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- W103390257 abstract "Consider the Cauchy problem for a strictly hyperbolic system of conservation laws in one space dimension $${{u}_{t}} + F{{(u)}_{x}} = 0,$$(1)$$u(0,x) = bar{u}(x),$$(2)where u = u(t,x) ∈ R N are the conserved quantities, while t≥0 and x ∈ R respectively, the time and space variables. Let the flux function F : Ω ↦ R N be a smooth vector field defined on a domain (Omega subseteq {{R}^{N}}). Denote with λ1(u) < ... < λ N (u) the eigenvalues of the Jacobian matrix A(u) ≐ DF(u) and with r 1(u),...,r N (u) a corresponding basis of eigenvectors. We assume that system (1) admits non genuinely non linear (NGNL) characteristic fields, i.e. characteristic fields that are neither genuinely nonlinear (GNL) nor linearly degenerate (LD) in the sense of Lax. More precisely, we make the following assumption." @default.
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- W103390257 date "2001-01-01" @default.
- W103390257 modified "2023-09-26" @default.
- W103390257 title "Well-Posedness for Non Genuinely Nonlinear Conservation Laws" @default.
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- W103390257 doi "https://doi.org/10.1007/978-3-0348-8370-2_4" @default.
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