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Yang, Kai
Positions
Postdoctoral Associate
,
Mathematics and Statistics
,
College of Arts, Sciences & Education
yangk@fiu.edu
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Scholarly & Creative Works
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Scholarly & Creative Works
selected scholarly works & creative activities
Article
2023
ASYMPTOTIC STABILITY OF SOLITARY WAVES OF THE 3D QUADRATIC ZAKHAROV-KUZNETSOV EQUATION
.
AMERICAN JOURNAL OF MATHEMATICS
. 145:1695-1775.
Full Text via DOI:
10.1353/ajm.2023.a913295
Web of Science:
001121073300001
2023
Interaction with an obstacle in the 2D focusing nonlinear Schrodinger equation
.
ADVANCES IN COMPUTATIONAL MATHEMATICS
. 49.
Full Text via DOI:
10.1007/s10444-023-10055-x
Web of Science:
001065301000001
2023
High Order Conservative Schemes for the Generalized Benjamin-Ono Equation on the Unbounded Domain
.
JOURNAL OF SCIENTIFIC COMPUTING
. 96.
Full Text via DOI:
10.1007/s10915-023-02255-w
Web of Science:
001011971500003
2023
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity
.
NONLINEARITY
. 36:584-635.
Full Text via DOI:
10.1088/1361-6544/ac93e1
Web of Science:
000907481500001
2022
Higher dimensional generalization of the Benjamin-Ono equation: 2D case
.
STUDIES IN APPLIED MATHEMATICS
. 148:498-542.
Full Text via DOI:
10.1111/sapm.12448
Web of Science:
000698199800001
2022
ARBITRARILY HIGH-ORDER CONSERVATIVE SCHEMES FOR THE GENERALIZED KORTEWEG--DE VRIES EQUATION\ast
.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
. 44:A2709-A2733.
Full Text via DOI:
10.1137/21M140777X
Web of Science:
000892967500008
2021
Behavior of solutions to the 1D focusing stochastic nonlinear Schrodinger equation with spatially correlated noise
Full Text via DOI:
10.1007/s40072-021-00191-0
Web of Science:
000628724500001
2021
Behaviour of solutions to the 1D focusing stochastic
L
2
-critical and supercritical nonlinear Schrodinger equation with space-time white noise
Full Text via DOI:
10.1093/imamat/hxab040
Web of Science:
000743933700007
2021
Dynamics of solutions in the generalized Benjamin-Ono equation: A numerical study
.
JOURNAL OF COMPUTATIONAL PHYSICS
. 445.
Full Text via DOI:
10.1016/j.jcp.2021.110570
Web of Science:
000722631000014
2020
ON THE FOCUSING GENERALIZED HARTREE EQUATION
Full Text via DOI:
10.5206/mase/10855
Web of Science:
001057752700008
2020
Stable blow-up dynamics in the
L
2
-critical and
L
2
-supercritical generalized Hartree equation
.
STUDIES IN APPLIED MATHEMATICS
. 145:647-695.
Full Text via DOI:
10.1111/sapm.12328
Web of Science:
000556598300001
2019
Blow-up dynamics in the mass super-critical NLS equations
.
PHYSICA D
. 396:47-69.
Full Text via DOI:
10.1016/j.physd.2019.02.015
Web of Science:
000470949700005
2018
Blow-up dynamics and spectral property in the L-2-critical nonlinear Schrodinger equation in high dimensions
.
NONLINEARITY
. 31:4354-4392.
Full Text via DOI:
10.1088/1361-6544/aacc41
Web of Science:
000441191000001
Preprint
2022
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity
2021
High order conservative schemes for the generalized Benjamin-Ono equation in the unbounded domain
2021
Higher dimensional generalization of the Benjamin-Ono equation: 2D case
2021
Arbitrarily high-order conservative schemes for the generalized Korteweg-de Vries equation
2021
Interaction with an obstacle in the 2d focusing nonlinear Schrödinger equation
2020
Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study
2020
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise
2020
Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation
2020
Behavior of solutions to the 1D focusing stochastic $L^2$-critical and supercritical nonlinear Schrödinger equation with space-time white noise
2020
Stable blow-up dynamics in the $L^2$-critical and $L^2$-supercritical generalized Hartree equation
2018
Blow-up dynamics in the mass super-critical NLS equations
2018
Blow-up in finite or infinite time of the 2D cubic Zakharov-Kuznetsov equation
2017
Blow-up dynamics and spectral property in the $L^2$-critical nonlinear Schrödinger equation in high dimensions
Contact
full name
Kai
Yang
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https://orcid.org/0000-0002-2289-9403
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