activity
20222026
most citedHeat equations beyond Fourier: from heat waves to thermal metamaterials

1 citations · 3 across the 7 of their papers we have counts for

collaborators

8 papers

physics.app-ph2026

Origin of effective non-Fourier heat conduction phenomena in heterogeneous materials

Róbert Kovács

Phenomenological models of non-Fourier heat conduction often lack a strict microstructural foundation, leading to ambiguities when modeling complex heterogeneous materials. In this…

physics.app-ph2026

Thermodynamically consistent initialization of the Maxwell--Cattaneo---Vernotte heat conduction model: Analytical solutions and engineering applications

Zalán Sándor, Róbert Kovács

This paper investigates the numerical initialization of the one-dimensional Maxwell--Cattaneo--Vernotte (MCV) heat conduction model, addressing the critical mathematical challenge…

physics.app-ph2025

Discovering correlations between metal foam thermal characteristics and non-Fourier behavior

Anna Fehér, Dániel Cseh, Róbert Kovács

Due to their low density and large specific surface area, metal foams are increasingly used as cellular materials that combine excellent structural and thermal properties. Their ce…

math.NA2025

The piston effect in supercritical fluids investigated via a reversible-irreversible vector field splitting-based explicit time integration scheme

Donát M. Takács, Tamás Fülöp, Róbert Kovács +1

In the vicinity of the liquid--vapor critical point, supercritical fluids behave strongly compressibly and, in parallel, thermophysical properties have strong state dependence. The…

physics.app-ph2024★ 1 cited

Investigating the whirling heat current density in the Guyer--Krumhansl equation

Mátyás Szücs, Carmelo Filippo Munafo, Róbert Kovács

Among the numerous heat conduction models, the Guyer--Krumhansl equation has a special role. Besides its various application possibilities in nanotechnology, cryotechnology, and ev…

cond-mat.stat-mech2023★ 1 cited

Heat equations beyond Fourier: from heat waves to thermal metamaterials

Róbert Kovács

In the past decades, numerous heat conduction models beyond Fourier have been developed to account for the large gradients, fast phenomena, wave propagation, or heterogeneous mater…

math.NA2022★ 1 cited

Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics

Balázs Tóth, Zsombor Molnár, Róbert Kovács

Thanks to modern manufacturing technologies, heterogeneous materials with complex inner structures (e.g., foams) can be easily produced. However, their utilization is not straightf…

physics.class-ph2022

The role of the initial states for non-Fourier heat equations

Róbert Kovács

There are several models for heat conduction - non-Fourier equations - in the literature that are important for various practical problems. These models manifest themselves in part…