Formation of singularities in one‐dimensional nonlinear wave propagation

1974/05/01 by Fritz John · 23 citations
Physics and Astronomy · Computer Science · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear Dynamics and Pattern Formation

paper · doi:10.1002/cpa.3160270307

Cited by

• Global stability of the plane wave solutions to the relativistic string with non-small perturbations
• Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed
• Singularity formation for the supersonic inward wave of compressible Euler equations with radial symmetry
• Lifespan of Classical Solutions to Quasi-linearHyperbolic Systems with Small BV Normal Initial Data
• A quasilinear wave with a supersonic shock in a weak solution interrupting the classical development
• Similarity Solutions of Shock Formation for First-order Strictly Hyperbolic Systems
• Shock formation in the compressible Euler equations and related systems
• Singularity formation for compressible Euler equations
• Low regularity ill-posedness for elastic waves driven by shock formation
• Constraint and gauge shocks in one-dimensional numerical relativity
• Finite time singularities for hyperbolic systems
• Relative entropy and compressible potential flow
• Smoothing Solutions to Initial-Boundary Problems for First-Order Hyperbolic Systems
• Finite-time gradient blow-up and shock formation in Israel-Stewart theory: Bulk, shear, and diffusion regimes
• Global classical solutions to partially dissipative hyperbolic systems violating the Kawashima condition
• Formation of shocks for 2D isentropic compressible Euler
• On the formation of shock for quasilinear wave equations by pulse with weak intensity
• Singularity formation for radially symmetric expanding wave of Compressible Euler Equations
• Shock formation in 1D conservation laws I: Inviscid structure
• Low regularity ill-posedness and shock formation for 3D ideal compressible MHD
• Weak null singularity for the Einstein-Euler system
• Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation
• Formation of singularities in one-dimensional Chaplygin gas