Global Solvability of a Free Boundary Three-Dimensional Incompressible Viscoelastic Fluid System with Surface Tension
暂无分享,去创建一个
[1] H. L. Meur. Well-Posedness of Surface Wave Equations Above a Viscoelastic Fluid , 2011 .
[2] Zhifei Zhang,et al. On the free boundary problem to the two viscous immiscible fluids , 2010 .
[3] David Rubin,et al. Introduction to Continuum Mechanics , 2009 .
[4] Zhen Lei,et al. On 2D Viscoelasticity with Small Strain , 2009, 0904.1345.
[5] Paul Kessenich. Global Existence with Small Initial Data for Three-Dimensional Incompressible Isotropic Viscoelastic Materials , 2009, 0903.2824.
[6] Yi Zhou,et al. Global Solutions for Incompressible Viscoelastic Fluids , 2008, 0901.3658.
[7] F. Lin,et al. On the initial‐boundary value problem of the incompressible viscoelastic fluid system , 2008 .
[8] T. Sideris,et al. Global existence for three‐dimensional incompressible isotropic elastodynamics , 2007 .
[9] J. Evans. Re-entrant corner flows of upper convected Maxwell fluids: the small and high Weissenberg number limits , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[10] Ping Zhang,et al. The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions , 2006 .
[11] Ping Zhang,et al. On hydrodynamics of viscoelastic fluids , 2005 .
[12] David Lannes,et al. Well-posedness of the water-waves equations , 2005 .
[13] S. Shkoller,et al. Unique solvability of the free-boundary Navier-Stokes equations with surface tension , 2002, math/0212116.
[14] N. Walkington,et al. An Eulerian Description of Fluids Containing Visco-Elastic Particles , 2001 .
[15] A. Tani. Small-time existence for the three-dimensional navier-stokes equations for an incompressible fluid with a free surface , 1996 .
[16] N. Tanaka,et al. Large-time existence of surface waves in incompressible viscous fluids with or without surface tension , 1995 .
[17] L. Caffarelli,et al. Fully Nonlinear Elliptic Equations , 1995 .
[18] N. Tanaka. Two-phase free boundary problem for viscous incompressible thermo-capillary convection , 1995 .
[19] J. Saut,et al. Existence results for the flow of viscoelastic fluids with a differential constitutive law , 1990 .
[20] V. Solonnikov,et al. ON THE TRANSIENT MOTION OF AN ISOLATED VOLUME OF VISCOUS INCOMPRESSIBLE FLUID , 1988 .
[21] V. A. Solonnikov,et al. Unsteady motion of a finite mass of fluid, bounded by a free surface , 1988 .
[22] J. T. Beale,et al. Large-time regularity of viscous surface waves , 1984 .
[23] J. T. Beale,et al. The initial value problem for the navier-stokes equations with a free surface , 1981 .
[24] V. Solonnikov. SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE , 1977 .
[25] R. A. Silverman,et al. The Mathematical Theory of Viscous Incompressible Flow , 1972 .
[26] Thomas C. Sideris,et al. GLOBAL EXISTENCE FOR 3D INCOMPRESSIBLE ISOTROPIC ELASTODYNAMICS VIA THE INCOMPRESSIBLE LIMIT , 2005 .
[27] Jean-Yves Chemin,et al. About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids , 2001, SIAM J. Math. Anal..
[28] M. Renardy. High Weissenberg Number Asymptotics and Corner Singularities in Viscoelastic Flows , 1999 .
[29] N. Tanaka. Global existence of two phase nonhomogeneous viscous incompbessible fluid flow , 1993 .
[30] Michael Renardy,et al. Mathematical Analysis of Viscoelastic Flows , 1987 .
[31] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.