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Download PDF by Roberto Monaco,Miriam Pandolfi Bianchi,Salvatore Rionero: 11th Conference on Waves and Stability in Continuous Media,

By Roberto Monaco,Miriam Pandolfi Bianchi,Salvatore Rionero

ISBN-10: 9812380175

ISBN-13: 9789812380173

Court cases of the eleventh convention on WASCOM 2001, held June 3-9, 2001 in Porto Ercole, Italy. convention used to be held to debate difficulties, advertise collaborations and form destiny instructions for examine within the box of balance and wave propagation in non-stop media.

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Extra resources for 11th Conference on Waves and Stability in Continuous Media, Porto Ercole (Grosseto), Italy, 3-9 June 2001: WASCOM 2001: proceedings

Example text

Tangential component of q [@](left)and v [@](right). 2 Solutions Figures 2, 3, 4 represent the complete solution of the system (6) for the discussed boundary data: Figure 2 shows the fields 0 ( r ) and p ( r ) ,the two functions that are also non-constant if we consider the gas as a Navier-Stokes-Fourier fluid. In order to exhibit the effect of 13 moments as opposed to Navier-Stokes-Fourier we have printed both in the graphs of Figure 2. The next set of graphs, in Figure 3, represent two effects due to the inertial terms: non-zero functions for q [6]and v [6].

9. M. I. Belishev, An approach to multidimensional inverse problems for the wave equation, Dokl. AN SSSR 297, 524-527 (1987) (in Russian). 10. M. I. Belishev, Canonical model of a dynamical system with boundary control in inverse problem for the heat equation, Algebra and Analysis 7 , 3-32 (1995) (in Russian). 11. M. I. Belishev, Boundary control method in reconstruction of manifolds and metrics (the BC method), Inverse Problems 13, R1-R45 (1997). 12. M. I. Belishev, Dynamical systems and boundary control: models and characterization of inverse data, Inverse Problems 17, 659-682 (2001).

P~ = 2 ["I:' v=O, q (r) . 0=0(r), p = [ arr (r) ar' (T) 0 a'' (r) a'* ( r ) o 0 0 az"(r) I . (5) We find out that there is no non-trivial solution of the system for this case. Nor is there a non-trivial solution, if - for v = 0 - we also set are = 0 or ar' and qe equal to zero. Therefore we conclude that the heat conducting gas cannot be at rest in a non-inertial frame. Or in other words: A heat conducting gas is incapable of a rigid rotation. 3 General planar solution Since heat-conduction in a rigidly rotating gas is impossible, we generalise the semi-inverse ansatz (5) by assuming that the velocity field can have the form V = (v'(T),v*(T),o).

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11th Conference on Waves and Stability in Continuous Media, Porto Ercole (Grosseto), Italy, 3-9 June 2001: WASCOM 2001: proceedings by Roberto Monaco,Miriam Pandolfi Bianchi,Salvatore Rionero


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