Found 69 Documents (Results 1–69)
Majda and ZND models for detonation: nonlinear stability vs. formation of singularities. (English) Zbl 07906802
Formation of finite time singularity for axially symmetric magnetohydrodynamic waves in 3-\(D\). (English) Zbl 07896251
Shock formation for 2D isentropic Euler equations with self-similar variables. (English) Zbl 1542.35301
On the critical exponent \(p_c\) of the 3D quasilinear wave equation \(-(1+(\partial_t\phi)^p)\partial_t^2\phi + \delta\phi = 0\) with short pulse initial data. II: Shock formation. (English) Zbl 1542.35081
The stability of simple plane-symmetric shock formation for three-dimensional compressible Euler flow with vorticity and entropy. (English) Zbl 07846447
Reviewer: Lingda Xu (Hong Kong)
On the absence of shock waves and vacuum birefringence in Born-Infeld electrodynamics. (English) Zbl 1533.78001
On the critical exponent \(p_c\) of the 3D quasilinear wave equation \(-(1 + ( \partial_t \phi )^p) \partial_t^2 \phi + \Delta \phi = 0\) with short pulse initial data. I: Global existence. (English) Zbl 1532.35038
Local well-posedness and singularity formation in non-Newtonian compressible fluids. (English) Zbl 07787466
Reviewer: Dimitris P. Vartziotis (Ioannina)
Formation and development of singularities for the compressible Euler equations. (English) Zbl 07823080
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3636-3659 (2023).
Reviewer: Václav Mácha (Praha)
Hyperbolic conservation laws: past, present, future. (English) Zbl 1535.35118
Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 479-486 (2023).
Reviewer: Evgeniy Panov (Veliky Novgorod)
Smooth self-similar imploding profiles to 3D compressible Euler. (English) Zbl 1522.35379
Reviewer: Vishnu Dutt Sharma (Ghandinagar)
Optimal decay rates of the compressible Euler equations with time-dependent damping in \(\mathbb{R}^n\). I: Under-damping case. (English) Zbl 07615135
Delayed singularity formation for three-dimensional compressible Euler equations with non-zero vorticity. (English) Zbl 1522.35387
Low regularity ill-posedness for non-strictly hyperbolic systems in three dimensions. (English) Zbl 1508.35024
Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant. (English) Zbl 1507.83004
Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities. (English) Zbl 1502.35099
Generalized persistence of entropy weak solutions for system of hyperbolic conservation laws. (English) Zbl 1501.35128
Reviewer: Vishnu Dutt Sharma (Ghandinagar)
On global smooth solutions of the 3D spherically symmetric Euler equations with time-dependent damping and physical vacuum. (English) Zbl 1492.35209
Global existence of smooth solution to relativistic membrane equation with large data. (English) Zbl 1484.35290
Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations. (English) Zbl 1484.35079
Mathematical aspects of general relativity. Abstracts from the workshop held August 29 – September 4, 2021 (hybrid meeting). (English) Zbl 1506.00054
Global Hilbert expansion for the relativistic Vlasov-Maxwell-Boltzmann system. (English) Zbl 1468.35204
Stabilizing relativistic fluids on spacetimes with non-accelerated expansion. (English) Zbl 1464.83025
Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities. (English) Zbl 1439.35094
Reviewer: Dongbing Zha (Shanghai)
A new formulation of the \(3D\) compressible Euler equations with dynamic entropy: remarkable null structures and regularity properties. (English) Zbl 1428.35334
A note on incompressibility of relativistic fluids and the instantaneity of their pressures. (English) Zbl 1402.76164
On the formation of shock for quasilinear wave equations with weak intensity pulse. (English) Zbl 1400.35181
Reviewer: Dongbing Zha (Shanghai)
Shock formation for 2\(D\) quasilinear wave systems featuring multiple speeds: blowup for the fastest wave, with non-trivial interactions up to the singularity. (English) Zbl 1400.35182
Reviewer: Dongbing Zha (Shanghai)
Stabilizing effect of the power law inflation on isentropic relativistic fluids. (English) Zbl 1394.35341
Singularities of axially symmetric time-like minimal submanifolds in Minkowski space. (English) Zbl 1391.35011
Global existence and blowup of smooth solutions of 3-D potential equations with time-dependent damping. (English) Zbl 1391.35319
Reviewer: Vishnu Dutt Sharma (Mumbai)
A geometric approach for sharp local well-posedness of quasilinear wave equations. (English) Zbl 1397.35158
Blow-up of the smooth solutions to the compressible Navier-Stokes equations. (English) Zbl 1383.35034
Wave propagation and shock formation in the most general scalar-tensor theories. (English) Zbl 1380.83226
The lifespan of 3D radial solutions to the non-isentropic relativistic Euler equations. (English) Zbl 1378.35190
Characteristic initial value problem for spherically symmetric barotropic flow. (English) Zbl 1386.76135
Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state. (English) Zbl 1378.35234
Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations. (English) Zbl 1382.35168
A vector field method for relativistic transport equations with applications. (English) Zbl 1373.35046
The Euler-Maxwell system for electrons: global solutions in 2D. (English) Zbl 1375.35519
Reviewer: Piotr Biler (Wrocław)
Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases. (English) Zbl 1372.35226
Reviewer: Ilya A. Chernov (Petrozavodsk)
On the formation of shocks for quasilinear wave equations. (English) Zbl 1362.35248
Reviewer: Alain Brillard (Riedisheim)
On the formation of shocks of electromagnetic plane waves in non-linear crystals. (English) Zbl 1348.78014
Reviewer: Vladimir Čadež (Beograd)
Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities. (English) Zbl 1319.35194
The global structure of spherically symmetric charged scalar field spacetimes. (English) Zbl 1275.83002
On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics. (English) Zbl 1264.82111
Reviewer: Oleg A. Sinkevich (Moskva)
The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant. (English) Zbl 1251.83071
Multidimensional conservation laws: overview, problems, and perspective. (English) Zbl 1257.35122
Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 23-72 (2011).
Reviewer: V. D. Sharma (Mumbai)
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