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Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping [PDF]

Mathematica Moravica, 2021
A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow
Ferreira Jorge, Pışk˙ın Erhan, Irkıl Nazlı, Raposo Carlos A.   +3 more
doaj   +1 more source

Global solutions and exponential decay to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping and nonlinear logarithmic source term

Partial Differential Equations in Applied Mathematics, 2021
This paper is concerned with the existence and exponential stability of the global solution to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping −Δutand logarithmic source term uln|u|R2.
S.M.S. Cordeiro, D.C. Pereira, J. Ferreira, C.A. Raposo   +3 more
doaj   +1 more source

Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source

Advances in Mathematical Physics, 2021
In this work, we study a plate equation with time delay in the velocity, frictional damping, and logarithmic source term. Firstly, we obtain the local and global existence of solutions by the logarithmic Sobolev inequality and the Faedo-Galerkin method ...
Hazal Yüksekkaya, Erhan Pișkin, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif, Sulima Ahmed Zubair   +4 more
doaj   +1 more source

Global Existence of Solutions for the Viscoelastic Kirchhoff Equation with Logarithmic Source Terms

Complexity, 2020
In this paper, a nonlinear viscoelastic Kirchhoff equation in a bounded domain with a time-varying delay term and logarithmic nonlinearity in the weakly nonlinear internal feedback is considered, where the global and local existence of solutions in suitable Sobolev spaces by means of the energy method combined with Faedo-Galerkin procedure is proved ...
Nadia Mezouar, Salah Mahmoud Boulaaras, Ali Allahem   +2 more
openaire   +2 more sources

On Behavior of Solutions for Nonlinear Klein–Gordon Wave Type Models with a Logarithmic Nonlinearity and Multiple Time-Varying Delays

Axioms, 2023
In this paper, we study the existence and exponential stability of solutions to a class of nonlinear delay Klein–Gordon wave type models on a bounded domain.
Aziz Belmiloudi
doaj   +1 more source

On the Global Behaviour of Solutions for a Delayed Viscoelastic-Type Petrovesky Wave Equation with p-Laplacian Operator and Logarithmic Source

Mathematics, 2022
This research is concerned with a nonlinear p-Laplacian-type wave equation with a strong damping and logarithmic source term under the null Dirichlet boundary condition.
Bochra Belhadji, Jehad Alzabut, Mohammad Esmael Samei, Nahid Fatima   +3 more
doaj   +1 more source

A class of fourth-order parabolic equation with logarithmic nonlinearity

Journal of Inequalities and Applications, 2018
In this paper, we study a class of fourth-order parabolic equation with the logarithmic nonlinearity. By using the potential well method, we obtain the existence of the unique global weak solution. In addition, we also obtain results of decay and blow-up
Pingping Li, Changchun Liu
doaj   +1 more source

Unilateral Problem for a Viscoelastic Beam Equation Type p-Laplacian with Strong Damping and Logarithmic Source

European Journal of Mathematical Analysis, 2022
In this manuscript, we investigate the unilateral problem for a viscoelastic beam equation of p-Laplacian type. The competition of the strong damping versus the logarithmic source term is considered. We use the potential well theory.
Ducival C. Pereira, Geraldo M. de Araújo, Carlos A. Raposo   +2 more
doaj   +1 more source

On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up

Journal of Inequalities and Applications, 2023
This paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existence results of solutions are obtained using the
Nazlı Irkıl, Khaled Mahdi, Erhan Pişkin, Mohammad Alnegga, Salah Boulaaras   +4 more
doaj   +1 more source

Blow-Up of Solution of Lamé Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms

Mathematics, 2023
In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the condition of non-positive initial energy.
Amina Benramdane, Nadia Mezouar, Fatna Bensaber, Salah Boulaaras, Rashid Jan   +4 more
openaire   +2 more sources