Formation of Singularities in Compressible Fluids in Two-Space Dimensions
From MaRDI portal
Publication:3034137
DOI10.2307/2048169zbMath0692.35015OpenAlexW4231252439MaRDI QIDQ3034137
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2048169
Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Initial value problems for first-order hyperbolic systems (35L45) Euler-Poisson-Darboux equations (35Q05)
Related Items (29)
Development of singularities in the relativistic Euler equations ⋮ Singularity Formation for the Compressible Euler Equations ⋮ Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms ⋮ Singularity formation for one dimensional full Euler equations ⋮ Formation of singularities for the relativistic Euler equations ⋮ On global multidimensional supersonic flows with vacuum states at infinity ⋮ Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques ⋮ On the classical solutions of two dimensional inviscid rotating shallow water system ⋮ Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮ Singularity Formation for Radially Symmetric Expanding Wave of Compressible Euler Equations ⋮ Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮ Formation of singularities of solutions to the three-dimensional non-relativistic radiation hydrodynamic equations ⋮ Blow-up for compressible Euler system with space-dependent damping in 1-D ⋮ Global existence and convergence to the modified Barenblatt solution for the compressible Euler equations with physical vacuum and time-dependent damping ⋮ Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation ⋮ Stability of smooth solutions for the compressible Euler equations with time-dependent damping and one-side physical vacuum ⋮ Formation of finite-time singularities for nonlinear hyperbolic systems with small initial disturbances ⋮ The global supersonic flow with vacuum state in a 2D convex duct ⋮ Singularity Formation and Global Existence of Classical Solutions for One-Dimensional Rotating Shallow Water System ⋮ On global smooth solutions of 3-D compressible Euler equations with vanishing density in infinitely expanding balls ⋮ Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations ⋮ The global smooth symmetric solution to 2-D full compressible Euler system of Chaplygin gases ⋮ The lifespan of a class of smooth spherically symmetric solutions of the compressible Euler equations with variable entropy in three space dimensions ⋮ Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities ⋮ Global existence and asymptotic behavior of solutions to the Euler equations with time-dependent damping ⋮ On the 2D isentropic Euler system with unbounded initial vorticity ⋮ On global smooth solutions of the 3D spherically symmetric Euler equations with time-dependent damping and physical vacuum ⋮ Formation of singularity for the classical solutions of the rotating shallow water system ⋮ Shock-free solutions of the compressible Euler equations
Cites Work
- Unnamed Item
- Formation of singularities in solutions to nonlinear hyperbolic equations
- Formation of singularities in three-dimensional compressible fluids
- The incompressible limit and the initial layer of the compressible Euler equation
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
- Global behavior of solutions to nonlinear wave equations in three dimensions
- Finite-time blow-up for nonlinear wave equations in high dimensions
- On the blowing up of solutions to nonlinear wave equations in two space dimensions.
- Compressible and incompressible fluids
- Formation of singularities in one-dimensional nonlinear wave propagation
This page was built for publication: Formation of Singularities in Compressible Fluids in Two-Space Dimensions
