Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition

DOI10.3934/math.2021442zbMath1484.35051OpenAlexW3163314743MaRDI QIDQ2130803

Abdelbaki Choucha, Ibrahim Mekawy, Djamel Ouchenane, Mohamed Abdalla, Salah Mahmoud Boulaaras

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021442

zbMATH Keywords

boundary value problemGalerkin's methodMoore-Gibson-Thompson equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Higher-order semilinear hyperbolic equations (35L76)

Related Items (2)

On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation ⋮ The (2+1)-dimensional hyperbolic nonlinear Schrödinger equation and its optical solitons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy
• \(L^{\infty }\)-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem
• A nonlinear nonlocal mixed problem for a second order pseudoparabolic equation
• Global existence and decay estimates of energy of solutions for a new class of \(p\)-Laplacian heat equations with logarithmic nonlinearity
• Global existence, decay, and blow up of solutions of a singular nonlocal viscoelastic problem
• On a class of singular hyperbolic equation with a weighted integral condition
• A new proof for the existence and uniqueness of the discrete evolutionary HJB equations
• Mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator
• Global existence for two singular one-dimensional nonlinear viscoelastic equations with respect to distributed delay term
• On the system of coupled nondegenerate Kirchhoff equations with distributed delay: global existence and exponential decay
• Global existence and decay of solutions of a singular nonlocal viscoelastic system with damping terms
• On the regularity of weak solutions of the Boussinesq equations in Besov spaces
• A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case
• Global existence and exponential decay of solutions for generalized coupled non-degenerate Kirchhoff system with a time varying delay term
• Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term
• Decay estimate and non-extinction of solutions of \(p\)-Laplacian nonlocal heat equations
• New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators
• Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions
• A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space
• Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term
• Quantum integral inequalities with respect to Raina's function via coordinated generalized \(\Psi\)-convex functions with applications
• A new result for a blow-up of solutions to a logarithmic flexible structure with second sound
• Decay estimates for second order evolution equations with memory
• On a singular two dimensional nonlinear evolution equation with nonlocal conditions
• Some new properties of asynchronous algorithms of theta scheme combined with finite elements methods for an evolutionary implicit 2-sided obstacle problem
• On the higher dimension Boussinesq equation with nonclassical condition
• A parabolic equation with nonlocal boundary conditions arising from electrochemistry
• Weak Solution to an Evolution Problem with a Nonlocal Constraint
• Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms
• General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms
• SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD
• On the continuation principle of local smooth solution for the Hall-MHD equations
• Global existence and decay of solutions of a singular nonlocal viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized damping term
• Global well-posedness of the Cauchy problem for the 3D Jordan–Moore–Gibson–Thompson equation
• Galerkin method for nonlocal mixed boundary value problem for the Moore‐Gibson‐Thompson equation with integral condition
• The \(L_2\) solvability of a nonlocal problem with integral conditions for a hyperbolic equation

This page was built for publication: Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition