Zobrazeno 1 - 10
of 291
pro vyhledávání: '"P Tzavaras"'
We consider nonlinear Vlasov-type equations involving powers of the zero-order moment and obtain a local existence and uniqueness result within a framework of analytic functions. The proof employs a Banach fixed point argument, where a contraction ma
Externí odkaz:
http://arxiv.org/abs/2412.04581
We consider the system of viscoelasticity with higher-order gradients and nonconvex energy in several space dimensions. We establish the asymptotic limits when the viscosity $\nu\rightarrow 0$ or when the dispersion coefficient $\delta \rightarrow 0$
Externí odkaz:
http://arxiv.org/abs/2410.17115
We establish a uniform estimate for a bilinear fractional integral operator via restricted weak-type endpoint estimates and Marcinkiewicz interpolation. This estimate is crucial in the integrability analysis of a tensor-valued bilinear fractional int
Externí odkaz:
http://arxiv.org/abs/2409.18309
We show that under natural growth conditions on the entropy function, convergence in relative entropy is equivalent to $L_p$-convergence. The main tool is the theory of Young measures, in a form that accounts for the formation of concentrations in we
Externí odkaz:
http://arxiv.org/abs/2409.16892
In this paper we give a short and self-contained proof of the fact that weak solutions to the Maxwell-Stefan system automatically satisfy an entropy equality, establishing the absence of anomalous dissipation.
Externí odkaz:
http://arxiv.org/abs/2407.10134
Autor:
Tzavaras, Athanasios E.
We construct examples of oscillating solutions with persistent oscillations for various hyperbolic-parabolic systems with singular diffusion matrices that appear in mechanics. These include, an example for the equations of nonlinear viscoelasticity o
Externí odkaz:
http://arxiv.org/abs/2404.18457
Autor:
Tzavaras, Athanasios E.
In the first part of this article we present some exact solutions for special hyperbolic-parabolic systems with sustained oscillations induced by the initial data, most notably the compressible Navier-Stokes system with non-monotone pressure. This pa
Externí odkaz:
http://arxiv.org/abs/2404.18455
The Serre-Green-Naghdi equations of water wave theory have been widely employed to study undular bores. In this study, we introduce a modified Serre-Green-Naghdi system incorporating the effect of an artificial term that results in dispersive and dis
Externí odkaz:
http://arxiv.org/abs/2401.12411
We consider the incompressible axisymmetric Navier-Stokes equations with swirl as an idealized model for tornado-like flows. Assuming an infinite vortex line which interacts with a boundary surface resembles the tornado core, we look for stationary s
Externí odkaz:
http://arxiv.org/abs/2311.10575
The derivation of an approximate Class-I model for nonisothermal multicomponent systems of fluids, as the high-friction limit of a Class-II model is justified, by validating the Chapman-Enskog expansion performed from the Class-II model towards the C
Externí odkaz:
http://arxiv.org/abs/2311.10546