Developments in Partial Differential Equations and Applications to Mathematical Physics -

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Résumé :
Invited Lectures.- Liapunov Functionals and Qualitative Behaviour of the Solution to the Nonlinear Enskog Equation.- Discontinuous Media and Dirichlet Forms of Diffusion Type.- On an Abstract Weakly Hyperbolic Equation Modelling the Nonlinear Vibrating String.- On the Relaxation of Functionals Defined on Cartesian Manifolds.- Green's Identities and Pendent Liquid Drops, I.- Remarks on Incompressible Models of Fluid Mechanics.- On Solutions with Blow-up at the Boundary for a Class of Semilinear Elliptic Equations.- On Some Singular Boundary Value Problem for Heat Operator.- Surface Waves of Viscous Fluid Down an Inclined Plane.- A Remark on the Cauchy Problem of Non-Strict Hyperbolicity.- Flows Between Rotating Plates.- H2-convergent Linearizations to the Navier-Stokes Initial Value Problem.- On the Problem of the Hypoellipticity of the Linear Partial Differential Equations.- Ultra Wave Front Sets and Fourier Integral Operators of Infinite Order with an Application.- On Mathematical Tools for Studying Partial Differential Equations of Continuum Physics: H-measures and Young Measures.- Contributed Papers.- A Variational Approach to Problems of Plastic Deformation.- Some Regularity Results for a Nonlinear Elliptic Equation.- On the Stationary Oseen Equations with Nonvanishing Divergence in Exterior Domains of R3.- Special Bounded Hessian and Partial Regularity of Equilibrium for a Plastic Plate....

Sommaire:
Liapunov Functionals and Qualitative Behavior of the Solution to the Nonlinear Enskog Equation; N. Bellomo, et al. Discontinuous Media and Dirichlet Forms of Diffusion Type; M. Biroli, U. Mosco. On an Abstract Weakly Hyperbolic Equation Modelling the Nonlinear Vibrating String; P. D'Ancona, S. Spagnolo. On the Relaxation of Functionals Defined on Cartesian Manifolds; E. De Giorgi. Green's Identities and Pendent Liquid Drops, I; R. Finn. Remarks on Imcompressible Models on Fluid Dynamics; P.L. Lions. On Solutions with BlowUp at the Boundary for a Class of Semilinear Elliptic Equations; M. Marcus. On Some Singular Boundary Value Problem for Heat Operator; S. Mizohata. Surface Waves of Viscous Fluid Down an Inclined Plane; N. Ninomiya, T. Nishida. Flows Between Rotating Plates; K.R. Rajagopal. On the Problem of the Hypoellipticity of the Linear Partial Differential Equations; L. Rodino. 8 additional articles. Index.