%0 Journal Article %J NoDEA Nonlinear Differential Equations Appl. 14 (2007) 569-592 %D 2007 %T Stability of front tracking solutions to the initial and boundary value problem for systems of conservation laws %A Andrea Marson %A Carlotta Donadello %B NoDEA Nonlinear Differential Equations Appl. 14 (2007) 569-592 %G en_US %U http://hdl.handle.net/1963/1769 %1 2775 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-03-28T10:29:02Z\\nNo. of bitstreams: 1\\n68M.pdf: 209186 bytes, checksum: 79dcb94eb1405cbadb411592b2cffe66 (MD5) %R 10.1007/s00030-007-5010-7 %0 Journal Article %J Mem. Amer. Math. Soc. 169 (2004), no. 801, x+170 pp. %D 2004 %T Well-posedness for general 2x2 systems of conservation laws %A Fabio Ancona %A Andrea Marson %B Mem. Amer. Math. Soc. 169 (2004), no. 801, x+170 pp. %I SISSA Library %G en %U http://hdl.handle.net/1963/1241 %1 2702 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:55:11Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %0 Thesis %D 1999 %T Approximation, Stability and control for Conservation Laws %A Andrea Marson %I SISSA %G en %U http://hdl.handle.net/1963/5500 %1 5331 %2 Mathematics %3 Functional Analysis and Applications %4 -1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2012-02-15T08:31:14Z\\nNo. of bitstreams: 1\\nPhD_Marson_Andrea.pdf: 6489276 bytes, checksum: 5c9f28283a0b07370b455c460bcb2ea7 (MD5) %0 Journal Article %J Arch. Rational Mech. Anal. 142 (1998), no. 2, 155-176 %D 1998 %T Error bounds for a deterministic version of the Glimm scheme %A Andrea Marson %A Alberto Bressan %X Consider the hyperbolic system of conservation laws $u_t F(u)_x=0. Let $u$ be the unique viscosity solution with initial condition $u(0,x)=\\\\bar u(x)$ and let $u^\\\\varepsilon$ be an approximate solution constructed by the Glimm scheme, corresponding to the mesh sizes $\\\\Delta x,\\\\Delta t=O(\\\\Delta x). With a suitable choise of the sampling sequence, we prove the estimate $$ \\\\left\\\\Vert u^\\\\varepsilon(t,\\\\cdot)-u(t,\\\\cdot) \\\\right\\\\Vert_1=o(1)\\\\cdot\\\\sqrt{\\\\Delta x}\\\\vert\\\\ln\\\\Delta x\\\\vert. $$ %B Arch. Rational Mech. Anal. 142 (1998), no. 2, 155-176 %I Springer %G en %U http://hdl.handle.net/1963/1045 %1 2811 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:42:05Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1995 %R 10.1007/s002050050088