3 citations · 7 across the 7 of their papers we have counts for
7 papers
Exponential Stabilization of Moving Shockwave in ARZ Traffic Model via Boundary Control: Explicit Gains and Arbitrary Decay Rate
Mina Cao, Mamadou Diagne, Peipei Shang +1
This paper develops boundary feedback controls to stabilize traffic congestion toward a predefined shock equilibrium in the Aw-Rascle-Zhang (ARZ) traffic flow model. We transform t…
Weak solutions to an initial-boundary value problem for a continuum equation of motion of grain boundaries
Peicheng Zhu, Lei Yu, Yang Xiang
We investigate an initial-(periodic-)boundary value problem for a continuum equation, which is a model for motion of grain boundaries based on the underlying microscopic mechanisms…
Local exact one-sided boundary null controllability of entropy solutions to a class of hyperbolic systems of balance laws
Tatsien Li, Lei Yu
We consider nxn hyperbolic systems of balance laws in one-space dimension under the assumption that all negative (resp. positive) characteristics are linearly degenerate. We prove…
Local exact boundary controllability of entropy solutions to a class of hyperbolic systems of conservation laws
Tatsien Li, Lei Yu
In this paper, we study the local exact boundary controllability of entropy solutions to a class linearly degenerate hyperbolic systems of conservation laws with constant multiplic…
Structure of entropy solutions to general scalar conservation laws in one space dimension
Stefano Bianchini, Lei Yu
In this paper, we show that the entropy solution of a scalar conservation law is - continuous outside a -rectifiable set , - up to a negligible set, for each p…
Global structure of admissible BV solutions to piecewise genuinely nonlinear, strictly hyperbolic conservation laws in one space dimension
Stefano Bianchini, Lei Yu
The paper gives an accurate description of the qualitative structure of an admissible BV solution to a strictly hyperbolic, piecewise genuinely nonlinear system of conservation law…
SBV-like regularity for general hyperbolic systems of conservation laws
Stefano Bianchini, Lei Yu
We prove the SBV regularity of the characteristic speed of the scalar hyperbolic conservation law and SBV-like regularity of the eigenvalue functions of the Jacobian matrix of flux…