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A TWO-DIMENSIONAL GLIMM TYPE SCHEME ON CAUCHY PROBLEM OF TWO-DIMENSIONAL SCALAR CONSERVATION LAW 认领 引用
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作者 阚辉 杨小舟 《Acta Mathematica Scientia》 SCIE CSCD 2017年第1期1-25,共25页
In this paper,we construct a new two-dimensional convergent scheme to solve Cauchy problem of following two-dimensional scalar conservation law{ tu ＋ xf（u） ＋ yg（u） = 0,u（x,y,0） = u0（x,y）.In which initial dat... In this paper,we construct a new two-dimensional convergent scheme to solve Cauchy problem of following two-dimensional scalar conservation law{ tu ＋ xf（u） ＋ yg（u） = 0,u（x,y,0） = u0（x,y）.In which initial data can be unbounded.Although the existence and uniqueness of the weak entropy solution are obtained,little is known about how to investigate two-dimensional or higher dimensional conservation law by the schemes based on wave interaction of 2D Riemann solutions and their estimation.So we construct such scheme in our paper and get some new results. 展开更多
关键词 two-dimensional conversation law two-dimensional Glimm type scheme Cauchyproblem
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On the limit behavior of the magnetic Zakharov system 认领 引用 被引量：2
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作者 HAN LiJia ZHANG JingJun +1 位作者 GAN ZaiHui GUO BoLing 《Science China Mathematics》 SCIE 2012年第3期509-540,共32页
In this paper,we prove that the solutions of magnetic Zakharov system converge to those of generalized Zakharov system in Sobolev space H s,s > 3/2,when parameter β→∞.Further,when parameter (α,β) →∞ together... In this paper,we prove that the solutions of magnetic Zakharov system converge to those of generalized Zakharov system in Sobolev space H s,s > 3/2,when parameter β→∞.Further,when parameter (α,β) →∞ together,we prove that the solutions of magnetic Zakharov system converge to those of Schro¨dinger equation with magnetic effect in Sobolev space H s,s > 3/2.Moreover,the convergence rate is also obtained. 展开更多
关键词 magnetic Zakharov system Zakharov system Schrodinger equation with magnetic effect Cauchyproblem limit behavior
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