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  • 1
    Digitale Medien
    Digitale Medien
    Hydrolysis of Nb(V) and Ta(V) in aqueous KCl at 25°C. Part II: Construction of a thermodynamic model for Ta(V) (1995)
    Springer
    Journal of solution chemistry 24 (1995), S. 611-622 
    Details
    ISSN: 1572-8927
    Schlagwort(e): Ta(V) ; hydrolysis ; thermodynamical model ; modified Bromley theory
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Chemie und Pharmazie
    Notizen: Abstract In this work the hydrolysis of Ta(V) in 3.0M KCl has been studied by measuring the H3O+ ion concentration with a glass electrode. The experimental work consisted of automatically controlled potentiometric titrations. The results were treated using graphical and numerical methods and, as a result, the hydrolysis process can be considered as a homonuclear protolysis. Finally, the results obtained were compared with other data found in the literature and a hydrolysis model for Ta(V) was built by means of the modified Bromley theory.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00973211
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  • 2
    Digitale Medien
    Digitale Medien
    Approximate Controllability for the Semilinear Heat Equation Involving Gradient Terms (1999)
    Springer
    Journal of optimization theory and applications 101 (1999), S. 307-328 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Approximate controllability ; exact finite-dimensional controllability ; semilinear heat equation ; optimal control
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract This paper deals with the approximate controllability of the semilinear heat equation, when the nonlinear term depends on both the state y and its spatial gradient ∇y and the control acts on any nonempty open subset of the domain. Our proof relies on the fact that the nonlinearity is globally Lipschitz with respect to (y, ∇y). The approximate controllability is viewed as the limit of a sequence of optimal control problems. Another key ingredient is a unique continuation property proved by Fabre (Ref. 1) in the context of linear heat equations. Finally, we prove that approximate controllability can be obtained simultaneously with exact controllability over finite-dimensional subspaces.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1021737526541
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