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All published works
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Title
Year
Authors
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Low regularity ill-posedness for elastic waves driven by shock formation
2023
Xinliang An
Haoyang Chen
Silu Yin
+
Low regularity ill-posedness for non-strictly hyperbolic systems in three dimensions
2022
Xinliang An
Haoyang Chen
Silu Yin
+
The Cauchy problems for the 2D compressible Euler equations and ideal MHD system are ill-posed in $H^\frac{7}{4}(\mathbb{R}^2)$
2022
Xinliang An
Haoyang Chen
Silu Yin
+
$H^{\frac{11}{4}}(\mathbb{R}^2)$ ill-posedness for 2D Elastic Wave system
2022
Xinliang An
Haoyang Chen
Silu Yin
+
Low regularity ill-posedness and shock formation for 3D ideal compressible MHD
2021
Xinliang An
Haoyang Chen
Silu Yin
+
Low regularity ill-posedness for elastic waves driven by shock formation
2020
Xinliang An
Haoyang Chen
Silu Yin
+
PDF
Chat
Stability and instability of the standing waves for the Klein‐Gordon‐Zakharov system in one space dimension
2018
Silu Yin
+
Global Existence of Inhomogeneous Incompressible Isotropic Elastodynamics in Three Dimensions
2018
Xiufang Cui
Silu Yin
+
PDF
Chat
Global existence for damped semilinear wave equations outside obstacles in high dimensions
2017
Lin Yinhe
Hongbiao Jiang
Silu Yin
+
Long-time existence of nonlinear inhomogeneous compressible elastic waves
2017
Silu Yin
Xiufang Cui
+
Finite time blow‐up for a kind of initial‐boundary value problem of semilinear damped wave equation
2016
N. Lai
Silu Yin
+
Global existence for a model of inhomogeneous incompressible elastodynamics in 2D
2016
Silu Yin
+
Global existence of radial solutions for general semilinear hyperbolic systems in 3D
2015
Silu Yin
Yi Zhou
+
Global existence of radial solutions for general semilinear hyperbolic systems in 3D
2015
Silu Yin
Yi Zhou
Common Coauthors
Coauthor
Papers Together
Haoyang Chen
6
Xinliang An
6
Xiufang Cui
2
Yi Zhou
2
N. Lai
1
Hongbiao Jiang
1
Lin Yinhe
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Blowup of Small Data Solutions for a Quasilinear Wave Equation in Two Space Dimensions
1999
Serge Alinhac
5
+
PDF
Chat
Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, II
1999
Serge Alinhac
5
+
Almost global existence to nonlinear wave equations in three space dimensions
1984
Franklin John
Sergiù Klainerman
4
+
PDF
Chat
Global existence of nonlinear elastic waves
2000
Rentarô Agemi
4
+
Almost global existence of elastic waves of finite amplitude arising from small initial disturbances
1988
Fritz John
4
+
Global solutions of nonlinear hyperbolic equations for small initial data
1986
Demetrios Christodoulou
4
+
Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
1979
Tai-Ping Liu
4
+
PDF
Chat
Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
2001
Thomas C. Sideris
Shu-Yi Tu
4
+
A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations
1993
Hans Lindblad
3
+
PDF
Chat
Sharp local well-posedness results for the nonlinear wave equation
2005
Hart F. Smith
Daniel Tataru
3
+
PDF
Chat
Shock formation in solutions to the 2D compressible Euler equations in the presence of non-zero vorticity
2018
Jonathan Luk
Jared Speck
3
+
PDF
Chat
A Geometric Approach for Sharp Local Well-Posedness of Quasilinear Wave Equations
2017
Qian Janice Wang
3
+
PDF
Chat
Nonresonance and Global Existence of Prestressed Nonlinear Elastic Waves
2000
Thomas C. Sideris
3
+
Counterexamples to local existence for semi-linear wave equations
1996
Hans Lindblad
3
+
The null condition for quasilinear wave equations in two space dimensions I
2001
Serge Alinhac
3
+
On almost global existence for nonrelativistic wave equations in 3D
1996
Sergiù Klainerman
Thomas C. Sideris
3
+
The null condition and global existence of nonlinear elastic waves
1996
Thomas C. Sideris
3
+
A sharp counterexample to local existence of low regularity solutions to Einstein equations in wave coordinates
2016
Boris Ettinger
Hans Lindblad
3
+
Blow‐up for quasi‐linear wave equations in three space dimensions
1981
Fritz John
3
+
PDF
Chat
Rough sound waves in 3D compressible Euler flow with vorticity
2022
Marcelo M. Disconzi
Chenyun Luo
Giusy Mazzone
Jared Speck
3
+
Uniform decay estimates and the lorentz invariance of the classical wave equation
1985
Sergiù Klainerman
3
+
PDF
Chat
Shock Formation for 2D Quasilinear Wave Systems Featuring Multiple Speeds: Blowup for the Fastest Wave, with Non-trivial Interactions up to the Singularity
2017
Jared Speck
3
+
PDF
Chat
Counterexamples to local existence for quasilinear wave equations
1998
Hans Lindblad
3
+
The lifespan of classical solutions of non-linear hyperbolic equations
1987
Lars Hörmander
2
+
PDF
Chat
On the formation of shocks for quasilinear wave equations
2016
Shuang Miao
Pin Yu
2
+
PDF
Chat
Global Existence for the 2D Incompressible Isotropic Elastodynamics for Small Initial Data
2016
Xuecheng Wang
2
+
PDF
Chat
On the formation of shocks of electromagnetic plane waves in non-linear crystals
2016
Demetrios Christodoulou
Daniel Pérez-Palau
2
+
Two dimensional exterior mixed problem for semilinear damped wave equations
2004
Ryo Ikehata
2
+
A sharp counterexample to local existence of low regularity solutions to Einstein's equations in wave coordinates
2016
Boris Ettinger
Hans Lindblad
2
+
Almost global existence for 2-D incompressible isotropic elastodynamics
2015
Zhen Lei
Thomas C. Sideris
Yi Zhou
2
+
None
2000
Serge Alinhac
2
+
PDF
Chat
Uniform Bound of the Highest Energy for the Three Dimensional Incompressible Elastodynamics
2014
Zhen Lei
Fan Wang
2
+
GLOBAL CLASSICAL SOLUTIONS TO QUASILINEAR HYPERBOLIC SYSTEMS WITH WEAK LINEAR DEGENERACY
2004
Yi Zhou
2
+
L^p-L^q estimates for the Klein-Gordon equation
1980
Bernard Marshall
2
+
Asymptotically Stable Ill-Posedness of Geometric Quasilinear Wave Equations
2018
Ross Granowski
2
+
Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations
2001
Mitsuhiro Nakao
2
+
Global existence for three‐dimensional incompressible isotropic elastodynamics
2007
Thomas C. Sideris
Becca Thomases
2
+
PDF
Chat
Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations
2016
Jared Speck
2
+
PDF
Chat
BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one
1986
Jeffrey Rauch
2
+
Non-existence of weak solutions to nonlinear damped wave equations in exterior domains
2008
Takayoshi Ogawa
Hiroshi Takeda
2
+
Blowup phenomena of solutions to the Euler equations for compressible fluid flow
2005
Tian-Hong Li
Dehua Wang
2
+
New decay estimates for linear damped wave equations and its application to nonlinear problem
2004
Ryo Ikehata
2
+
Existence and nonexistence of time-global solutions to damped wave equation on half-line
2005
Kenji Nishihara
Huijiang Zhao
2
+
Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
2004
Thomas C. Sideris
Becca Thomases
2
+
Non‐homogeneous non‐linear damped wave equations in unbounded domains
1990
Reinhard Racke
2
+
Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping
2003
Thomas C. Sideris
Becca Thomases
Dehua Wang
2
+
The null condition for quasilinear wave equations in two space dimensions, II
2001
Serge Alinhac
2
+
Global existence of solutions for semilinear damped wave equation in 2-D exterior domain
2004
Ryo Ikehata
2
+
PDF
Chat
Formation of singularities in three-dimensional compressible fluids
1985
Thomas C. Sideris
2
+
Hyperbolic systems of conservation laws II
1957
Peter D. Lax
2