Generalized lubrification models blow-up and global existence result.

J. Emile Rakotoson; J. Michel Rakotoson; Cédric Verbeke

Displaying similar documents to “Generalized lubrification models blow-up and global existence result.”

New results on the Burgers and the linear heat equations in unbounded domains.

J.I. Díaz, S. González (2005)

RACSAM

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We consider the Burgers equation and prove a property which seems to have been unobserved until now: u(x) (0 +∞). We also consider the associate stationary problem. Finally, some applications to the linear heat equation with boundary conditions of Robin type are also given.

Existence of weak-renormalized solution for a nonlinear system.

Blanca Climent (2002)

Revista Matemática Complutense

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We prove an existence result for a coupled system of the reaction-diffusion kind. The fact that no growth condition is assumed on some nonlinear terms motivates the search of a weak-renormalized solution.

On one problem of Smale.

Tomberg, Eh.A., Yakubovich, V.A. (2000)

Siberian Mathematical Journal

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Asymptotic stability of an equilibrium for the gas dynamics model of charge transport in semiconductors.

Blokhin, A. M., Bushmanova, A. S. (2000)

Sibirskij Matematicheskij Zhurnal

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Existence of solutions for a degenerate nonlinear evolution equation.

A. Sanih Bonfoh (2005)

RACSAM

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We consider a model of generalized Cahn-Hilliard equations with a logarithmic free energy and a degenerate mobility, and obtain a result on the existence of solutions.

An initial value problem fora third order differential equation

Wojciech Mydlarczyk (1994)

Annales Polonici Mathematici

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For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.