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

By Roberto Monaco,Miriam Pandolfi Bianchi,Salvatore Rionero

Lawsuits 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 learn within the box of balance and wave propagation in non-stop media.

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I. Miiller, T . Ruggeri, Stationary Heat Conduction in Radially Symmetric Situations - An Application of Extended Thermodynamics. Submitted. 5. I. An. 45, (1972). GRAD'S CLOSURE IN THE KINETIC THEORY OF A CHEMICALLY REACTING GAS MARZIA BISI, MARIA GROPPI, GIAMPIERO SPIGA Dipartimento di Matematica, Universiti di Parrna V i a D'Azeglio 85, 43100 Parma, Italy A Grad's closure strategy is applied t o the moment equations relevant t o a four species gas mixture undergoing a bimolecular chemical reaction.

From Proposition 3 it also follows that the control operator wT, is bounded. We can prove a controllability result which shows that the operis boundedly invertible: ator Proposition 4 When the potential q E 3t is known and T E (0, el, then for any function z E ? I T , there exists a unique control f E FT such that wT Proof. According to (28), condition (29) is equivalent to the equation This is the Volterra equation of the second kind with respect t o f . Its solvability proves Proposition 4. Next, we recover the potential q(x) from the known spectral data, {An1 ~ n ) , E IN.

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). 13. L. D. Faddeev, The inverse problem of quantum scattering theory, Soviet J. Math. 5 , 14-21 (1976). 14. M. A. Horn and W. Littman, Boundary control of a Schrodinger equation with nonconstant principal part, in Control of PDEs and Applications, E.

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