共查询到19条相似文献,搜索用时 268 毫秒
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研究一类具扰动的Sine-Gordon方程utt-uxx+αsinu-βuxxt=g(u),t>0,-∞< x< ∞的周期初值问题,提出了谱方法,并用先验估计方法作了误差估计,证明了近似方法的收敛性,并得到了该问题广义解的存在、唯一性。 相似文献
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一类非线性发展方程的特征中心差分法 总被引:1,自引:0,他引:1
给出一类非线性发展方程的特征中心差分法,分别得到非规则网格上的位移u、速度ut及其对空间变量x的一阶导数项的差分解和误差估计.所讨论方法的计算量与基于线性插值的特征差分法相当,其近似解与基于二次插值的特征差分法的近似解具有相同阶的误差估计,u,ut对空间变量x的一阶导数近似均具有超收敛误差估计.数值试验说明了该方法的可行性和有效性. 相似文献
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核磁共振法测定氟硅油的分子量和氟硅橡胶中乙烯基含量 总被引:1,自引:0,他引:1
用一系模型化合物归属了氟硅油和氟硅橡胶(聚甲基,r.r.r.三氟丙基硅氧烷,的1H NMR谱,提出了一测定氟硅油分子量的方法。此法是基于端基的测量。对于甲基封端的氟硅油,
x=6SCH3(b)/SCH3(a),M=156x+162对于羟基封端的氟硅油,
x=((SCH3(b))/SCH3(a)+1)×2,M=156x+18
SCH3(a)和SCH3(b)分别为端甲基和其余的甲基的峰面积,x和M分别为聚合度和分子量。
使用高灵敏度的1H NMR谱测定了氟硅橡胶中乙烯基含量和一系列共聚物的组成。
乙烯基 mole%=(S-CH-CH2)/S-CH2×(2)/3
S-CH-CH2和S-CH2分别是乙烯基和-CH2基的峰面积。 相似文献
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考虑一类演化方程ut=au∂2k+1(其中a是常数,u∂2k+1=∂2k+1u/∂x2k+1,k=1,2……)的有限差分解法。构造了两类具有高稳定性的显式差分格式。并用引入耗散项的方法建立了两类半显式差分格式,它们是无条件稳定的且可显式地进行计算。 相似文献
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通过对La2-xNdxCuO4+δ(0.1≤x≤1.2)体系中滞弹性弛豫与相变内耗性能的研究发现,当0.1≤x≤1.0时,在250K左右存在一个与间隙氧有关的弛豫内耗峰,并且当0.1≤x≤0.4时,弛豫内耗峰峰高随着x值的增大而升高,此时体系为正交结构;当0.5≤x≤1.0时,体系在宏观上呈现四方结构,此时内耗峰峰高随着x<
关键词:
2-xNd<i>xCuO4+δ')" href="#">La2-xNd<i>xCuO4+δ
间隙氧
弛豫内耗峰
相变内耗峰 相似文献
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杂多阴离子的NMR和ESR研究——P-V-W Keggin阴离子的31P、51V、17O-NMR谱 总被引:3,自引:1,他引:2
本文合成了六种含有P-V-W和V-V-W Keggin结构的杂多阴离子,并研究了它们的31P、51V、17O-NMR谱,对于PVxW12-xO40(x+3)-(x=1~4)阴离子,当x=1时,31P和51V-NMR谱只有一条线,并且此线化学位移和pH无关。当x ≥ 2时,谱线数目随着x迅速增加,其原因是几何异构体的数目和类型迅速增加。它们的化学位移δp,和δv。依赖于溶液的酸性和x,即δp,随pH值和x增加而减少,而δv,却随pH和x的增加而增加。最后简短讨论了桥氧上质子化的影响。 相似文献
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The functionally generalized variable separation of the generalized nonlinear diffusion equations ut = A(u, ux)uxx +B(u, ux) is studied by using the conditional Lie–Ba¨cklund symmetry method. The variant forms of the considered equations,which admit the corresponding conditional Lie–Ba¨cklund symmetries, are characterized. To construct functionally generalized separable solutions, several concrete examples defined on the exponential and trigonometric invariant subspaces are provided. 相似文献
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It is shown that each one-parameter subgroup of SL(2,R) gives rise to a local correspondence theorem between suitably generic solutions of arbitrary scalar equations describing pseudo-spherical surfaces. Thus, if appropriate genericity conditions are satisfied, there exist local transformations between any two solutions of scalar equations arising as integrability conditions of sl(2,R)-valued linear problems.
A complete characterization of evolution equations ut=K(x,t,u,ux,…,uxk) which are of strictly pseudo-spherical type is also provided. 相似文献
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Helga Baum 《Journal of Geometry and Physics》1987,4(4):503-522
Let
(P) be the moduli space of irreducible connections of a G-principal bundle P over a closed Riemannian spin manifold M. Let DA be the Dirac operator of M coupled to a connection A of P and f a smooth function on M. We consider a smooth variation A(u) of A with tangent vector ω and denote Tω:=
(DA(u)−f) (u=0. The coefficients of the asymptotic expansion of trace (Tω · e-t(DA−f)2) near t=0 define 1-forms a(k)f, K=0, 1, 2, … on
(P). In this paper we calculate aa(0)f, a(1)f, a(2)f and study some of their properties. For instance using the 1-form a(2)f for suitable functions f we obtain a foliation of codimension 5 of the space of G-instantons of S4. 相似文献
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On nonanalytic solitary waves formed by a nonlinear dispersion 总被引:7,自引:0,他引:7
Philip Rosenau 《Physics letters. A》1997,230(5-6):305-318
We study the prototypical, genuinely nonlinear, K(m, n) equation, ut ± a(um)x + (un)xxx = 0, a = const, which exhibits a number of remarkable dispersive effects. In particular, the distinguished subclass wherein m = n + 2 is transformed into a new, purely dispersive equation free of convection. In addition to compactons, the K(m, n) can support both kinks and solitons with an infinite slope(s), periodic waves and dark solitons with cusp(s) all being manifestations of nonlinear dispersion in action. For n < 0 the enhanced dispersion at the tail may generate algebraically decaying patterns. 相似文献
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Partha Guha 《Journal of Geometry and Physics》2003,46(3-4):231-242
It is known that the Korteweg–de Vries (KdV) equation is a geodesic flow of an L2 metric on the Bott–Virasoro group. This can also be interpreted as a flow on the space of projective connections on S1. The space of differential operators Δ(n)=∂n+u2∂n−2++un form the space of extended or generalized projective connections. If a projective connection is factorizable Δ(n)=(∂−((n+1)/2−1)p1)(∂+(n−1)/2pn) with respect to quasi primary fields pi’s, then these fields satisfy ∑i=1n((n+1)/2−i)pi=0. In this paper we discuss the factorization of projective connection in terms of affine connections. It is shown that the Burgers equation and derivative non-linear Schrödinger (DNLS) equation or the Kaup–Newell equation is the Euler–Arnold flow on the space of affine connections. 相似文献
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In this investigation, nonstoichiometries and defect structures of tin oxides were studied between 694 and 990 K by coulometric titration using solid state electrolyte (YSZ) cells. The relationship between nonstoichiometry of the oxide (x) and equilibrium oxygen partial pressure (Po2) was expressed by the proportionality: xPO2−1/6. An intermediate oxide phase, Sn3O4 between Sn and SnO2 was observed in the temperature range of 696–732 K. The standard Gibbs energy of formation of Sn3O4 via the reaction;
was found to be ΔGoSn3O4 = −1163960+417.36 T (J/mol). The standard Gibbs energy change for the defect formation reaction in SnO2−x was calculated to be ΔGoSnO2−x = 3.05×105−38.97 T (J/mol)). 相似文献
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Oxygen tracer diffusion (D*) and surface exchange rate constant (k*) have been measured, using isotopic exchange and depth profiling by secondary ion mass spectrometry (SIMS), in La1−xSrxFe0.8Cr0.2O3−δ (x=0.2, 0.4 and 0.6). Measurements were made as a function of temperature (700–1000 °C) and oxygen partial pressure (0.21–10−21 atm) in dry oxygen, water vapour and water vapour/hydrogen/nitrogen mixtures. At high oxygen activity, D* was found to increase with increasing temperature and Sr content. The activation energies for D* in air are 2.13 eV (x=0.2), 1.53 eV (x=0.4) and 1.21 eV (x=0.6). As the oxygen activity decreases, D* increases as expected qualitatively from the increase in oxygen vacancy concentration. Under strongly reducing conditions, the measured values of D* at 1000 °C range from 10−8 cm2 s−1 for x=0.2 to 10−7 cm2 s−1 for x=0.4 and 0.6. The activation energies determined at constant H2O/H2 ratio are 1.21 eV (x=0.2), 1.59 eV (x=0.4) and 0.82 eV (x=0.6).
The surface exchange rate constant of oxygen for the H2O molecule is similar in magnitude to that for the O2 molecule and both increase with increasing Sr concentration. 相似文献
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Konrad Schmüdgen 《Journal of Geometry and Physics》1999,31(4):963-264
Let (Γ, d) be the 3D-calculus or the 4D±-calculus on the quantum group SUq (2). We describe all pairs (π, F) of a *-representation π of
(SUq(2)) and of a symmetric operator F on the representation space satisfying a technical condition concerning its domain such that there exist a homomorphism of first order differential calculi which maps dx into the commutator [iF, π(x)] for x ε
(SUq (2)). As an application commutator representations of the two-dimensional left-covariant calculus on Podles quantum 2-sphere Sqc2 with c = 0 are given. 相似文献