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The Heat Kernel on the Diagonal for a Compact Metric Graph
We analyze the heat kernel associated with the Laplacian on a compact metric graph, with standard Kirchhoff–Neumann vertex conditions. An explicit...
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Special functions for heat kernel expansion
In this paper, we study an asymptotic expansion of the heat kernel for a Laplace operator on a smooth Riemannian manifold without a boundary at...
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Negative heat capacity in low-dimensional systems using non-local kernel approach
Thermodynamical systems having negative heat capacity are characterised by peculiar behaviours, yet they have been reported in several systems...
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New heat kernel method in Lifshitz theories
We develop a new heat kernel method that is suited for a systematic study of the renormalization group flow in Hořava gravity (and in Lifshitz field...
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Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel
We give sharp conditions for the large time asymptotic simplification of aggregation-diffusion equations with linear diffusion. As soon as the...
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Moore–Gibson–Thompson generalized heat conduction in a thick plate
The present article motivates great interests on the constitutive modeling of thermoelastic coupling behavior in a transversely isotropic thick plate...
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Heat kernel: Proper-time method, Fock–Schwinger gauge, path integral, and Wilson line
AbstractThis paper is devoted to the proper-time method and describes a model case that reflects the subtleties of constructing the heat kernel,...
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Generalized Heat Equation with the Caputo–Fabrizio Fractional Derivative for a Nonsimple Thermoelastic Cylinder with Temperature-Dependent Properties
AbstractIn the current paper, a generalized thermoelastic model with two-temperature characteristics, including a heat transfer equation with...
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Series solution of time-fractional mhd viscoelastic model through non-local kernel approach
The study of ramped condition in the context of unsteady incompressible magnetohydrodynamic Casson fluid flow over a moving vertical plate is a...
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Photothermoelastic survey with memory-dependent response for a rotating solid cylinder under varying heat flux via dual phase lag model
Studying the effects of plasma and heat on semiconductor structures involves simulating a complex system using simultaneous analysis of heat waves,...
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The influence of a non-local Moore–Gibson–Thompson heat transfer model on an underlying thermoelastic material under the model of memory-dependent derivatives
In this article, a modified Moore–Gibson–Thompson heat transfer equation with a memory-dependent derivative is utilized to investigate the...
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Modeling Heat and Mass Transfer during Periodical Spraying of a High-Temperature Heat-Resistant Coating
AbstractThe article poses and analytically solves the problem of heat and mass transfer during a periodic spraying of a high-temperature dispersed...
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Heat kernel coefficients on the sphere in any dimension
We derive all heat kernel coefficients for Laplacians acting on scalars, vectors, and tensors on fully symmetric spaces, in any dimension. Final...
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Nonlocal thermoelastic vibration of a solid medium subjected to a pulsed heat flux via Caputo–Fabrizio fractional derivative heat conduction
An advanced model is developed to analyze the thermoelastic vibrations of a nonlocal isotropic solid medium subjected to a pulsed heat flux using...
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Effect of heat losses in the temperature transducer in measurements in hotshot wind tunnels
The study is aimed at measuring the gas flow temperature by thermocouples whose time of reaching the equilibrium temperature is comparable with the...
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Nonlocal Heat Transfer in a Laser Inertial Confinement Fusion for the Direct Irradiation Scheme
High gradients of electron temperature appear in plasma corona under direct laser irradiation of inertial confinement fusion targets. This results in...
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New semi-analytical solution of fractional Newell–Whitehead–Segel equation arising in nonlinear optics with non-singular and non-local kernel derivative
In this paper, a combined form of Laplace transform is applied with the Adomian Decomposition technique for the first time to obtain new...
