S Kawashima, Taku Yanagisawa's Advances in nonlinear partial differential equations and PDF

By S Kawashima, Taku Yanagisawa

ISBN-10: 9810233965

ISBN-13: 9789810233969

A suite of papers on microlocal research, Fourier research within the complicated area, generalized capabilities and similar themes. many of the papers originate from the talks given on the convention "Prospects of Generalized services" (held in November 2001 at RIMS, Kyoto). Reflecting the truth that the papers are devoted to Mitsuo Morimoto, the themes thought of during this ebook are interdisciplinary, simply as Morimoto's works are. The historic backgrounds of the topics in a few of the papers also are mentioned extensive. therefore, the quantity may be useful not just to the experts within the fields, but additionally to people who have an interest within the historical past of recent arithmetic equivalent to distributions and hyperfunctions Mathematical points of supersonic movement earlier wings, S-X. Chen; the null and international life of suggestions to structures of wave equations with various speeds, R. Agemi, ok. Yokoyama; scaling limits for giant platforms of interacting debris, okay. Uchiyama; regularity of ideas of preliminary boundary worth difficulties for symmetric hyperbolic structures with boundary attribute of continuing multiplicity, Y. Yamamoto; at the half-space challenge for the discrete speed version of the Boltzmann equation, S. Ukai; on a decay fee of recommendations to the one-dimensional thermoplastic equations of a part line - linear half, Y. Shibata; bifurcation phenomena for the Duffing equation, a. Matsumura; a few feedback at the compactness procedure, A.V. Kazhikhov; percolation on fractal lattices - asymptotic behaviour of the correlation size, M. Shinoda. (Part contents)

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Rauch, Symmetric positive system with boundayy characteristic of constant multiplicity, Trans. Amer. 291 (1985), 167-186. Schaeffer, Supersonic flow past a nearly straigt wedge. Duke M a t h . 43 (1976), 637-670. 648 (1978), 129-143. 43 THE NULL CONDITION A N D GLOBAL EXISTENCE OF SOLUTIONS TO SYSTEMS OF WAVE EQUATIONS WITH DIFFERENT SPEEDS RENTARO AGEMI, KAZUYOSHI YOKOYAMA Department of Mathematics, Hokkaido University, Sapporo 060, Japan In this paper, we consider the initial value problems to systems of quasilinear wave equations with different speeds in two space dimensions.

0 )* /a 1 0 , r)(tuf0 - a? 0 ) J / a 1 0 ) ii sotward normaa on C0. 39) Hence the boundary Co belongs to the class E2 according to Oleinik's classifi­ cation ([29]). Therefore, in order to have a well-posed boundary value problem 36 one boundary condition must be assigned on it. 40). 3 Existence and Regularity Next we are going to prove the existence of weak solution of the linearized prob­ lem. For our convenience we consider the boundary value problem (F') satisfied by the function U = &$-6f instead of (F) satisfied by &$.

Chen, Linear approximation for supersonic flow past a delta wing ( to appear ) . Chen, On the stable method computing conical flow, M a t h . Numer. Sinica (1979), 377-384. 42 [ l l ] R . Friedrichs, supersonic flow and shock waves, Springer-Verlag, NewYork, 1948. Ebin, The initial boundayy value problem for subsoncc fluid motion, C o m m . P u r e Appl. 32 (1979), 1-19. 23 (1985), 1660-1665. [14] £LH. G u t A method for solving the supersonic flow past a curved wedge,, Fudan J. (Natur. ) 7 (1962), 11-14.

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Advances in nonlinear partial differential equations and stochastics by S Kawashima, Taku Yanagisawa

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