由中国力学学会主办的第四届国际流体力学学术会议（The Fourth International Conference on Fluid Mechanics，ICFM-IV)于2004年7月20日-23日，在大连隆重召开．航天工业总公司科技委主任庄逢甘院士担任大会主席，中科院力学研究所李...由中国力学学会主办的第四届国际流体力学学术会议（The Fourth International Conference on Fluid Mechanics，ICFM-IV)于2004年7月20日-23日，在大连隆重召开．航天工业总公司科技委主任庄逢甘院士担任大会主席，中科院力学研究所李家春院士担任组委会主席，中科院力学研究所樊菁研究员担任秘书长．美国科学院、工程院、展开更多
Professor Institute of Rock and Soil Mechanics, Chinese Academy of Sciences Xiaohongshan, Wuchang, Wuhan, Hubei, 430071, China E-mail： gexiurun@whrsm.ac.cn
In this paper, we shall prove that the Koch-Tataru solution u to the incompressible Navier-Stokes equations in Rd satisfies the decay estimates involving some borderline Besov norms with d ≥ 3. Moreover, u has a uniq...In this paper, we shall prove that the Koch-Tataru solution u to the incompressible Navier-Stokes equations in Rd satisfies the decay estimates involving some borderline Besov norms with d ≥ 3. Moreover, u has a unique trajectory which is HSlder continuous with respect to the space variables.展开更多
We present multicomponent flow models derived from the kinetic theory of gases and investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial differential equations. We address the Cau...We present multicomponent flow models derived from the kinetic theory of gases and investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial differential equations. We address the Cauchy problem for smooth solutions as well as the existence of deflagration waves, also termed anchored waves. We further discuss related models which have a similar hyperbolic-parabolic structure, notably the Saint- Venant system with a temperature equation as well as the equations governing chemical equilibrium flows. We next investigate multicomponent ionized and magnetized flow models with anisotropic transport fluxes which have a different mathematical structure. We finally discuss numerical algorithms specifically devoted to complex chemistry flows, in particular the evaluation of multicomponent transport properties, as well as the impact of multicomponent transport.展开更多
文摘由中国力学学会主办的第四届国际流体力学学术会议（The Fourth International Conference on Fluid Mechanics，ICFM-IV)于2004年7月20日-23日，在大连隆重召开．航天工业总公司科技委主任庄逢甘院士担任大会主席，中科院力学研究所李家春院士担任组委会主席，中科院力学研究所樊菁研究员担任秘书长．美国科学院、工程院、
文摘Professor Institute of Rock and Soil Mechanics, Chinese Academy of Sciences Xiaohongshan, Wuchang, Wuhan, Hubei, 430071, China E-mail： gexiurun@whrsm.ac.cn
基金Acknowledgements We are very grateful to the referee＇s suggestions and comments on the improvement of the paper. Part of this work was done when we were visiting Morningside Center of Mathematics, Chinese Academy of Sciences, in the summer of 2010. We appreciate the hospitality and the financial support from the center. P. Zhang is partially supported by National Natural Science Foundation of China （Grant Nos. 10421101 and 10931007）, and the innovation grant from the Chinese Academy of Sciences （Grant No. GJHZ200829）. T. Zhang is partially supported by the Program for New Century Excellent Talents in University, National Natural Science Foundation of China （Grant Nos. 10871175, 10931007 and 10901137）, and the Zhejiang Provincial Natural Science Foundation of China （Grant No. Z6100217）.
文摘In this paper, we shall prove that the Koch-Tataru solution u to the incompressible Navier-Stokes equations in Rd satisfies the decay estimates involving some borderline Besov norms with d ≥ 3. Moreover, u has a unique trajectory which is HSlder continuous with respect to the space variables.
文摘We present multicomponent flow models derived from the kinetic theory of gases and investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial differential equations. We address the Cauchy problem for smooth solutions as well as the existence of deflagration waves, also termed anchored waves. We further discuss related models which have a similar hyperbolic-parabolic structure, notably the Saint- Venant system with a temperature equation as well as the equations governing chemical equilibrium flows. We next investigate multicomponent ionized and magnetized flow models with anisotropic transport fluxes which have a different mathematical structure. We finally discuss numerical algorithms specifically devoted to complex chemistry flows, in particular the evaluation of multicomponent transport properties, as well as the impact of multicomponent transport.
