Well-Posedness Theory for a Nonconservative Burgers-Type System Arising in Dislocation Dynamics
暂无分享,去创建一个
[1] With Invariant Submanifolds,et al. Systems of Conservation Laws , 2009 .
[2] Gui-Qiang G. Chen,et al. The Cauchy Problem for the Euler Equations for Compressible Fluids , 2002 .
[3] Guy Barles,et al. Nonlocal First-Order Hamilton–Jacobi Equations Modelling Dislocations Dynamics , 2006 .
[4] Régis Monneau,et al. Dislocation Dynamics: Short-time Existence and Uniqueness of the Solution , 2006 .
[5] P. Bassanini,et al. Elliptic Partial Differential Equations of Second Order , 1997 .
[6] P. Lax,et al. Systems of conservation laws , 1960 .
[7] J. Lions,et al. Problèmes aux limites non homogènes et applications , 1968 .
[8] 乔花玲,et al. 关于Semigroups of Linear Operators and Applications to Partial Differential Equations的两个注解 , 2003 .
[9] L. Ambrosio. Transport equation and Cauchy problem for BV vector fields , 2004 .
[10] P. Floch. Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form , 1988 .
[11] J. Bogdanoff,et al. On the Theory of Dislocations , 1950 .
[12] István Groma,et al. Investigation of dislocation pattern formation in a two-dimensional self-consistent field approximation , 1999 .
[13] P. Lions,et al. Ordinary differential equations, transport theory and Sobolev spaces , 1989 .
[14] P. Cardaliaguet,et al. Existence and uniqueness for dislocation dynamics with nonnegative velocity , 2005 .
[15] Tai-Ping Liu,et al. Existence theory for nonlinear hyperbolic systems in nonconservative form , 1993 .
[16] A. El Hajj,et al. A convergent scheme for a non-local coupled system modelling dislocations densities dynamics , 2007, Math. Comput..
[17] Nicolas Forcadel,et al. Dislocation dynamics with a mean curvature term: short time existence and uniqueness , 2008, Differential and Integral Equations.
[18] N. G. Parke,et al. Ordinary Differential Equations. , 1958 .