Zobrazeno 1 - 10
of 5 421
pro vyhledávání: '"35L65"'
Publikováno v:
Journal of Differential Equations, Volume 382, Pages 1-49, 2024
This article is concerned with the existence of solution to the stochastic Degasperis-Procesi equation on $\mathbb{R}$ with an infinite dimensional multiplicative noise and integrable initial data. Writing the equation as a system composed of a stoch
Externí odkaz:
http://arxiv.org/abs/2409.02723
Instead of ensuring that fluxes across edges add up to zero, we split the edge in two halves and also associate different fluxes to each of its sides. This is possible due to non-standard Riemann solvers with free parameters. We then enforce conserva
Externí odkaz:
http://arxiv.org/abs/2408.13506
Autor:
Arun, K. R., Ghorai, R.
In this paper, we study an asymptotic preserving (AP), energy stable and positivity preserving semi-implicit finite volume scheme for the Euler-Poisson-Boltzmann (EPB) system in the quasineutral limit. The key to energy stability is the addition of a
Externí odkaz:
http://arxiv.org/abs/2408.08029
In this paper we present a new first-order hyperbolic reformulation of the Cahn-Hilliard equation. The model is obtained from the combination of augmented Lagrangian techniques proposed earlier by the authors of this paper, with a classical Cattaneo-
Externí odkaz:
http://arxiv.org/abs/2408.03862
We establish local-in-time existence and uniqueness results for nonlocal conservation laws in several space dimensions under weak (that is, Sobolev or BV) differentiability assumptions on the convolution kernel. In contrast to the case of a smooth ke
Externí odkaz:
http://arxiv.org/abs/2408.02423
We consider the p-system in Eulerian coordinates on a star-shaped network. Under suitable transmission conditions at the junction and dissipative boundary conditions in the exterior vertices, we show that the entropy solutions of the system are expon
Externí odkaz:
http://arxiv.org/abs/2407.21137
Autor:
Frew, Jack, Keyser, Nigel, Kim, Ethan, Paddock, Griffin, Toumbleston, Camden, Wilson, Sara, Tsikkou, Charis
We consider a system of two balance laws of Keyfitz-Kranzer type with varying generalized Chaplygin gas, which exhibits negative pressure and is a product of a function of time and the inverse of a power of the density. The Chaplygin gas is a fluid d
Externí odkaz:
http://arxiv.org/abs/2407.20869
The Carrollian fluid equations arise as the $c \to 0$ limit of the relativistic fluid equations and have recently experienced a surge of activity in the flat-space holography community. However, the rigorous mathematical well-posedness theory for the
Externí odkaz:
http://arxiv.org/abs/2407.05972
In this paper, we show that a geometrical condition on $2\times2$ systems of conservation laws leads to non-uniqueness in the class of 1D continuous functions. This demonstrates that the Liu Entropy Condition alone is insufficient to guarantee unique
Externí odkaz:
http://arxiv.org/abs/2407.02927
Autor:
Creff, Melvin, Guermond, Jean-Luc
The paper considers standard iterative methods for solving the generalized Stokes problem arising from the time and space approximation of the time-dependent incompressible Navier-Stokes equations. Various preconditioning techniques are considered (C
Externí odkaz:
http://arxiv.org/abs/2407.01783