Entropy solutions for a nonlinear unilateral p(x) parabolic problems with f - div F data

Mekkour, Mounir

doi:10.56947/gjom.v6i4.245

Cited by 3 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For other works in this direction, see [11,16]. The aim of our paper is to extend the results in [10] , to the case of a monotone graph β instead of a continuous and monotone function b.…”

Section: Introductionmentioning

confidence: 88%

Existence and uniqueness of renormalized solutions to nonlinear multivalued parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent

Kyelem

Zongo

2022

GJOM

View full text Add to dashboard Cite

show abstract

“…For other works in this direction, see [11,16]. The aim of our paper is to extend the results in [10] , to the case of a monotone graph β instead of a continuous and monotone function b.…”

Section: Introductionmentioning

confidence: 88%

Existence and uniqueness of renormalized solutions to nonlinear multivalued parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent

Kyelem

Zongo

2022

GJOM

View full text Add to dashboard Cite

show abstract

“…For investigations into fourth-order degenerate parabolic equations in one spatial dimension, refer to the work in [8]. Given the significance of this topic, recent studies have delved into the existence and uniqueness of differential equations, as evidenced in [3,4,5,16,21,25,27,31,32,33,37].…”

Section: Introductionmentioning

confidence: 99%

Global existence of a pair of coupled Cahn-Hilliard equations with nondegenerate mobility and logarithmic potential

Harfash,

Al-Musawi

2024

GJOM

View full text Add to dashboard Cite

We conducted a mathematical investigation on a system of interconnected Cahn-Hilliard equations featuring a logarithmic potential, nondegenerate mobility, and homogeneous Neumann boundary conditions. This system emerges from a model depicting the phase separation of a binary liquid mixture in a thin film. Assuming certain conditions on the initial data, we successfully established the existence, uniqueness, and stability estimates for the weak solution. Our approach involved initially replacing the logarithmic potential with a smooth counterpart, resulting in the regularization of the original problem (Q) into a regularized problem (Qε). Utilizing the Faedo-Galerkin method and compactness arguments, we demonstrated the existence and uniqueness of a solution for (Qε). Subsequently, by letting ε approach zero, we attained the existence of a solution for the original problem (Q). Additionally, we addressed higher regularity aspects of the weak solutions for both (Q) and (Qε). Employing the standard regularity theory for elliptic problems and introducing additional assumptions regarding the domain's boundary and the initial data, we established that the weak solutions belong to higher-order Sobolev spaces.

show abstract

“…Immediately after Shannon gave his measure, research workers in many fields saw the potential of the application of this expression and consequently developed a variety of entropy models for providing applications to numerous disciplines. Recently, Mekkour [9] and Haji, Moumni and Talha [4] extended the applications of this entropic model in finding the entropy solutions for nonlinear parabolic equations.…”

Section: Introductionmentioning

confidence: 99%

Weighted parametric divergence models for discrete probability distributions

Sarangal¹

2022

GJOM

View full text Add to dashboard Cite

In the literature of information measures, it is well acknowledged phenomenon that distance models in probability spaces discover incredible applications in a diversity of disciplines related with science and technology. The significance of these models after attaching weights to the occurring events cannot be disregarded. The present communication is a footstep in the construction of such divergence models. We have developed two new weighted parametric divergence models for the discrete probability distributions and proved their legitimacy after studying their indispensable properties.

show abstract

Entropy solutions for a nonlinear unilateral p(x) parabolic problems with f - div F data

Abstract: We study the nonlinear p(x) parabolic problems with obstacle and f - divF data.

Cited by 3 publications

References 9 publications

Existence and uniqueness of renormalized solutions to nonlinear multivalued parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent

Existence and uniqueness of renormalized solutions to nonlinear multivalued parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent

Global existence of a pair of coupled Cahn-Hilliard equations with nondegenerate mobility and logarithmic potential

Weighted parametric divergence models for discrete probability distributions

Contact Info

Product

Resources

About