We consider the Cauchy problem for the three-dimensional bipolar compressible Navier-Stokes-Poisson system with unequal viscosities.Under the assumption that the H_(3) norm of the initial data is small but its higher ...We consider the Cauchy problem for the three-dimensional bipolar compressible Navier-Stokes-Poisson system with unequal viscosities.Under the assumption that the H_(3) norm of the initial data is small but its higher order derivatives can be arbitrarily large,the global existence and uniqueness of smooth solutions are obtained by an ingenious energy method.Moreover,if additionally,the H^(−s)(1/2≤s<3/2)or B^(−s)_(2,∞)(1/2<s≤3/2)norm of the initial data is small,the optimal decay rates of solutions are also established by a regularity interpolation trick and delicate energy methods.展开更多
We consider the initial value problem for multi-dimensional bipolar compressible Navier- Stokes-Poisson equations, and show the global existence and uniqueness of the strong solution in hybrid Besov spaces with the in...We consider the initial value problem for multi-dimensional bipolar compressible Navier- Stokes-Poisson equations, and show the global existence and uniqueness of the strong solution in hybrid Besov spaces with the initial data close to an equilibrium state.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11701193 and 11671086)Natural Science Foundation of Fujian Province(Grant No.2018J05005)+3 种基金the Scientific Research Funds of Huaqiao University(Grant No.16BS507)supported by Guangxi Natural Science Foundation(Grant No.2019JJG110003)Guangxi Science and Technology Plan Project(Grant No.2019AC20214)National Natural Science Foundation of China(Grant Nos.11771150,11571280,11301172 and 11226170).
文摘We consider the Cauchy problem for the three-dimensional bipolar compressible Navier-Stokes-Poisson system with unequal viscosities.Under the assumption that the H_(3) norm of the initial data is small but its higher order derivatives can be arbitrarily large,the global existence and uniqueness of smooth solutions are obtained by an ingenious energy method.Moreover,if additionally,the H^(−s)(1/2≤s<3/2)or B^(−s)_(2,∞)(1/2<s≤3/2)norm of the initial data is small,the optimal decay rates of solutions are also established by a regularity interpolation trick and delicate energy methods.
基金supported by National Natural Science Foundation of China (Grant No. 10871134)partially supported by National Natural Science Foundation of China (Grant Nos. 10871134, 10910401059)+1 种基金the NCET support of the Ministry of Education of China, the Huo Ying Dong Fund (Grant No. 111033)the funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality (Grant No. PHR201006107)
文摘We consider the initial value problem for multi-dimensional bipolar compressible Navier- Stokes-Poisson equations, and show the global existence and uniqueness of the strong solution in hybrid Besov spaces with the initial data close to an equilibrium state.
