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Stability Theory for Strong and Mild Solutions [PDF]

, 2011
If Open image in new window is a finite-dimensional Hilbert space, then Lyapunov proved that the mild solution {u x (t)} of the Cauchy problem \(\dot{u} (t) = Au(t)\), with the initial condition Open image in new window satisfies the following condition (a) Open image in new window , with \(r,\;c_{0}>0\), for t>0, if and only if, there exists a ...
Leszek Gawarecki, Vidyadhar Mandrekar
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The corrosion of mild steel by fertilizer solutions

Journal of Agricultural Engineering Research, 1972
Laboratory and field studies have been undertaken to establish the corrosion risks associated with the storage of fertilizer solutions in mild steel vessels. The importance of phosphate in bringing about the formation of protective films in both nitrogenous and other grades is demonstrated.
D.A. Palgrave, G.D. Smith
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Solution of ribosomal proteins under mild conditions

Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis, 1975
Ribosomal proteins from two eucaryotic species, prepared by either the guanidine . HCl or LiCl . urea method and subsequently dissolved in 8 M urea were found to be largely retained in solution after removal of the urea by dialysis against a solution of low ionic strength (0.05 M Tris .
Robert A. Cox, Piroska Huvos
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Mild Solutions in L2 Spaces

2017
This chapter is devoted to the presentation of the \(L^2\) theory for the existence and uniqueness of mild solutions for a class of second-order infinite-dimensional HJB equations in Hilbert spaces through a perturbation approach.
Andrzej Święch, Giorgio Fabbri, Fausto Gozzi   +2 more
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Mild Solutions in Spaces of Continuous Functions

2017
In this chapter we present the theory of regular solutions (i.e. at least \(C^1\) in the space variable in a suitable sense) for a class of HJB equations in Hilbert spaces through a perturbation approach which was first introduced in [147, 340] and then improved and developed in various subsequent papers like [89, 90, 306, 307, 317] and later [105, 107,
Giorgio Fabbri, Fausto Gozzi, Andrzej Święch   +2 more
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Mild solutions of evolution equations and measures of noncompactness

Nonlinear Analysis: Theory, Methods & Applications, 1996
We prove the existence of local solutions to some nonlinear abstract equation.
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Film growth on mild steel in inhibitive solutions

British Corrosion Journal, 1966
AbstractWhen mild steel is passivated in inhibitive solutions, the thickening of the (oxide)film on the surface of the steel is a function of the logarithm of time, as it is in dry air, and the constants of this ‘logarithmic’ growth are of the same order ofmagnitude in all environments.
Dora M. Brasher, A. D. Mercer, C. P. De
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Solution of the mild-slope wave problem by iteration [PDF]

Applied Ocean Research, 1991
Iterative solution procedures for solving the complete mild-slope wave (combined refractiondiffraction) equation are developed. Existing models for investigating wave refraction-diffraction in coastal areas have one of two main problems: (i) Some of the physics is lost as they resort to approximate solutions (e.g. parabolic approximations).
Benoit Cushman-Roisin, Vijay Panchang, Bryan R. Pearce, Ge Wei   +3 more
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The electrochemical machining of mild steel in NaBrO3 solutions

Corrosion Science, 1972
Abstract For a solution to be a good ECM electrolyte for a given metal, a uniform, potential-dependent, protective film must be formed on the metal surface; the transition from the passive to the transpassive states must occur over a narrow potential range on the polarization curve; and in the high current density regions, the film must be very thin,
James P. Hoare, Kao-Wen Mao, Augustine J. Wallace   +2 more
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Supercapacitive studies on amorphous MnO2 in mild solutions

Journal of Power Sources, 2008
Manganese dioxide has been synthesized by a self-reacting microemulsion method. The result of X-ray diffraction shows that lack of clear peaks and broadening of peaks indicate its amorphous nature. Typical cyclic voltammograms were measured in 0.5 mol L -1 Na 2 SO 4 aqueous solution and the potential ranges were controlled from -0.5 to 0.5, from -0 ...
Yuqun Zeng, Chengjun Xu, Baohua Li, Feiyu Kang, Hongda Du   +4 more
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