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ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR HYPERBOLIC-ELLIPTIC COUPLED SYSTEM IN RADIATING GAS 总被引:1,自引:0,他引:1
In this article, authors study the Cauch problem for a model of hyperbolic-elliptic coupled system derived from the one-dimensional system of the radiating gas. By considering the initial data as a small disturbances of rarefaction wave of inviscid Burgers equation, the global existence of the solution to the corresponding Cauchy problem and asymptotic stability of rarefaction wave is proved. The analysis is based on a priori estimates and L2-energy method. 相似文献
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This paper is concerned with the initial boundary value problem for a vis-coelastic model with relaxation. Under the only assumption that the C^0-norm of theinitial data is small, without smallness hypothesis for the C^1-norm, the existence of theglobal smooth solution to the corresponding initial boundary value problem is proved.The analysis is based on some a priori estimates obtained by the “maximum principle” offirst-order quasilinear hyperbolic system. 相似文献
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该文研究如下奇异椭圆方程-Δu- μu|x|2 =|u|2 (s) -2 u|x|s λ|u|q-2 u ,u∈H10 (Ω) , x∈Ω ,0 ≤ μ< μ =(N- 2 ) 24 ,其中Ω是RN 中的有界区域 ,0 ∈Ω ,N≥ 3.2 (s) =2 (N -s)N- 2 ( 0 ≤s≤ 2 )是临界Sobolev Hardy指标 ,1
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本文讨论了出现在双色谱中的非线性双曲型守恒律组的如下Cauchy问题{ut+(u/1+u+v)x=0,vt+(v/1+u+v)x=0,初值为u(x,0)=u0(x),v(x,0)=v0(x)的整体光滑解的存在性和唯一性.分析过程基于对角化方法和特征线法. 相似文献
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