Cover Image

On the critical exponent $p_c$ of the 3D quasilinear wave equation $-\big(1+(\partial_tϕ)^p\big)\partial_t^2ϕ+Δϕ=0$ with short pulse initial data. II, shock formation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lu, Yu, Yin, Huicheng
Format:	Preprint
Published:	2022
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the critical exponent $p_c$ of the 3D quasilinear wave equation $-\big(1+(\partial_tϕ)^p\big)\partial_t^2ϕ+Δϕ=0$ with short pulse initial data. I, global existence
by: Ding, Bingbing, et al.
Published: (2022)

Global smooth solutions to 4D quasilinear wave equations with short pulse initial data
by: Ding, Bingbing, et al.
Published: (2023)

Global smooth solutions of 2D quasilinear wave equations with higher order null conditions and short pulse initial data
by: Ding, Bingbing, et al.
Published: (2024)

The critical power of short pulse initial data on the global existence or blowup of smooth solutions to 3-D semilinear Klein-Gordon equations
by: Shen, Jindou, et al.
Published: (2025)

Long time solutions of quasilinear Klein-Gordon equations with small weakly decaying initial data
by: Hou, Fei, et al.
Published: (2023)

Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
by: Hou, Fei, et al.
Published: (2025)

Formation and construction of large variational shock waves for 1-D $n\times n$ quasilinear hyperbolic conservation systems
by: Yin, Huicheng, et al.
Published: (2025)

Long time smooth solutions of 3D cubic quasilinear wave systems with small weakly decaying initial data
by: Gao, Mu, et al.
Published: (2026)

Global smooth solutions of 2-D quadratic quasilinear wave equations with null conditions in exterior domains
by: Hou, Fei, et al.
Published: (2024)

The partial null conditions and global smooth solutions of the nonlinear wave equations on $\mathbb{R}^d\times\mathbb{T}$ with $d=2,3$
by: Hou, Fei, et al.
Published: (2023)

Formation and construction of a shock wave for one dimensional $n\times n$ strictly hyperbolic conservation laws with small smooth initial data
by: Ding, Min, et al.
Published: (2022)

Long time smooth solutions of 2-D quadratic quasilinear wave equations in exterior domains with Neumann boundary conditions
by: Hou, Fei, et al.
Published: (2026)

Global existence and scattering of small data smooth solutions to quasilinear wave systems on $\mathbb{R}^2\times\mathbb{T}$, II
by: Hou, Fei, et al.
Published: (2024)

On global smooth solutions to the 2D isentropic and irrotational Chaplygin gases with short pulse data
by: Ding, Bingbing, et al.
Published: (2022)

On k-wave solutions of quasilinear systems of partial differential equations
by: Grundland, Alfred Michel
Published: (2023)

Global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on $\mathbb{R}^2\times\mathbb{T}$
by: Hou, Fei, et al.
Published: (2024)

Delayed singularity formation for the three dimensional compressible Euler equations with non-zero vorticity
by: Hou, Fei, et al.
Published: (2021)

Normalized solutions to a quasilinear equation involving critical Sobolev exponent
by: Nidhi, et al.
Published: (2024)

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, II
by: He, Daoyin, et al.
Published: (2025)

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, III
by: Li, Qianqian, et al.
Published: (2025)

$L^p$-estimates for the wave equation with partial inverse-square potentials
by: Wang, Jialu, et al.
Published: (2026)

Almost global solutions of 1D nonlinear Klein-Gordon equations with small weakly decaying initial data
by: Hou, Fei, et al.
Published: (2023)

Global existence for 2-D wave maps equation in exterior domains
by: Hou, Fei, et al.
Published: (2025)

Normalized solutions of quasilinear Schrödinger equation with Sobolev critical exponent on star-shaped bounded domains
by: Yan, Ru
Published: (2025)

Equivalence between solvability of the Dirichlet and Regularity problem under an $L^1$ Carleson condition on $\partial_t A$
by: Ulmer, Martin
Published: (2025)

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, I
by: Qianqian, Li, et al.
Published: (2025)

Global existence of small data weak solutions to the semilinear wave equations with time-dependent scale-invariant damping
by: He, Daoyin, et al.
Published: (2024)

Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
by: Hou, Fei, et al.
Published: (2018)

Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
by: Hou, Fei, et al.
Published: (2021)

Regularity of solutions to degenerate normalized $p$-Laplacian equation with general variable exponents
by: Wang, Jiangwen, et al.
Published: (2023)

Existence and dependency results for coupled Schrödinger equations with critical exponent on waveguide manifold
by: Wang, Jun, et al.
Published: (2025)

The emergence of nonlinear Jeans-type instabilities for quasilinear wave equations. II: Generalizations
by: Liu, Chao, et al.
Published: (2025)

Normalized solutions for a Sobolev critical quasilinear Schrödinger equation
by: Li, Yuxin, et al.
Published: (2025)

Localized big bang stability for the Einstein-scalar field equations
by: Beyer, Florian, et al.
Published: (2021)

A quasilinear wave with a supersonic shock in a weak solution interrupting the classical development
by: Abbrescia, Leonardo, et al.
Published: (2025)

$L^p$-estimates for the wave equation with critical magnetic potential on conical manifolds
by: Gao, Xiaofen, et al.
Published: (2025)

$L^p$-estimates for the wave equation with critical magnetic field in higher dimensions
by: Wang, Jialu, et al.
Published: (2025)

$p(x)$-Stability of the Dirichlet problem for Poisson's equation with variable exponents
by: Rouhani, Behzad Djafari, et al.
Published: (2025)

Global existence for initial-boundary value problems of one-dimension quasilinear wave equations with null conditions
by: Zha, Dongbing
Published: (2024)

The emergence of nonlinear Jeans-type instabilities for quasilinear wave equations
by: Liu, Chao
Published: (2024)