๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence and Nonexistence of Global Solutions of the Convective Porous Medium Equations with a Nonlinear Forcing at the Boundary

โœ Scribed by Jinsong Hu; Mingxin Wang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
140 KB
Volume
197
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Convective Porous Medium Equations with
Convective Porous Medium Equations with Nonlinear Forcing at the Boundary
โœ Mingxin Wang; Shouxin Chen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 257 KB

This article deals with the global solutions and blow-up problems for the ลฝ m . ลฝ .ลฝ n . ลฝ . convective porous medium equation u s u q rn u , x g 0, 1 , t ) 0, ลฝ m . ลฝ . p ลฝ . ลฝ m . ลฝ . with the nonlinear boundary conditions y u 0, t s au 0, t , u 1, t s 0, w x and positive initial data u x, 0 s u

Global Solvability of Nonlinear Diffusio
Global Solvability of Nonlinear Diffusion Equations with Forcing at the Boundary
โœ Jeffrey R. Anderson ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

Under the influence of a sufficiently ''weak'' nonlinear source term, it is by now well known that a degenerate diffusion equation is globally solvable. A similar result is known when the nonlinear source is present as a forcing term at the boundary. Such results are usually established via comparis

Existence and nonexistence of global sol
Existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation
โœ Changming Song; Zhijian Yang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 207 KB ๐Ÿ‘ 1 views

The paper studies the existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation arising in the model in variational form for the neo-Hookean elastomer rod where k 1 ,k 2 > 0 are real numbers, g(s) is a given nonlinear function. When g(s) = s n (where n 2 is

Global solutions of the Laplace equation
Global solutions of the Laplace equation with a nonlinear dynamical boundary condition
โœ Marek Fila; Pavol Quittner ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 112 KB ๐Ÿ‘ 2 views

We study the boundedness and a priori bounds of global solutions of the problem u"0 in ;(0, ยน ), j S j R # j S j "h(u) on j ;(0, ยน ), where is a bounded domain in 1,, is the outer normal on j and h is a superlinear function. As an application of our results we show the existence of sign-changing sta