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Zbl 0519.35054
DiPerna, R.J.
Convergence of approximate solutions to conservation laws. (English)
[J] Arch. Ration. Mech. Anal. 82, 27-70 (1983). ISSN 0003-9527; ISSN 1432-0673/e

Display scanned Zentralblatt-MATH page with this review.

MSC 2000:: *35L65 Conservation laws
35A35 Theoretical approximation to solutions of PDE
65M99 Numerical methods for IVP of PDE
65N99 Numerical methods for BVP of PDE
35B35 Stability of solutions of PDE
35B45 A priori estimates
35L60 First-order nonlinear hyperbolic equations
46E35 Sobolev spaces and generalizations
60B05 Probability measures on topological spaces
65M12 Stability and convergence of numerical methods (IVP of PDE)
54A20 Convergence in general topology
74B20 Nonlinear elasticity
76L05 Shock waves (fluid mechanics)
76N15 Gas dynamics, general

Keywords: convergence; approximate solutions; systems of conservation laws; compensated compactness; parabolic regularization; finite difference schemes in conservation form

Citations: Zbl 0399.46022; Zbl 0437.35004

Cited in: Zbl 0857.35084 Zbl 0785.76062 Zbl 0695.65062 Zbl 0736.35133 Zbl 0688.35051 Zbl 0667.35047 Zbl 0635.73047 Zbl 0654.76070 Zbl 0645.73006 Zbl 0607.35061 Zbl 0578.35055

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