一类奇异椭圆方程的正解

研究一类奇异椭圆方程问题。利用变分方法和锥理论中的混合单调方法,证明了奇异方程正解的存在性。     

INTEGRABILITY VIA INVARIANT ALGEBRAIC CURVES FOR PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS

1 IntroductionBy definition a complex (respectively reao planar polynomial differentialsystem or simply a polynomial system is a differential system of the formdx. da.~ = i = p(x,y), ac = i = Q(x,y), (l)dt dt ~ y = Q(x,y), (l)where the dependent variables x and y are complex (respectively real), theindependent one (the time) t is real, and P and Q are polynomials in thevariables x and y with complex (respectively real) coefficients. In all thispaper m = ma-c{deg P, deg Q} denote the degree o…     

活性炭纤维填充床脱除水中酚类化合物及填充床的再生初探

研究了活性炭纤维填充床脱除水中酚类化合物及其填充床的再生方法。结果表明当平衡浓度变化范围为0到0.8kg/m^3时,吸附等温线符合Langmuir型;用乙醇或热的NaOH稀溶液可再生被酚饱和的活性炭纤维填充床,再生效率达90％以上,建立了考虑轴向弥散、纤维内扩散和外膜传质阻力的填充床数学模型,模型由正交配置方法离散,Gear方法求解以预测穿透曲线。模型预测值与实验数据吻合较好,结果确认轴向弥散是影响活性炭纤维填充床穿透曲线的主要因素。     

Symplectic Diffeomorphisms with Infinitely Many Elliptic Periodic Points

§ 1.Introduction and Statement of Main Results　 Let M be2 n-dimensional compactmanifold with a symplectic structureω.Recall thata symplectic structureω is a non-degenerate differential2 -form on M.A diffeomorphismf that preserves symplectic formω,i.e.,f* ω=ω,is called a symplectic diffeomor-phism.Symplectic diffeomorphism arises naturally as time-one map and the Poincarémap of Hamiltonian systems.　Let Diffrω(M) denote the set of Cr diffeomorphisms on M that preserveω,with uni-f…     

一类强非线性二阶椭圆问题混合元方法的最大模误差估计

本文利用正规格林函数及对偶论证技术证明了一类强非线性二阶椭圆问题混合方法对函数的Ｌ＾２投影具有几乎超收敛一阶的最大模误差估计,对伴随向量函数具有拟最优最大模误差估计。     

A Note on the k-very Ampleness of Semi-stable Bundles on an Algebraic Curve

We give a criterion for k-very ampleness of semi-stable bundles on an algebraic curve.     

蛋白质分子中生物能量传输基本方程椭圆波解的讨论

在庞小峰关于蛋白质分子能量传输基本方程的基础上,求出了该方程的另一类解析解－－椭圆皮解。并验证了孤子解的存在性。还获得了椭圆波解的质量、动量和能量表达工。     

Dirichlet's Theorem, Vojta's Inequality, and Vojta's Conjecture

This paper addresses questions involving the sharpness of Vojta's conjecture and Vojta's inequality for algebraic points on curves over number fields. It is shown that one may choose the approximation term mS(D,-) in such a way that Vojta's inequality is sharp in Theorem 2.3. Partial results are obtained for the more difficult problem of showing that Vojta's conjecture is sharp when the approximation term is not included (that is, when D=0). In Theorem 3.7, it is demonstrated that Vojta's conjecture is best possible with D=0 for quadratic points on hyperelliptic curves. It is also shown, in Theorem 4.8, that Vojta's conjecture is sharp with D=0 on a curve C over a number field when an analogous statement holds for the curve obtained by extending the base field of C to a certain function field.     

Fermion-Fermion Stars

The fermion-fermion stars, i.e., the dark matter self-gravitating systems made from two kinds of fermions with different masses, are considered. We review the stability of the systems, present a comparison between the maxima of gravitational redshift for fermion stars, compact stars, Bondi stars, bonson stars and fermion-fermion stars, and then investigate rotation curves of fermion-fermion stars (two-component concentric spheres) which might be polytropic dark matter halos of galaxies. Results show that the fermion-fermion stars would give rotation curves with flat part at large radii. This presents a striking contrast with the rotation curve of a single component fermion star which has no flat parts.     

Curves with Many Points and Multiplication Complexity in Any Extension of q

From the existence of algebraic function fields having some good properties, we obtain some new upper bounds on the bilinear complexity of multiplication in all extensions of the finite field _q, where q is an arbitrary prime power. So we prove that the bilinear complexity of multiplication in the finite fields _qⁿ is linear uniformly in q with respect to the degree n.