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Analysis and numerical approximation of a parabolic-hyperbolic transmission problem

Boško Jovanović, Lubin Vulkov (2012)

Open Mathematics

In this paper we investigate a mixed parabolic-hyperbolic initial boundary value problem in two disconnected intervals with Robin-Dirichlet conjugation conditions. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate is obtained.

Initial-boundary value problems for quasilinear dispersive equations posed on a bounded interval.

Faminskii, Andrei V., Larkin, Nikolai A. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regime

Yuming Qin, Xiuqing Wang, Junchen Liu (2025)

Applications of Mathematics

We consider the 2D magnetic Prandtl equation in the Prandtl-Hartmann regime in a periodic domain and prove the local existence and uniqueness of solutions by energy methods in a polynomial weighted Sobolev space. On the one hand, we have noted that the $x$ -derivative of the pressure $P$ plays a key role in all known results on the existence and uniqueness of solutions to the Prandtl-Hartmann regime equations, in which the case of favorable $P$ $...$

On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.

Ashyralyev, Allaberen, Gercek, Okan (2010)

Abstract and Applied Analysis

Displaying 1 – 4 of 4

Analysis and numerical approximation of a parabolic-hyperbolic transmission problem

Initial-boundary value problems for quasilinear dispersive equations posed on a bounded interval.

Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regime

On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.

Currently displaying 1 – 4 of 4