The existence and asymptotic behavior of solutions to 3D viscous primitive equations with Caputo fractional time derivatives

DOI10.1063/5.0175409OpenAlexW4391177957WikidataQ129412626 ScholiaQ129412626MaRDI QIDQ6188558

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Publication date: 7 February 2024

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

Full work available at URL: https://doi.org/10.1063/5.0175409

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere
• Weak solutions of the time-fractional Navier-Stokes equations and optimal control
• Describing function based methods for predicting chaos in a class of fractional order differential equations
• Generation of nonlocal fractional dynamical systems by fractional differential equations
• Fractional Navier-Stokes equations
• Continuous and discrete one dimensional autonomous fractional ODEs
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• The fractional-order Lorenz-type systems: a review
• Semi-dynamical systems generated by autonomous Caputo fractional differential equations
• Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• Fractional derivatives of solutions of the Navier-Stokes equations
• Comparing Fréchet and positive stable laws
• Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
• Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics
• New formulations of the primitive equations of atmosphere and applications
• On the 2D model of large-scale atmospheric motion: well-posedness and attractors
• A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs
• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
• Uniqueness of the weak solution to the fractional anisotropic Navier‐Stokes equations
• Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels

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