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In this paper, we consider the following initial problem of semilinear Stokes equations with the existence of global solutions obtained 相似文献
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This paper gives some global existence results of the superlinear conservation law with viscosity. 相似文献
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In this paper we consider a kind of exterior transmission problem in which the refractive index n(x) is a piecewise positive constant. Through establishing an equivalent boundary integral system, we obtain that the set of exterior transmission eigenvalues is a discrete set. Furthermore, we prove that there does not exist a transmission eigenvalue under some conditions. 相似文献
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该文讨论半平面上有局部扰动情况下的散射问题．通过位势理论,应用边界积分方程的方法研究了该问题解的存在与唯一性．主要方法是运用对称反射,使该无界区域上的散射问题变成一个有界区域上的散射问题,只是这一有界区域的边界不光滑．通过仔细分析相应的边界积分算子,作者得到了其解的存在与唯一性． 相似文献
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严国政 《数学物理学报(B辑英文版)》1997,(1)
1IntroductionInthispapertweconsiderthefollowingsystemswithinitialvaluewhereu=(tLt,'',Wi),F=(FI,'.',Fn),t20,--co0,thereisasolutionu(x,f)of(1.1),suchthatIIullHI5C(T).C(T)isaconstantdependingboundlyon"o(z)andT.Ifb=0,then(1.l)isthetypicalselnilinearheatsystems,i.e.therearemugpapersdealingwiththesystems(1.3).Theinvestigationill… 相似文献
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一个拟线性抛物型方程组的研究 总被引：1，自引：0，他引：1
该文研究如下柯西问题： 此方程组类似于外力依赖于速度的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程组．研究它是为研究一般Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程组作准备。另一方面，它也可以看作一个高维双曲型方程组 加上粘性项．而（＊）是一个一般高维守恒律的模型．当ｎ＝２，ｆ（ｕ）＝０时，张同等曾经详细研究过它们的Ｒｉｅｍａｎｎ问题． 相似文献
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We consider the interior transmission eigenvalue problem corresponding to the scattering for an anisotropic medium of the scalar Helmholtz equation in the case where the boundary ?Ω is split into two disjoint parts and possesses different transmission conditions.Using the variational method,we obtain the well posedness of the interior transmission problem,which plays an important role in the proof of the discreteness of eigenvalues.Then we achieve the existence of an infinite discrete set of tra... 相似文献
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该文讨论了（Ⅰ）、（Ⅱ）两类广义Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程，通过一系列精确的估计，得到了其广义解的整体存在性． 相似文献
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严国政 《数学物理学报(B辑英文版)》1997,(2)
1IntroductionInthispaper,westudythefollowingnonlinearpartialdeferentialequationwherea(20)andp(>1)areconstants.(z,Vu(t,x))isthescalarOfxandVu(f,x),i.e.nx=(xl,...tx.),y=(yi,'',ye)then(x,y)=Zfiji.Withoutlossofgenerality,wetarei=1a=1.Thepurposeofthispaperistwo-fold.Firstweprovetheealltenceofglobalsolutions(Theorem2.1),thenweshowthatthereedestsapositivesolutionwithzeroinitialvalueinW','(Theorem1.1),thusthenon-uniquenessisestablishedwhentheinitialvalueiszeroinWI,a(R").Theorem1.1canberegardedas… 相似文献
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