On Space-Time Means Everywhere Defined Scattering Operators for Nonlinear Klein-Gordon Equations.
On stability and growth of solutions for classes of initial and boundary value problems
On steady-state carrier distributions in semiconductor devices
The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.
On the Cauchy problem for the Yang-Mills field equations
On the complete integrability of an equation having solitons but not known to have a lax pair.
On the double-well problem for Dirac operators
On the Existence of Wave Operators for The Klein-Gordon Equation.
On the Generalized Korteweg-De Vries Equation.
On the global Cauchy problem for some non linear Schrödinger equations
On the importance of solid deformations in convection-dominated liquid/solid phase change of pure materials
We analyse the effect of the mechanical response of the solid phase during liquid/solid phase change by numerical simulation of a benchmark test based on the well-known and debated experiment of melting of a pure gallium slab counducted by Gau & Viskanta in 1986. The adopted mathematical model includes the description of the melt flow and of the solid phase deformations. Surprisingly the conclusion reached is that, even in this case of pure material, the contribution of the solid phase to the...
On the inequalities associated with a model of Graffi for the motion of a mixture of two viscous, incompressible fluids
We demonstrate a theorem of existence and uniqueness on a large scale of the solution of a system of differential disequations associated to a Graffi model relative to the motion of two incompressible viscous fluids.
On the Korteweg-De Vries Equation.
On the Korteweg-de Vries equation: an associated equation.
On the low frequency asymptotics in electromagnetic theory.
On the modeling of the transport of particles in turbulent flows
We investigate different asymptotic regimes for Vlasov equations modeling the evolution of a cloud of particles in a turbulent flow. In one case we obtain a convection or a convection-diffusion effective equation on the concentration of particles. In the second case, the effective model relies on a Vlasov-Fokker-Planck equation.
On the modeling of the transport of particles in turbulent flows
We investigate different asymptotic regimes for Vlasov equations modeling the evolution of a cloud of particles in a turbulent flow. In one case we obtain a convection or a convection-diffusion effective equation on the concentration of particles. In the second case, the effective model relies on a Vlasov-Fokker-Planck equation.
On the Numerical Solution of the Equation ....-(....) = f and Its Discretizations, I.
On the semigroups of age-size dependent population dynamcis with spatial diffusion.
On the solvability of von Kármán equations
On the stability of solitary waves for classical scalar fields