Gradient catastrophe in the solution of nonconservative hyperbolic systems

DOI10.1016/0022-247X(77)90170-6zbMath0369.35043MaRDI QIDQ1243855

Witold Kosiński

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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

This page was built for publication: Gradient catastrophe in the solution of nonconservative hyperbolic systems