We consider the Cauchy problem for a class of nonlinear degenerate parabolic equation with forcing. By using the vanishing viscosity method it is possible to construct a generalized solution. Moreover, this solution is a Lipschitz function on the …
El estudio del fenómeno de tsunami ha sido de gran interés, especialmente en la última decada. La utilización de modelos matemáticos para simular los efectos de tsunami en oceanos y costas ha sido posible, al punto de calcular con gran detalle y …
In this chapter, we study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of temple class. Under suitable generalized Rankine–Hugoniot relation and entropy condition, both existence and uniqueness of particular …
We investigate the large time behavior of the global weak entropy solutions to the symmetric Keyfitz-Kranzer system with linear damping. It is proved that as t to infinity the entropy solutions tend to zero in the Lp norm.
We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. This system is a simplification of a recently proposed system of five conservations laws by Bouchut and Boyaval that model viscoelastic …
We show a new lower bound on the H{sup .3/2} (T{sup 3}) norm of a possible blow-up solution to the Navier-Stokes equation, and also comment on the extension of this result to the whole space. This estimate can be seen as a natural limiting result for …
We study the relaxation limit for the Aw-Rascle system of traffic flow. For thiswe apply the theory of invariant regions and the compensated compactnessmethod to get global existence of Cauchy problem for a particular Aw-Rascle system with source, …
We consider the problem studied by Lu et. al. in [Proc. Am. Math. Soc. 131, 3511 (2003)] to which we add a source term. This is a system of three balance laws. We use standard techniques, such as viscous approximations and compensated compactness, to …
En este artículo se exponen algunos conceptos básicos de derivación para funciones de una variable compleja. También se muestran algunas versiones del Teorema de Rolle y del Valor Medio para funciones de una variable compleja.