排序方式: 共有119条查询结果,搜索用时 15 毫秒
1.
Volker Elling. 《Mathematics of Computation》2006,75(256):1721-1733
A particular case of initial data for the two-dimensional Euler equations is studied numerically. The results show that the Godunov method does not always converge to the physical solution, at least not on feasible grids. Moreover, they suggest that entropy solutions (in the weak entropy inequality sense) are not well posed.
2.
Global well‐posedness of 2D nonlinear Boussinesq equations with mixed partial viscosity and thermal diffusivity 下载免费PDF全文
In this paper, we discuss with the global well‐posedness of 2D anisotropic nonlinear Boussinesq equations with any two positive viscosities and one positive thermal diffusivity. More precisely, for three kinds of viscous combinations, we obtain the global well‐posedness without any assumption on the solution. For other three difficult cases, under the minimal regularity assumption, we also derive the unique global solution. To the authors' knowledge, our result is new even for the simplified model, that is, F(θ) = θe2. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
3.
In this paper, we consider a vibrating system of Timoshenko-type in a bounded one-dimensional domain under Dirichlet–Dirichlet or Dirichlet–Neumann boundary conditions with one or two discrete time delays and one or two internal frictional dampings. First, we show that the system is well posed in the sens of semigroup theory. Second, we prove the exponential stability regardless to the speeds of wave propagation of the system if the weights of the time delays are smaller than the ones of the corresponding dampings, respectively. However, when the weight of one time delay is not smaller than the one of the corresponding damping, we prove the exponential stability in case of equal-speed wave propagation, and the polynomial stability in the opposite case. 相似文献
4.
Local well‐posedness for a system of quadratic nonlinear Schrödinger equations in one or two dimensions 下载免费PDF全文
Huali Zhang 《Mathematical Methods in the Applied Sciences》2016,39(14):4257-4267
In this article, the local well‐posedness of Cauchy's problem is explored for a system of quadratic nonlinear Schrödinger equations in the space Lp( R n). In a special case of mass resonant 2 × 2 system, it is well known that this problem is well posed in Hs(s≥0) and ill posed in Hs(s < 0) in two‐space dimensions. By translation on a linear semigroup, we show that the general system becomes locally well posed in Lp( R 2) for 1 < p < 2, for which p can arbitrarily be close to the scaling limit pc=1. In one‐dimensional case, we show that the problem is locally well posed in L1( R ); moreover, it has a measure valued solution if the initial data are a Dirac function. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
5.
Alain Miranville Ramon Quintanilla 《Mathematical Methods in the Applied Sciences》2016,39(15):4385-4397
Our aim in this paper is to study generalizations of the nonconserved and conserved Caginalp phase‐field systems based on the Maxwell–Cattaneo law with two temperatures for heat conduction. In particular, we obtain well‐posedness results and study the dissipativity of the associated solution operators. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
6.
Stefanie Sonner Messoud A. Efendiev Hermann J. Eberl 《Mathematical Methods in the Applied Sciences》2011,34(13):1667-1684
We analyze a system of reaction–diffusion equations that models quorum‐sensing in a growing biofilm. The model comprises two nonlinear diffusion effects: a porous medium‐type degeneracy and super diffusion. We prove the well‐posedness of the model. In particular, we present for the first time a uniqueness result for this type of problem. Moreover, we illustrate the behavior of model solutions in numerical simulations. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
7.
In this paper, we consider the Cauchy problems for compressible Euler equations with damping. In terms of the Littlewood–Paley decomposition and Bony's para‐product formula, we prove the global existence, uniqueness and asymptotic behavior of the solution in the critical Besov space comparing with previous results. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
8.
材料物性参数识别的梯度正则化方法 总被引:11,自引:1,他引:11
本文对梯度正则化方法(Gradient-Regularization Method)作了进一步的研究,给出一种建立了梯度正则化迭代算法和选择正参数的简明实用方法。文中椭圆算子方程参数识别算例不仅说明了GR法具有广泛的适应性和一定的抗噪声能力,而且收敛速度较快,具有较大的收敛范围。 相似文献
9.
Jing Wang 《Mathematical Methods in the Applied Sciences》2009,32(18):2416-2438
In this paper, we study the asymptotic relation between the solutions to the one‐dimensional viscous conservation laws with the Dirichlet boundary condition and the associated inviscid solution. We assume that the viscosity matrix is positive definite, then we prove the existence and the stability of the weak boundary layers by discussing nonlinear well‐posedness of the inviscid flow with certain boundary conditions. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
10.
We consider the one and one‐half dimensional multi‐species relativistic Vlasov–Maxwell system with non‐decaying (in space) initial data. We prove its well‐posedness and nonrelativistic limit as the speed of light . These results mainly rely on a delicate analysis of energy structure and application of estimates along the characteristic lines. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献