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91.
Filip Rindler 《Archive for Rational Mechanics and Analysis》2011,202(1):63-113
We establish a general weak* lower semicontinuity result in the space BD(Ω) of functions of bounded deformation for functionals
of the form
$ {ll} \,\mathcal{F}(u) := &\int_\Omega f (x, \mathcal{E} u) \;{\rm d} x + \int_\Omega f^\infty \left( x, \frac{{\rm d} E^s u}{{\rm d} |{E^s u}|} \right) \;{\rm d} |{E^s u}| \\ &+ \int_{\partial \Omega} f^\infty \left( x, u|_{\partial \Omega} \odot n_\Omega \right) \;{\rm d} \mathcal{H}^{d-1}, \qquad u \in {\rm BD}(\Omega). $ \begin{array}{ll} \,\mathcal{F}(u) := &\int_\Omega f (x, \mathcal{E} u) \;{\rm d} x + \int_\Omega f^\infty \left( x, \frac{{\rm d} E^s u}{{\rm d} |{E^s u}|} \right) \;{\rm d} |{E^s u}| \\ &+ \int_{\partial \Omega} f^\infty \left( x, u|_{\partial \Omega} \odot n_\Omega \right) \;{\rm d} \mathcal{H}^{d-1}, \qquad u \in {\rm BD}(\Omega). \end{array} 相似文献
92.
Tóth János T. Filip Ferdinánd Bukor József Zsilinszky László 《Periodica Mathematica Hungarica》2021,82(2):125-135
Periodica Mathematica Hungarica - Let $$\mathbb N$$ be the set of positive integers, and denote by $$\begin{aligned} \lambda (A)=\inf \{t>0:\sum _{a\in A} a^{-t}<\infty \}... 相似文献
93.
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96.
Using the Fourier-Laplace transform for functionals, we describe the duals of some spaces of the infinitely differentiable functions given on convex compact sets or convex domains in ?N and such that the growth of their derivatives is determined by weight sequences of a general form. 相似文献
97.
Spin-lattice relaxation in multiple-pulse experiments as contrast parameter in NMR imaging of solids
The molecular motion contrast parameter for NMR imaging of solids and quasi-solids based on the spin-lattice relaxation (T leff) in multiple-pulse experiments is discussed. For Ostroff-Waugh multiple-pulse sequence theT leff contrast parameter is evaluated in slow and fast molecular motion regime and compared with spin-lattice relaxation in the rotating frame contrast parameter. It is shown thatT leff is offering a good molecular motion contrast in NMR imaging of polymer systems. The radio-frequency pulse scheme forT leff-imaging using magic-echo phase-encoding procedure for recording spatial distribution in solids is introduced. A method forT leff-weighted imaging using gradient spin-echo valid for weak dipolar solids is also discussed. The one-dimensional protonT leff image using Ostroff-Waugh pulse sequence in combination with frequency-encoding imaging procedure is presented for a phantom of poly(ethyleneoxide) and poly(methylmethacrylate). The distribution of mechanical stresses in a acrylate film on glass is investigated by protonT leff-imaging. A proton spin-density image weighted byT leff, for a mixture of two elastomers with different crosslink density is also shown. 相似文献
98.
The steady two-dimensional stagnation point flow of an incompressible micropolar fluid over a stretching sheet when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation point, has been studied in this paper. The resulting equations of non-linear ordinary coupled differential equations are solved numerically using the Keller-box method. The results obtained for velocity, microrotation and skin friction are shown in tables and graphs. Comparison with the recent results of Mahapatra and Gupta {Heat Mass Transfer 38 (2002) 517} for the corresponding problem of a viscous fluid (K=0) has been done and it has been shown that the results are in excellent agreement. 相似文献
99.
Vibrational excitation of SF6 by a 10.6 μm CO2 laser is shown to reduce lifetimes for SF6 dimers in supersonically expended flows. A possible utility of this phenomenon in controlling condensation rates to separate isotopes is discussed, and a kinetic analysis of the expected isotopic composition of SF6 in a supersonically expanded stream is presented. 相似文献
100.
P. Schmitt E. Hlawka H. Reiter H. G. Feichtinger N. Hofreiter S. Grosser H. Rindler E. Kotzmann P. Michor F. Haslinger H. Mitsch H. -C. Reichel 《Monatshefte für Mathematik》1976,81(2):169-176
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