Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux
Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux. I
Temps de vie précisé et explosion géométrique pour des systèmes hyperboliques quasilinéaires en dimension un d'espace
Temps d’existence pour l’équation de Klein-Gordon semi-linéaire à données petites faiblement décroissantes
Teorema di Nash-Moser ed equazioni iperboliche non lineari
Teoremi di esistenza globale per equazioni semilineari di tipo onda
The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model
We construct a Roe-type numerical scheme for approximating the solutions of a drift-flux two-phase flow model. The model incorporates a set of highly complex closure laws, and the fluxes are generally not algebraic functions of the conserved variables. Hence, the classical approach of constructing a Roe solver by means of parameter vectors is unfeasible. Alternative approaches for analytically constructing the Roe solver are discussed, and a formulation of the Roe solver valid for general closure...
The beam operator and the Fučík spectrum
The behaviour of the Gaussian beam in an anisotropic medium with an interface between two media.
The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II
The BV solution of the parabolic equation with degeneracy on the boundary
Consider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.
The Cauchy problem for a nonlinear Wheeler-DeWitt equation
The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge
The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable
We discuss the local existence and uniqueness of solutions of certain nonstrictly hyperbolic systems, with Hölder continuous coefficients with respect to time variable. We reduce the nonstrictly hyperbolic systems to the parabolic ones and by use of the Tanabe-Sobolevski’s method and the Banach scale method we construct a semi-group which gives a representation of the solution to the Cauchy problem.
The Cauchy problem for linear hyperbolic systems in
The Cauchy problem for non linear wave equations in domains with moving boundary
The Cauchy problem for nonlinear wave equations in the homogeneous Sobolev space
The Cauchy problem for semilinear weakly hyperbolic equations in Hilbert spaces
The Cauchy problem for the coupled Klein-Gordon-Schrödinger system
We consider the Cauchy problem for a generalized Klein-Gordon-Schrödinger system with Yukawa coupling. We prove the existence of global weak solutions by the compactness method and, through a special choice of the admissible pairs to match two types of equations, we prove the uniqueness of those solutions by an approach similar to the method presented by J. Ginibre and G. Velo for the pure Klein-Gordon equation or pure Schrödinger equation. Though it is very simple in form, the method has an unnatural...
The Cauchy problem for the Vlasov-Maxwell equations