Cover Image

Long time smooth solutions of 3D cubic quasilinear wave systems with small weakly decaying initial data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gao, Mu, Li, Jun, Yin, Huicheng
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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)

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)

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)

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)

Almost global solutions of 1D nonlinear 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)

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

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

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)

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

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

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)

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

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
by: Lu, Yu, et al.
Published: (2022)

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)

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)

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

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

Lyapunov function and smooth periodic solutions to quasilinear 1D hyperbolic systems
by: Kmit, Irina, et al.
Published: (2024)

Global solutions for cubic quasilinear ultrahyperbolic Schrödinger flows
by: Ifrim, Mihaela, et al.
Published: (2025)

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

Existence and uniqueness of weak solutions to quasilinear PDEs with critical data
by: Bechtel, Sebastian, et al.
Published: (2026)

Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by $W^{1,p}$ energy analysis
by: Claes, Leander, et al.
Published: (2025)

On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping
by: Hou, Fei, et al.
Published: (2016)

A unified theory of existence of suitable weak solutions to the 3D incompressible Navier-Stokes equations for non-decaying initial data
by: Balakrishna, A., et al.
Published: (2025)

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

Global solution of 2D hyperbolic liquid crystal system for small initial data
by: Wang, Xuecheng
Published: (2024)

Timelike asymptotics for global solutions to a scalar quasilinear wave equation satisfying the weak null condition
by: Yu, Dongxiao
Published: (2024)

Late-time tail for a scalar quasilinear wave equation satisfying the weak null condition
by: Luk, Jonathan, et al.
Published: (2025)

Uniform estimates for 2D quasilinear wave
by: Li, Dong
Published: (2021)

Incompressible and fast rotation limits for 3D compressible rotating Euler system with general initial data
by: Fujii, Mikihiro, et al.
Published: (2025)

Global smooth solutions to Navier-Stokes equations with large initial data in critical space
by: Li, Haina, et al.
Published: (2025)

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

Fast and slow decaying solutions for $H^{1}$-supercritical quasilinear Schrödinger equations
by: Cheng, Yongkuan, et al.
Published: (2019)

Existence and concentration of nontrivial solutions for quasilinear Schrödinger equation with indefinite potential
by: Yin, Lifeng, et al.
Published: (2025)

Global smooth solutions to 2D semilinear wave equations with large data
by: Ding, Bingbing, et al.
Published: (2023)