91 citations · 512 across the 65 of their papers we have counts for
5 papers · 2 filters
The Riemann Solver for Traffic Flow at an Intersection with Buffer of Vanishing Size
Alberto Bressan, Anders Nordli
The paper examines the model of traffic flow at an intersection introduced in [2], containing a buffer with limited size. As the size of the buffer approach zero, it is proved that…
Lipschitz Metrics for a Class of Nonlinear Wave Equations
Alberto Bressan, Geng Chen
The nonlinear wave equation determines a flow of conservative solutions taking values in the space . However, this flow is not continuou…
Structurally Stable Singularities for a Nonlinear Wave Equation
Alberto Bressan, Tao Huang, Fang Yu
For the nonlinear wave equation , it is well known that solutions can develop singularities in finite time. For an open dense set of initial…
No BV bounds for approximate solutions to p-system with general pressure law
Alberto Bressan, Geng Chen, Qingtian Zhang +1
For the p-system with large BV initial data, an assumption introduced in [3] by Bakhvalov guarantees the global existence of entropy weak solutions with uniformly bounded total var…
Generic Regularity of Conservative Solutions to a Nonlinear Wave Equation
Alberto Bressan, Geng Chen
The paper is concerned with conservative solutions to the nonlinear wave equation . For an open dense set of initial data, we prove tha…