His scientific interests lie mostly in Mathematical analysis, Breaking wave, Initial value problem, Degasperis–Procesi equation and Waves and shallow water. As part of his studies on Mathematical analysis, Yue Liu often connects relevant areas like Nonlinear system. The various areas that Yue Liu examines in his Breaking wave study include Method of characteristics and Domain.
His Degasperis–Procesi equation study combines topics in areas such as Development, Line and Strong solutions. His studies in Strong solutions integrate themes in fields like Structure and Singularity. The Camassa–Holm equation study which covers Peakon that intersects with Character and Soliton.
Yue Liu spends much of his time researching Mathematical analysis, Transport engineering, Camassa–Holm equation, Integrable system and Initial value problem. His Mathematical analysis research includes elements of Breaking wave and Nonlinear system. The study incorporates disciplines such as Compressibility, Gravitational singularity, Method of characteristics and Component in addition to Breaking wave.
In the subject of general Transport engineering, his work in Transit, Public transport and Traffic congestion is often linked to Empirical research, thereby combining diverse domains of study. His work carried out in the field of Camassa–Holm equation brings together such families of science as Shallow water equations, Monotonic function, Dispersionless equation and Characteristic equation. His Integrable system research focuses on Cubic nonlinearity and how it connects with Novikov self-consistency principle.
His primary areas of investigation include Waves and shallow water, Mathematical analysis, Rotation, Space and Initial value problem. His Mathematical analysis study combines topics from a wide range of disciplines, such as Amplitude and Korteweg–de Vries equation. His Rotation research incorporates themes from Breaking wave and Compressibility.
He interconnects Camassa–Holm equation and Sobolev space in the investigation of issues within Space. The concepts of his Initial value problem study are interwoven with issues in Novikov self-consistency principle, Applied mathematics, Cubic nonlinearity and Hölder condition. His study looks at the intersection of Integrable system and topics like Hamiltonian with Degasperis–Procesi equation and Real line.
His main research concerns Waves and shallow water, Rotation, Mathematical analysis, Space and Sobolev space. His Waves and shallow water studies intersect with other subjects such as Mathematical model, Nonlinear system, Limit, Type and Forcing. His Korteweg–de Vries equation research extends to Rotation, which is thematically connected.
His Space research integrates issues from Uniqueness and Camassa–Holm equation. Yue Liu combines subjects such as Amplitude, Wavelength and Energy with his study of Sobolev space.
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Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation
Yue Liu;Zhaoyang Yin;Zhaoyang Yin.
Communications in Mathematical Physics (2006)
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
Guilong Gui;Guilong Gui;Yue Liu.
Journal of Functional Analysis (2010)
Global weak solutions and blow-up structure for the Degasperis–Procesi equation
Joachim Escher;Yue Liu;Zhaoyang Yin;Zhaoyang Yin.
Journal of Functional Analysis (2006)
On the Cauchy problem for the two-component Camassa–Holm system
Guilong Gui;Guilong Gui;Yue Liu.
Mathematische Zeitschrift (2011)
Wave-Breaking and Peakons for a Modified Camassa-Holm Equation
Guilong Gui;Guilong Gui;Yue Liu;Peter J. Olver;Changzheng Qu.
Communications in Mathematical Physics (2013)
Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
Joachim Escher;Yue Liu;Zhaoyang Yin.
Indiana University Mathematics Journal (2007)
On the Well-Posedness Problem and the Scattering Problem for the Dullin-Gottwald-Holm Equation
Lixin Tian;Guilong Gui;Yue Liu.
Communications in Mathematical Physics (2005)
An arterial signal optimization model for intersections experiencing queue spillback and lane blockage
Yue Liu;Gang-Len Chang.
Transportation Research Part C-emerging Technologies (2011)
Stability of Peakons for the Degasperis-Procesi Equation
Zhiwu Lin;Yue Liu.
Communications on Pure and Applied Mathematics (2008)
Instability and blow-up of solutions to a generalized Boussinesq equation
Siam Journal on Mathematical Analysis (1995)
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