Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy

Keyphrases

• Gradient Flow 100%
• Memory Effect 100%
• Integer Order 100%
• Time-fractional 100%
• Time-fractional Gradient Flows 100%
• Numerical Scheme 50%
• Energy Functional 50%
• Galerkin Approach 25%
• State Function 25%
• Rigorous Analysis 25%
• Fokker-Planck Equation 25%
• Steepest Descent 25%
• System of Ordinary Differential Equations 25%
• Well-posedness 25%
• Extension Domains 25%
• Innate Memory 25%
• Cahn-Hilliard 25%
• Nonlocal in Time 25%
• Time-fractional Partial Differential Equations 25%
• Faedo-Galerkin 25%
• Caffarelli-Silvestre Extension 25%
• Ginzburg-Landau Free Energy 25%
• Fractional Laplacian 25%

Mathematics

• Integer 100%
• Gradient Flow 100%
• Memory Effect 100%
• Energy Functional 28%
• Numerical Scheme 28%
• System Of Ordinary Differential Equations 14%
• Steepest Descent 14%
• Open Problem 14%
• Fokker Planck Equation 14%
• Fractional Laplacian 14%
• Fractional Partial Differential Equation 14%
• Posedness 14%
• State Function 14%