Shock Formation and Vorticity Creation for 3d Euler
From MaRDI portal
Publication:6073407
DOI10.1002/cpa.22067zbMath1527.35229arXiv2006.14789OpenAlexW3038098497MaRDI QIDQ6073407
Steve Shkoller, Vlad C. Vicol, Tristan Buckmaster
Publication date: 11 October 2023
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.14789
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hydro- and aero-acoustics (76Q05) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) Euler equations (35Q31) Waves in compressible fluids (76N30)
Related Items
Asymptotically Self-Similar Shock Formation for 1D Fractal Burgers’ Equation ⋮ Delayed singularity formation for three‐dimensional compressible Euler equations with non‐zero vorticity ⋮ The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions
Cites Work
- On the formation of shocks for quasilinear wave equations
- Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\)
- Compressible fluid flow and systems of conservation laws in several space variables
- The formation of shocks in 3-dimensional fluids.
- Formation of singularities in three-dimensional compressible fluids
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
- Blowup of small data solutions for a quasilinear wave equation in two space dimensions.
- Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II
- Shock formation for 2\(D\) quasilinear wave systems featuring multiple speeds: blowup for the fastest wave, with non-trivial interactions up to the singularity
- On the formation of shock for quasilinear wave equations with weak intensity pulse
- The shock development problem
- Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity
- Description of a shock formation in \(p\)-systems
- Asymptotics for \(L^ 2\) minimal blow-up solutions of critical nonlinear Schrödinger equation
- Compressible Flow and Euler's Equations
- Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations
- Formation of singularities in one-dimensional nonlinear wave propagation
- Multi‐valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems
- The onset of instability in unsteady boundary-layer separation
- Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systems
- Formation and construction of a shock wave for 3-D compressible Euler equations with the spherical initial data
- Formation of Shocks for <scp>2D</scp> Isentropic Compressible Euler
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- Hyperbolic Conservation Laws in Continuum Physics