Energy decay and blow-up of solutions for a viscoelastic equation with nonlocal nonlinear boundary dissipation

DOI10.1063/5.0051570zbMath1468.74008OpenAlexW3171829959MaRDI QIDQ5000180

Qingying Hu, Hongwei Zhang, Donghao Li

Publication date: 9 July 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0051570

zbMATH Keywords

global existenceLyapunov functionalpotential well methodFaedo-Galerkin methodnonlinear boundary dampingconvex differential inequality

Mathematics Subject Classification ID

Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

GLOBAL ATTRACTIVITY, ASYMPTOTIC STABILITY AND BLOW-UP POINTS FOR NONLINEAR FUNCTIONAL-INTEGRAL EQUATIONS’ SOLUTIONS AND APPLICATIONS IN BANACH SPACE BC(R+) WITH COMPUTATIONAL COMPLEXITY ⋮ Blow-up of solutions for a wave equation with nonlinear averaged damping and nonlocal nonlinear source terms ⋮ Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms

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