NONLINEAR STABILITY OF VISCOUS SHOCK WAVES FOR ONE-DIMENSIONAL NONISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A CLASS OF LARGE INITIAL PERTURBATION
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(18)30797-5
Abstract: Abstract We study the nonlinear stability of viscous shock waves for the Cauchy problem of one-dimensional nonisentropic compressible Navier–Stokes equations for a viscous and heat conducting ideal polytropic gas. The viscous shock waves are shown… read more here.
Keywords: one dimensional; stability viscous; shock waves; nonlinear stability ... See more keywords
Asymptotic stability of viscous shocks in the modular Burgers equation
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DOI: 10.1088/1361-6544/ac0f4f
Abstract: Dynamics of viscous shocks is considered in the modular Burgers equation, where the time evolution becomes complicated due to singularities produced by the modular nonlinearity. We prove that the viscous shocks are asymptotically stable under… read more here.
Keywords: general perturbations; modular burgers; viscous shocks; burgers equation ... See more keywords
The global stability of 2-D viscous axisymmetric circulatory flows
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DOI: 10.3934/dcds.2017219
Abstract: In this paper, we study the global existence and stability problem of a perturbed viscous circulatory flow around a disc. This flow is described by two-dimensional Navier-Stokes equations. By introducing some suitable weighted energy space… read more here.
Keywords: axisymmetric circulatory; circulatory; stability viscous; global stability ... See more keywords