Applied Mathematics E-Notes, Volume (23), No (2023), Year (2023-9) , Pages (360-369)

Title : ( Global existence and general decay of solutions for a quasi-linear parabolic system with a weak-viscoelastic term )

Authors: Faramarz Tahamtaniy , Mohammad Shahrouzi ,
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Abstract

In this work, we study a quasi-linear parabolic equation with a weak-viscoelastic term of the form A(t)jutjm????2ut + 2u ???? (t)(g 2u) = jujp????2u; in a bounded domain in Rn where m; p 2 and A(t) is a bounded and positive denite matrix. By using the perturbed energy functional technique, we establish global existence and a general decay result, which depends on the behavior of both and g.

Keywords

, Global existence, General decay, Parabolic equation, weak viscoelastic