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The stability of steady, vertically upward and downward flow of water in a homogeneous layer of soil is analyzed. Three equivalent dimensionless forms of the Richards equation are introduced, namely the pressure head, saturation, and matric flux potential forms. To illustrate general results and derive special results, use is made of several representative classes of soils. For all classes of soils with a Lipschitz continuous relationship between the hydraulic conductivity and the matric flux potential, steady flows are shown to be unique. In addition, linear stability of these steady flows is proved. To this end, use is made of the energy method, in which one considers (weighted) L 2-norms of the perturbations of the steady flows. This gives a general restriction of the dependence of the hydraulic conductivity upon the matric flux potential, yielding linear stability and exponential decay with time of a specific weighted L 2-norm. It is shown that for other norms the ultimate decay towards the steady-solution is preceded by transient growth. An extension of the Richards equation to take into account dynamic memory effects is also considered. It is shown that the stability condition for the standard Richards equation implies linear stability of the steady solution of the extended model.  相似文献   
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增强UV-B辐射和多效唑对绿豆光合作用的影响   总被引:1,自引:1,他引:1  
使用TPS-1便携式光合仪结合Farquhar和Sharkey的理论测定或计算增强UV-B辐射、多效唑(PP333)及其复合处理幼苗的相关光合指标,并同时测定核酮糖-1,5-二磷酸羧化/加氧酶(Rubisco)含量.发现UV-B辐射降低净光合速率(Pn)、气孔限制值(Ls)和气孔导度(Gs),但使胞间隙CO2浓度(Ci)增加;PP333提高Pn、Gs和Ci,却使Ls下降;与PP333处理相较,UV-B+PP333诱导Pn、Gs和Ci降低,却促进Ls增加;UV-B对Pn、叶肉细胞光合能力(Ao)、表观量子效率(AQY)、羧化效率(dPn/dCi)和Rubisco含量的降低程度大于PP333对上述指标的提高程度,亦大于PP333处理下UV-B对上述指标的抑制程度.结果表明,UV-B降低Pn的主要原因为叶肉细胞光合活性的抑制,而PP333促进Pn及PP333减轻UV-B对Pn的抑制效应主要是通过调节Gs实现的.  相似文献   
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PP_(333)是一种三唑类生长延缓剂,对多种农作物有延缓生长的作用.在大麦叶片离体情况下,低浓废PP_(333)(2—5ppm)能延缓大麦离体叶片的衰老进程,其作用类似于6-BA;相反在高浓废时(25ppm)则又明显地加速大麦离休叶的衰老,具有同ABA类似的效应.PP_(333)虽然是一种生长延缓剂,但其低浓废时有延缓叶片衰老的功能.因此,在田间生产上可用来延缓农作物生长后期功能叶衰老进程,其应用的可能性值得进一步研究.  相似文献   
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In this paper, by using semigroup approach, we concerned with the regularity of the age-dependent population system with instantaneous time delay in the birth process. We prove that, under some additional condition, the solution semigroup of the population evolution equation is eventually differentiable, i.e., there exists t0>0 such that T(t) is differentiable for t>t0.  相似文献   
5.
The adsorption/desorption behavior of formic acid from a monolayer of graphite carbon on Ni(110) was studied using AES, LEED and flash desorption spectroscopy. Formic acid adsorbed at 165 K did not form multilayers of adsorbate. Instead, due to strong hydrogen-bonding interactions the formic acid formed a two-dimensional condensed phase on the surface and exhibited zero-order desorption kinetics initially for a 30-fold change in initial coverage. The zero-order desorption rate constant was kd = 1018 exp[?68.2 kJ mol?1/RT]s?1, suggesting a desorption transition state with nearly full translational and rotational freedom on the surface. The desorption kinetics and the coverage limit were consistent with the formation of a surface polymer-monomer equilibrium.  相似文献   
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