Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions

The Dirichlet Problem for Viscous Compressible Isothermal Navier-Stokes Equations in Two-Dimensions

Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier-Stokes Equations

We consider the Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial data are smooth and the initial density is bounded by below by a positive constant, then a strong solution exists for a small time. In this paper, we show that under the same hypothesis, the density remains bounded by below by a positive constant uniformly in tim...

Global Existence for Compressible Navier-Stokes-Poisson Equations in Three and Higher Dimensions

The compressible Navier-Stokes-Poisson system is concerned in the present paper, and the global existence and uniqueness of the strong solution is shown in the framework of hybrid Besov spaces in three and higher dimensions.

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

On the barotropic compressible Navier-Stokes equations

We consider barotropic compressible Navier-Stokes equations with density dependent viscosity coefficients that vanish on vacuum. We prove the stability of weak solutions in periodic domain Ω = T and in the whole space Ω = R , when N = 2 and N = 3. The pressure is given by p(ρ) = ρ and our result holds for any γ > 1. Note that our notion of weak solutions is not the usual one. In particular we r...