Vanishing Viscosity Solutions of Nonlinear Hyperbolic Systems
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چکیده
1 Introduction 1 2 Parabolic estimates 7 3 Outline of the BV estimates 12 4 A center manifold of viscous travelling waves 15 5 Gradient decomposition 19 6 Bounds on the source terms 23 7 Transversal wave interactions 32 8 Functionals related to shortening curves 35 9 Energy estimates 40 10 Proof of the BV estimates 45 11 Stability estimates 47 12 Propagation speed 55 13 The vanishing viscosity limit 58 14 The non-conservative Riemann problem 63 15 Viscosity solutions and uniqueness of the semigroup 71 16 Dependence on parameters and large time asymptotics 74
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تاریخ انتشار 2001