针对非圆相干信号的解相干问题,给出了一种新的特征空间算法(eigenspace-direction of arrival,ES-DOA)。利用信号源的非圆特性,虚拟地扩展了阵元个数,使阵列信息增至扩展前的两倍,对信号源数目的估计突破了M-1(M为阵元数)的限制;将信...针对非圆相干信号的解相干问题,给出了一种新的特征空间算法(eigenspace-direction of arrival,ES-DOA)。利用信号源的非圆特性,虚拟地扩展了阵元个数,使阵列信息增至扩展前的两倍,对信号源数目的估计突破了M-1(M为阵元数)的限制;将信息量加倍后的协方差矩阵加以重构,给出一种新的特征空间算法进行解相干,最大限度地利用了噪声子空间与信号子空间的信息,避免了空间平滑思想的阵列孔径损失及最大似然算法运算量过大的问题;该方法还对信号源功率进行了估计,提高了对小能量信号的估计成功概率。仿真结果表明,该方法对波达方向估计具有很好的鲁棒性。展开更多
Effect of fluid elasticity and shear-thinning viscosity on the chaotic mixing between two alternately rotating cylinders has been studied. The h-p finite element method is used to obtain high accurate solutions of the...Effect of fluid elasticity and shear-thinning viscosity on the chaotic mixing between two alternately rotating cylinders has been studied. The h-p finite element method is used to obtain high accurate solutions of the steady flow. The unsteady, periodic flow is simulated using the piecewise-steady approximation. Characteristics of the chaotic mixing are analyzed by examining the asymptotic coverage of a passive tracer and the lineal stretching of the fluid elements in the annulus. For the viscoelastic fluids modeled by the upper-convected Maxwell constitutive equation (UCM), our computation predicts little effect of the fluid elasticity on the mixing patterns. On the other hand, the shear-thinning viscosity, modeled by the Carreau equation, has a large impact on the advection of a passive tracer and the distribution of lineal stretching. We find that the zones of the lowest stretching match remarkably well with the regular zones in the tracer-coverage plotting. Our study reveals the vital importance of reducing the discretization errors of the velocity field in the numerical simulation of chaotic flews.展开更多
In this paper, the authors prove the existence of solutions for degenerate elliptic equations of the form-div(a(x)▽_p u(x)) = g(λ, x, |u|^(p-2)u) in R^N, where ▽_pu =|▽u|^(p-2)▽u and a(x) is a degenerate nonnegat...In this paper, the authors prove the existence of solutions for degenerate elliptic equations of the form-div(a(x)▽_p u(x)) = g(λ, x, |u|^(p-2)u) in R^N, where ▽_pu =|▽u|^(p-2)▽u and a(x) is a degenerate nonnegative weight. The authors also investigate a related nonlinear eigenvalue problem obtaining an existence result which contains information about the location and multiplicity of eigensolutions. The proofs of the main results are obtained by using the critical point theory in Sobolev weighted spaces combined with a Caffarelli-Kohn-Nirenberg-type inequality and by using a specific minimax method, but without making use of the Palais-Smale condition.展开更多
文摘针对非圆相干信号的解相干问题,给出了一种新的特征空间算法(eigenspace-direction of arrival,ES-DOA)。利用信号源的非圆特性,虚拟地扩展了阵元个数,使阵列信息增至扩展前的两倍,对信号源数目的估计突破了M-1(M为阵元数)的限制;将信息量加倍后的协方差矩阵加以重构,给出一种新的特征空间算法进行解相干,最大限度地利用了噪声子空间与信号子空间的信息,避免了空间平滑思想的阵列孔径损失及最大似然算法运算量过大的问题;该方法还对信号源功率进行了估计,提高了对小能量信号的估计成功概率。仿真结果表明,该方法对波达方向估计具有很好的鲁棒性。
基金Supported by the National Natural Science Foundation of China (No. 29776039), Skloche PRE Laboratory of China and Cao Guangbiao Science Foundation of Zhejiang University.
文摘Effect of fluid elasticity and shear-thinning viscosity on the chaotic mixing between two alternately rotating cylinders has been studied. The h-p finite element method is used to obtain high accurate solutions of the steady flow. The unsteady, periodic flow is simulated using the piecewise-steady approximation. Characteristics of the chaotic mixing are analyzed by examining the asymptotic coverage of a passive tracer and the lineal stretching of the fluid elements in the annulus. For the viscoelastic fluids modeled by the upper-convected Maxwell constitutive equation (UCM), our computation predicts little effect of the fluid elasticity on the mixing patterns. On the other hand, the shear-thinning viscosity, modeled by the Carreau equation, has a large impact on the advection of a passive tracer and the distribution of lineal stretching. We find that the zones of the lowest stretching match remarkably well with the regular zones in the tracer-coverage plotting. Our study reveals the vital importance of reducing the discretization errors of the velocity field in the numerical simulation of chaotic flews.
文摘In this paper, the authors prove the existence of solutions for degenerate elliptic equations of the form-div(a(x)▽_p u(x)) = g(λ, x, |u|^(p-2)u) in R^N, where ▽_pu =|▽u|^(p-2)▽u and a(x) is a degenerate nonnegative weight. The authors also investigate a related nonlinear eigenvalue problem obtaining an existence result which contains information about the location and multiplicity of eigensolutions. The proofs of the main results are obtained by using the critical point theory in Sobolev weighted spaces combined with a Caffarelli-Kohn-Nirenberg-type inequality and by using a specific minimax method, but without making use of the Palais-Smale condition.
