Presents a study that investigated the generalization of the reverse order implicit Q-theorem and its truncated version to the unsymmetric case. Background on the application of the Arnoldi process formulations for a ...Presents a study that investigated the generalization of the reverse order implicit Q-theorem and its truncated version to the unsymmetric case. Background on the application of the Arnoldi process formulations for a Krylov subspace; Computation of the vector sequence and the resulting Hessenberg matrix; Numerical results.展开更多
考虑速度分量的各向异性进行能量估计,得到三维稳态Q-tensor液晶流系统的Liouville型定理,即若u∈L^(q)(R^(3))∩˙H^(1)(R^(3)),u_(i)∈L xi q/q−2 L s xei(R×R^(2))(i=1,2,3),且Q∈H^(2)(R^(3)),其中2/q+1/s≥1/2,1≤s≤∞,2<...考虑速度分量的各向异性进行能量估计,得到三维稳态Q-tensor液晶流系统的Liouville型定理,即若u∈L^(q)(R^(3))∩˙H^(1)(R^(3)),u_(i)∈L xi q/q−2 L s xei(R×R^(2))(i=1,2,3),且Q∈H^(2)(R^(3)),其中2/q+1/s≥1/2,1≤s≤∞,2<q<∞,则该稳态系统只有平凡解.这个结论推广了已有的结果.展开更多
基金Supported by the Special Funds for Major State Basic Research Projects (G1999032805), the Foundation for Excellent Young Scholars of the Ministry of Education, the Research Fund for the Doctoral Program of Higher Education and the Foundation for Key Teac
文摘Presents a study that investigated the generalization of the reverse order implicit Q-theorem and its truncated version to the unsymmetric case. Background on the application of the Arnoldi process formulations for a Krylov subspace; Computation of the vector sequence and the resulting Hessenberg matrix; Numerical results.
文摘考虑速度分量的各向异性进行能量估计,得到三维稳态Q-tensor液晶流系统的Liouville型定理,即若u∈L^(q)(R^(3))∩˙H^(1)(R^(3)),u_(i)∈L xi q/q−2 L s xei(R×R^(2))(i=1,2,3),且Q∈H^(2)(R^(3)),其中2/q+1/s≥1/2,1≤s≤∞,2<q<∞,则该稳态系统只有平凡解.这个结论推广了已有的结果.
基金温州大学硕士研究生创新基金资助项目“some q-analogue of alternating q-harmonic numbers and alternating q-supercongruence of modulo the cyclotomic polynomial”(3162023004054)。
