AbstractWe give a refinement of Lemma 2.2 in [D. Hoff, J.A. Smoller, Non-formation of vacuum states for compressible Navier–Stokes equations, Comm. Math. Phys. 216 (2001) 255–276] and complete the proof of non-formation of vacuum states for one-dimensional compressible Navier–Stokes equation given there
A classical result of Gilbarg states that a simple shock wave solution of Euler's equations is compr...
We are concerned with the formation of singularities and the existence of global continuous solution...
AbstractWe consider the compressible barotropic Navier-Stokes system in one dimension, with a nonmon...
We prove that weak solutions of the Navier–Stokes equations for compressible fluid flow in one space...
AbstractWhen boundary data is introduced, additional terms are introduced into the weak formulation ...
We prove that no vacuum state exists for the single-piston and double-piston problem for Navier-Stok...
AbstractIn this paper, we will investigate the global existence of solutions for the one-dimensional...
AbstractIn this survey paper, we will present the recent work on the study of the compressible fluid...
Finally, we prove that weak solutions to the compressible Navier-Stokes equations with the Navier bo...
AbstractThe dynamical behaviors of vacuum states for one-dimensional compressible Navier–Stokes equa...
We investigate the global stability and non-vanishing vacuum states of large solutions to the compre...
The well-posedness of classical solutions with finite energy to the compressible Navier–Stokes equat...
The dynamical behavior of vacuum states for one-dimensional compressible Navier-Stokes (CNS) equatio...
AbstractThis is a continuation of the paper (Comm. Math. Phys. 230 (2002) 329) on the study of the c...
Abstract. The global stability of rarefaction waves in a broad class of entropy solutions in L ∞ con...
A classical result of Gilbarg states that a simple shock wave solution of Euler's equations is compr...
We are concerned with the formation of singularities and the existence of global continuous solution...
AbstractWe consider the compressible barotropic Navier-Stokes system in one dimension, with a nonmon...
We prove that weak solutions of the Navier–Stokes equations for compressible fluid flow in one space...
AbstractWhen boundary data is introduced, additional terms are introduced into the weak formulation ...
We prove that no vacuum state exists for the single-piston and double-piston problem for Navier-Stok...
AbstractIn this paper, we will investigate the global existence of solutions for the one-dimensional...
AbstractIn this survey paper, we will present the recent work on the study of the compressible fluid...
Finally, we prove that weak solutions to the compressible Navier-Stokes equations with the Navier bo...
AbstractThe dynamical behaviors of vacuum states for one-dimensional compressible Navier–Stokes equa...
We investigate the global stability and non-vanishing vacuum states of large solutions to the compre...
The well-posedness of classical solutions with finite energy to the compressible Navier–Stokes equat...
The dynamical behavior of vacuum states for one-dimensional compressible Navier-Stokes (CNS) equatio...
AbstractThis is a continuation of the paper (Comm. Math. Phys. 230 (2002) 329) on the study of the c...
Abstract. The global stability of rarefaction waves in a broad class of entropy solutions in L ∞ con...
A classical result of Gilbarg states that a simple shock wave solution of Euler's equations is compr...
We are concerned with the formation of singularities and the existence of global continuous solution...
AbstractWe consider the compressible barotropic Navier-Stokes system in one dimension, with a nonmon...