼近方程局部解的存在性 被引量：1

The Existence for a Viscosity Approximation Equation’s Local Solutions
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摘要 考虑了一类粘性逼近方程局部解的存在性问题,利用这一结论和典型的粘性系数消失法,可以去探讨一类双曲与椭圆耦合系统解的适定性问题. We study the local solutions for a viscosity approximation equation. We can obtain the wellposedhess for a hyperbolic-elliptic coupled system＇s solutions by means of this conclusion, if we use the classical vanishing viscosity as our tools.
作者 杨丽 张毅
机构地区 潍坊医学院公共教学部
出处 《临沂师范学院学报》 2008年第3期19-22,共4页 Journal of Linyi Teachers' College
关键词 守恒律方程 粘性系数消失法 不动点定理 scalar conservation laws the vanishing viscosity method the immovable point theorem
分类号 O357 [理学—流体力学]
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参考文献4

  • 1Kawashima S,,Nishibata S.Cauchy problem for a model system of the radiating gas:weak solutions with a jump and classical solutions[].Mathematical Methods in the Applied Sciences.1999
  • 2Kawashima S.Asymptotic behavior of solutions to a model system of radiating gas with discontinuous initial data[].Mathematical Methods in the Applied Sciences.2000
  • 3Kawashima, S,and Nishibata, S.Shock waves for a model system of the radiating gas[].SIAM Journal on Mathematical Analysis.1999
  • 4Kawashima S.Large-time behavior of solutions to hyperbolic-parabolic system of conservation laws and applications[].Proceedings of the Royal Society of Edinburgh.1987

同被引文献7

  • 1江泽坚 吴智泉.实变函数论[M].北京：高等教育出版社,1994..
  • 2KAWASHIMA S, NISHIBATA S. Shock waves for a model system of a radiating gas[J]. SlAM J Math Anal, 1999,17:95-117.
  • 3KAWASHIMA S,NISHIBATA SHOCK S. Cauchy problem for a model system of the radiating gas: weak solutions with a jump and classical solutions[J]. Math Models Methods Appl Sci, 1999,62:69-91.
  • 4KAWASHIMA S. Larger-time behavior of solution stohyperbolic-paraholic system of conservation laws and applications[J]. Proceeding of the Royalsociety of Edinburgh, 1987,106(A) :169-199.
  • 5HAMER K. Nonlinear effects on the propagation of sounds waves in a radiating gas[J]. Quarter Journ Meeh Appl Math, 1971, 24:155-168.
  • 6KAWASHIMA S, NISHIBATA S. Weak solutions withashockto amodelsystem ofthe radiating gas[J]. Sci Bull Josai Univ, 1998,5 : 119-130.
  • 7NISHIBATA S. Asymptotic behavior of solution stoamodel system of radiating gas with discontinuous initial data[J]. Math Models Met hods Appl Sci, 2000,10 : 1209-1231.

引证文献1

临沂师范学院学报
2008年 第3期

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