54 research outputs found
Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum
No full textThe effect of merchandise assortment on retail brand: based on customer-based brand equity
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On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary
No full textStability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier–Stokes–Poisson system
No full textConvergence rate of stationary solutions to outflow problem for full Navier–Stokes equations
No full textLarge Time Behavior of Solutions to Cauchy Problem for 1-D Compressible Isentropic Navier-Stokes/Allen-Cahn System
Get PDFThis paper is concerned with the large time behavior of the solutions to the Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system with the immiscible two-phase flow initially located near the phase separation state. Under the assumptions that the initial data is a small perturbation of the constant state, we prove the global existence and uniqueness of the solutions and establish the time decay rates of the solution as well as its higher-order spatial derivatives. Moreover, we derive that the solutions of the system are time asymptotically approximated by the solutions of the modified parabolic system and obtain decay rates in and . Furthermore, we show that the solution of the system is time asymptotically approximated in by the diffusion waves.26 page
On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary
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