Zobrazeno 1 - 10
of 89 287
pro vyhledávání: '"weak solutions"'
Autor:
Li, Siran, Yang, Jianing
We are concerned with the compressible barotropic Navier--Stokes equations for a $\gamma$-law gas with density-dependent bulk viscosity coefficient $\lambda=\lambda(\rho)=\rho^\beta$ on the two-dimensional periodic domain $\mathbb{T}^2$. The global e
Externí odkaz:
http://arxiv.org/abs/2412.01226
Autor:
Bhatnagar, Manas, Young, Robin
We present a variation of the Front Tracking (FT) method for modeling solutions to hyperbolic systems in one space dimension, a Modified FT scheme. Instead of using non-entropic shocks, we approximate simple waves by jumps which exactly match the sta
Externí odkaz:
http://arxiv.org/abs/2411.09086
In this manuscript, we aim to establish global existence of weak solutions with higher regularity to the compressible Navier-Stokes equations under no-slip boundary conditions. Though Lions\cite{L1} and Feireisl\cite{F1} have established global weak
Externí odkaz:
http://arxiv.org/abs/2411.02007
Autor:
Boutros, Daniel W., Titi, Edriss S.
Classical solutions of the three-dimensional Euler equations of an ideal incompressible fluid conserve the helicity. We introduce a new weak formulation of the vorticity formulation of the Euler equations in which (by implementing the Bony paradiffer
Externí odkaz:
http://arxiv.org/abs/2410.00813
Autor:
Glitzky, Annegret, Liero, Matthias
We establish a novel uniqueness result for an instationary drift-diffusion model for perovskite solar cells. This model for vacancy-assisted charge transport uses Fermi--Dirac statistics for electrons and holes and Blakemore statistics for the mobile
Externí odkaz:
http://arxiv.org/abs/2411.18223
Autor:
Jaiswal, Ram Gopal, Giri, Ankik Kumar
A mathematical model for the continuous nonlinear fragmentation equation is considered in the presence of mass transfer. In this paper, we demonstrate the existence of mass-conserving weak solutions to the nonlinear fragmentation equation with mass t
Externí odkaz:
http://arxiv.org/abs/2411.15561
For a generalization of the Gellerstedt operator with mixed-type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem. The c
Externí odkaz:
http://arxiv.org/abs/2411.12116