Xiaoding Shi
Beijing University of Chemical Technology
38 Papers
73 Citations
Xiaoding Shi is an academic researcher from Beijing University of Chemical Technology. The author has contributed to research in topics: Boundary value problem & Thermal conductivity. The author has an hindex of 6, co-authored 34 publications.
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Papers
Global strong solution to a thermodynamic compressible diffuse interface model with temperature-dependent heat conductivity in 1D
Abstract: In this paper, we investigate the wellposedness of the nonisentropic compressible Navier–Stokes/Allen–Cahn system with the heat conductivity proportional to a positive power of the temperature. This system describes the flow of a two‐phase immiscible heat‐conducting viscous compressible mixture. The phases are allowed to shrink or grow due to changes of density in the fluid and incorporates their transport with the current. We established the global existence and uniqueness of strong solutions for this system in 1D, which means no phase separation, vacuum, shock wave, mass, or heat or phase concentration will be developed in finite time, although the motion of the two‐phase immiscible flow has large oscillations and the interaction between the hydrodynamic and phase‐field effects is complex. Our result can be regarded as a natural generalization of the Kazhikhov–Shelukhin's result (Kazhikhov and Shelukhin, 1977) for the compressible single‐phase flow with constant heat conductivity to the non‐isentropic compressible immiscible two‐phase flow with degenerate and nonlinear heat conductivity.
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On the Stability of Rarefaction Wave Solutions for Viscous p-system with Boundary Effect
TL;DR: In this paper, the inflow problem in the supersonic case for a one-dimensional compressible viscous gas on the half line (0,+∞) is investigated.
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Global strong solutions to compressible Navier–Stokes system with degenerate heat conductivity and density-depending viscosity
Bin Huang,Xiaoding Shi,Ying Sun +2 more
TL;DR: In this article, the existence and uniqueness of global strong solutions for the Navier-Stokes system under stress-free and thermally insulated boundary conditions was shown. But the results were restricted to the case where the heat conductivity is proportional to a positive power of the temperature.
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Asymptotic stability of solutions for 1-D compressible Navier–Stokes–Cahn–Hilliard system
TL;DR: In this paper, the evolution of the periodic boundary value problem and the mixed boundary value problems for a compressible mixture of binary fluids modeled by the Navier-Stokes-Cahn-Hilliard system in one dimensional space are studied.
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Numerical simulation of 2D unsteady shear-thinning non-Newtonian incompressible fluid in screw extruder with fictitious domain method
TL;DR: A fictitious domain method with Distributed Lagrange Multipliers for simulating 2D unsteady shear-thinning non-newtonian incompressible flow in a single-Screw and twin-screw extruder, eliminating the need for repeated remeshing and projection.
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