Nonlinear evolution of disturbances in higher time-derivative theories
Sign Up to like & getrecommendations! Published in 2024 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2024)199
Abstract: We investigate the evolution of localized initial value profiles when propagated in integrable versions of higher time-derivative theories. In contrast to the standard cases in nonlinear integrable systems, where these profiles evolve into a specific… read more here.
Keywords: evolution; time; soliton solutions; time derivative ... See more keywords
On Maximal Regularity for Abstract Parabolic Problems with Fractional Time Derivative
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1309-y
Abstract: We consider initial value problems for abstract evolution equations with fractional time derivative. Concerning the Caputo derivative $$\mathbb {D}^\alpha u$$Dαu, we show that certain assumptions, which are known to be sufficient to get a unique… read more here.
Keywords: time derivative; regularity abstract; regularity; maximal regularity ... See more keywords
Optimal Control of Diffusion Equation with Fractional Time Derivative with Nonlocal and Nonsingular Mittag-Leffler Kernel
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1305-6
Abstract: In this paper, we consider a diffusion equation with fractional time derivative with nonsingular Mittag-Leffler kernel in Hilbert spaces. We first prove the existence and uniqueness of solution by means of a spectral argument. Then,… read more here.
Keywords: equation fractional; fractional time; nonsingular mittag; time derivative ... See more keywords
The evolution of vortices determines the aeroacoustics generated by a hovering wing
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2024.1065
Abstract: Abstract The effects of the evolution of vortices on the aeroacoustics generated by a hovering wing are numerically investigated by using a hybrid method of an immersed boundary–finite difference method for the three-dimensional incompressible flows… read more here.
Keywords: evolution; hovering wing; time derivative; evolution vortices ... See more keywords
Monotonicity, Gibbons' conjecture and Liouville theorem for the nonlocal Monge-Ampere problem with the Marchaud time derivative
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DOI: 10.1142/s021953052650020x
Abstract: In this paper, we primarily establish maximum principles for the nonlocal Monge-Ampère problem with the Marchaud time derivative, and apply these principles to study the monotonicity, Gibbons’ conjecture and Liouville theorem for a class of… read more here.
Keywords: liouville theorem; gibbons conjecture; time; time derivative ... See more keywords
Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories
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DOI: 10.3390/ma15072432
Abstract: This article introduces magneto-thermoelastic exchanges in an unbounded medium with a spherical cavity. A refined multi-time-derivative dual-phase-lag thermoelasticity model is applied for this reason. The surface of the spherical hole is considered traction-free and under… read more here.
Keywords: unbounded medium; multi time; magneto thermoelastic; spherical hole ... See more keywords
A Numerical Solution of a Coupling System of Conformable Time-Derivative Two-Dimensional Burgers’ Equations
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DOI: 10.46793/kgjmat2401.007m
Abstract: In this paper, we deal with a numerical solution of a coupling system of fractional conformable time-derivative two-dimensional (2D) Burgers’ equations. The presence of both the fractional time derivative and the nonlinear terms in this… read more here.
Keywords: system; conformable time; numerical solution; solution ... See more keywords