WebJul 1, 2024 · The equations of SMHD form a symmetric hyperbolic system which is formally analogous to the system of 2D compressible elastodynamics for particular nonphysical … Webcompressible elastodynamics Yuri Trakhinin SobolevInstituteofMathematics,Koptyugav. 4,630090Novosibirsk,Russia and ... by the Kreiss symmetrization technique [16]. It is worth noting that the well-posedness of the incompressible counterpart of problem (1), (6) was not established in [9].
On the propagation of weak shock waves in compressible ...
WebSep 1, 1993 · Structural stability of shock waves in 2D compressible elastodynamics. Mathematische Annalen 2024-12-26 Journal article DOI: 10.1007/s00208-019 ... Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results. Physica D: Nonlinear Phenomena WebThe stability and existence of compressible vortex sheets is studied for two-dimensional isentropic elastic flows. This problem has a free boundary with extra difficulties that the boundary is characteristic and the Kreiss-Lopatinskii condition holds only in a weak sense. A necessary and sufficient condition is obtained for the linear stability of the rectilinear … emigh\u0027s casual living
On weak stability of shock waves in 2D compressible elastodynamics
Webproved the global existence of classical solutions to the 3D compressible elas-todynamics under a null condition. For 3D incompressible elastodynamics, the Hookean part of the system is inherently degenerate and satisfies a null condi-tion. The global existence was established by Sideris and Thomases in [38,40]. WebMay 4, 2024 · Other authors have already investigated coupled continuous–discontinuous Galerkin methods for multi-phase flows (Landet et al. 2015), coupled Navier–Stokes and Darcy equations (Dawson 2008), fluid-structure interactions (Chidyagwai & Rivière 2010) or acousto-elastic waves (Ye et al. 2016), but the coupled Navier–Stokes and … WebFeb 16, 2024 · We consider 3D free-boundary compressible elastodynamic system under the Rayleigh-Taylor sign condition. It describes the motion of an isentropic inviscid elastic medium with moving boundary. The deformation tensor satisfies the neo-Hookean linear elasticity. The local well-posedness was proved by Trakhinin [84] by Nash-Moser iteration. … dps claim for television