Weak solutions to the time-fractional \(g\)-Bénard equations

DOI10.1186/s13661-022-01649-3OpenAlexW3096242846MaRDI QIDQ2098262

Khalid Akhlil, Khadija Aayadi, Hicham Mahdioui, Sultana Ben Aadi

Publication date: 17 November 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01545

zbMATH Keywords

fractional calculus\(g\)-Navier-Stokes equations\(g\)-Bénard model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) General theory of partial differential operators (47F05) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A priori estimates for solutions of boundary value problems for fractional-order equations
• On the time-fractional Navier-Stokes equations
• Joseph Boussinesq and his approximation: a contemporary view
• The Bénard problem for deep convection: Rigorous derivation of approximate equations
• The finite-dimensional uniform attractors for the nonautonomous \(g\)-Navier-Stokes equations
• Existence of solutions of the \(g\)-Navier-Stokes equations
• Reaction-diffusion equation on thin domains
• Fractional thermoelasticity
• Pullback attractor of 2D nonautonomous \(g\)-Navier-Stokes equations with linear dampness
• \(g\)-Navier-Stokes equations with infinite delays
• On analytical solution of time-fractional biological population model by means of generalized integral transform with their uniqueness and convergence analysis
• Weak solutions to the time-fractional \(g\)-Navier-Stokes equations and optimal control
• A Damped Hyperbolic Equation on Thin Domains
• The fundamental solution of the space-time fractional diffusion equation
• Fractional kinetic equations: solutions and applications
• Time-Fractional Differential Equations
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Fractional variational calculus in terms of Riesz fractional derivatives
• Handbook of Fractional Calculus for Engineering and Science

This page was built for publication: Weak solutions to the time-fractional \(g\)-Bénard equations