Explicit generalized solutions to a system of conservation laws
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Publication:1961747
DOI10.1007/BF02838000zbMath0941.35050MaRDI QIDQ1961747
Publication date: 3 August 2000
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Integral representations of solutions to PDEs (35C15) Hyperbolic conservation laws (35L65) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)
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Cites Work
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- Generalized solutions to Burgers' equation
- The Riemann problem for pressureless fluid dynamics with distribution solutions in Colombeau's sense
- Generalized solutions to Cauchy problems
- Generalized solutions to a Cauchy problem for a nonconservative hyperbolic system
- Definition and weak stability of nonconservative products
- Hyperbolic systems of conservation laws II
- The partial differential equation ut + uux = μxx