Large-time Behaviour of Solutions¶to the Navier-Stokes Equations¶of Compressible Flow
Large-time Behaviour of Solutions¶to the Navier-Stokes Equations¶of Compressible Flow
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DOI：
10.1007/s002050050181
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发表时间：
1999-12
影响因子：
2.5
通讯作者：
E. Feireisl;H. Petzeltová
中科院分区：
文献类型：
--
作者：
E. Feireisl;H. Petzeltová
我们将研究受区域⊂R3限制的可压缩等熵流动的N-S方程弱解的大时间动力学：∂ϱ∂t+div(ϱu)=0，(1.1)∂ϱu∂t+div(ϱu⊗u)−µu−(λ+µ)∇(Div U)+∇p(ϱ)=ϱ∇F，(1.2)其中t∈(0，∞)是时间，x∈是空间坐标，ϱ(t，x)，u(t，x)=[u1(t，x)，u2(t，X)，u3(t，x)]和p(ϱ)=aϱγa>；0，γ>；1代表流体密度、速度和压力。常数µ、λ是满足µ>；0、λ+µ≧0的粘度系数。
We shall study the large-time dynamics of weak solutions to the Navier-Stokes equations for compressible, isentropic flow confined to a domain⊂ R3:∂ ϱ∂ t+ div (ϱu)= 0,(1.1)∂ ϱu∂ t+ div (ϱu⊗ u)− µu−(λ+ µ)∇(div u)+∇ p (ϱ)= ϱ∇ F,(1.2) where t∈(0,∞) is time, x∈ is the spatial coordinate, ϱ (t, x), u (t, x)=[u1 (t, x), u2 (t, x), u3 (t, x)] and p (ϱ)= aϱγ a> 0, γ> 1 stand for the fluid density, velocity and pressure. The constants µ, λ are viscosity coefficients satisfying µ> 0, λ+ µ≧ 0.