Global existence and asymptotic behavior of the Boussinesq–Burgers system

Global Existence and Asymptotic Behavior for a Nonlinear Viscoelastic Problem

In this paper the nonlinear viscoelastic wave equation |ut|utt −∆u−∆utt + ∫ t 0 g(t− τ)∆u(τ)dτ − γ∆ut = b|u|p−2u is considered. Using the potential well method a global existence and an exponential decay result are proved. Moreover, for sufficiently large values of the initial data and for a suitable relation between p and the relaxation function g, we establish an unboundedness result.

Global Existence and Asymptotic Behavior in Nonlinear Thermoviscoelasticity

We study global existence, uniqueness, and asymptotic behavior, as time tends to infinity, of weak solutions to the system of nonlinear thermoviscoelasticity. Various boundary conditions are considered. It is shown that for any initial data (u0 , v0 , %0) # L _W 1, _H 1 there is a unique global solution (u, v, %)=(deformation gradient, velocity, temperature) such that u # C([0, ], L ), v # C((0...

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Permanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System

In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition. Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly persistent). Finally, it is proved that the nontrivial equilibrium point...

Global Existence and Asymptotic Behavior of Self - Similar Solutions for the Navier - Stokes - Nernst - Planck - Poisson System in R 3