Información del autor
Documentos disponibles escritos por este autor (9)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
The authors consider the problem ut?div(|?u|p?2?u)=0 in (0,?)×RN, u(x,0)=u0(x). They show that if N?2 and 1texto impreso
We study the behaviour of nonnegative solutions of the reaction-diffusion equation _ ut = (um)xx + a(x)up in R × (0, T), u(x, 0) = u0(x) in R. The model contains a porous medium diffusion term with exponent m > 1, and a localized reaction a(x)u[...]texto impreso
The authors study the asymptotic behaviour of solutions of the heat equation and a number of evolution equations using scaling techniques. It is proved that in the framework of bounded data stabilization need not occur and the general asymptotic[...]texto impreso
texto impreso
In this expository paper the equation (1) ut=div(|?u|m?1 ?u) is discussed in one space dimension (N=1). L?-gradient bounds have been established for arbitrary N by the reviewer and R. Rostamian [Math. Ann. 259 (1982), no. 1, 53–70; Proc. Roy. So[...]texto impreso
Some propagation properties, including a discussion on the existence of compactly supported solutions and the asymptotics of the interfaces thereby determined, are considered for the Cauchy problem u t =(|u x | m-1 ·u x ) x in S=?×(0,?); u(x,0)=[...]texto impreso
Álvarez Galindo, Gabriel ; Martínez Alonso, Luis ; Medina Reus, Elena ; Vázquez, Juan Luis | American Institute of Physics | 2020-04-01We consider separatrix solutions of the differential equations for inflaton models with a single scalar field in a zero-curvature Friedmann-Lemaitre-Robertson-Walker universe. The existence and properties of separatrices are investigated in the [...]texto impreso
We consider the equation ut=(Um)xx-?un with m> 1, ?> 0, n?m as a model for heat diffusion with absorption. Hence we assume that u?0 for x?R, t?0. We study the regularity of the solution to the Cauchy problem for this degenerate parabolic equatio[...]texto impreso
We discuss the existence of travelling-wave solutions with interfaces for the nonlinear heat equation with absorption ut = a(um)xx – bu(n) with a, b> 0 and m, n ? R. Several situations occur depending on the relative strength of the di[...]
