Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$
Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$
复制标题
DOI：
10.1111/sapm.12655
复制
发表时间：
2023-11
影响因子：
2.7
通讯作者：
Leilei Tong;Miao Luo
中科院分区：
文献类型：
--
作者：
Leilei Tong;Miao Luo
在三维常平衡态的小扰动下，我们考虑了等熵情形下带线性阻尼项的可压缩量子Navier-Stokes-Maxwell方程的柯西问题。基于精细能量法，我们在Sobolev空间中建立了时间上的整体经典解。将能量估计与正负∥·∥Ḣ−S$\VERT\CDOT\VERT\Dot{H}^{-S}}$与0⩽S<；3/2$0\leqslant S<；3/2$相结合，也得到了经典解的代数衰减率。此外，LP$L^p$-L2(1
We consider the Cauchy problem of the compressible quantum Navier–Stokes–Maxwell equations with the linear damping in the isentropic case under the small perturbation of the constant equilibrium state in three dimensions. Based on the refined energy method, we establish the classical solution globally in time in Sobolev space. By the combination of the energy estimates with the interpolation between the positive Sobolev norms and the negative Sobolev norms ∥·∥Ḣ−s$\Vert \cdot \Vert _{\dot{H}^{-s}}$ with 0⩽s<3/2$0\leqslant s<3/2$ , we also obtain the algebraic decay rates of the classical solution. What is more, the Lp$L^p$ –L2 (1