Gradient catastrophe in the solution of nonconservative hyperbolic systems
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Publication:1243855
DOI10.1016/0022-247X(77)90170-6zbMath0369.35043MaRDI QIDQ1243855
Publication date: 1977
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
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Related Items (8)
The decay and formation of one-dimensional nonconservative shocks ⋮ Diagnostics of a gradient catastrophe for a class of quasilinear hyperbolic systems ⋮ On the Cauchy problem of some dissipative flows ⋮ The evolution of discontinuities in solutions of inhomogeneous scalar hyperbolic conservation laws in several space dimensions ⋮ A new run-up algorithm based on local high-order analytic expansions ⋮ Instability of steady shearing flows in a non-linear viscoelastic fluid ⋮ Formation of singularities in solutions of a wave equation ⋮ Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
Cites Work
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- Discontinuity formation in solutions of homogeneous non-linear hyperbolic equations possessing smooth initial data
- On the local and global behavior of acceleration waves: Addendum, asymptotic behavior
- Formation of singularities in one-dimensional nonlinear wave propagation
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- The Formation and Decay of Shock Waves
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