Research Output per year

## Research Output 1996 2019

## Stationary wave profiles for nonlocal particle models of traffic flow on rough roads

Chien, J. & Shen, W., Dec 1 2019, In : Nonlinear Differential Equations and Applications. 26, 6, 53.Research output: Contribution to journal › Article

## Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads

Shen, W., Dec 1 2019, In : Networks and Heterogeneous Media. 14, 4, p. 709-732 24 p.Research output: Contribution to journal › Article

## Traveling waves for nonlocal models of traffic flow

Ridder, J. & Shen, W., Jul 2019, In : Discrete and Continuous Dynamical Systems- Series A. 39, 7, p. 4001-4040 40 p.Research output: Contribution to journal › Article

## Vanishing viscosity and backward Euler approximations for conservation laws with discontinuous flux

Guerra, G. & Shen, W., Jan 1 2019, In : SIAM Journal on Mathematical Analysis. 51, 4, p. 3112-3144 33 p.Research output: Contribution to journal › Article

## Vanishing viscosity solutions for conservation laws with regulated flux

Bressan, A., Guerra, G. & Shen, W., Jan 5 2019, In : Journal of Differential Equations. 266, 1, p. 312-351 40 p.Research output: Contribution to journal › Article

## Global Riemann solvers for several 3 × 3 systems of conservation laws with degeneracies

Shen, W., Jul 1 2018, In : Mathematical Models and Methods in Applied Sciences. 28, 8, p. 1599-1626 28 p.Research output: Contribution to journal › Article

## Traveling wave profiles for a Follow-the-Leader model for traffic flow with rough road condition

Shen, W., Sep 1 2018, In : Networks and Heterogeneous Media. 13, 3, p. 449-478 30 p.Research output: Contribution to journal › Article

## Traveling waves for a microscopic model of traffic flow

Shen, W. & Shikh-Khalil, K., May 2018, In : Discrete and Continuous Dynamical Systems- Series A. 38, 5, p. 2571-2589 19 p.Research output: Contribution to journal › Article

## Feedback Stabilization of Stem Growth

Ancona, F., Bressan, A., Glass, O. & Shen, W., Dec 27 2017, (Accepted/In press) In : Journal of Dynamics and Differential Equations. p. 1-28 28 p.Research output: Contribution to journal › Article

## Growth models for tree stems and vines

Bressan, A., Palladino, M. & Shen, W., Aug 15 2017, In : Journal of Differential Equations. 263, 4, p. 2280-2316 37 p.Research output: Contribution to journal › Article

## On the uniqueness of vanishing viscosity solutions for Riemann problems for polymer flooding

Shen, W., Aug 1 2017, In : Nonlinear Differential Equations and Applications. 24, 4, 37.Research output: Contribution to journal › Article

## Global Riemann solver and front tracking approximation of three-component gas floods

Khorsandi, S., Shen, W. & Johns, R. T., Jan 1 2016, In : Quarterly of Applied Mathematics. 74, 4, p. 607-632 26 p.Research output: Contribution to journal › Article

## On the Cauchy problems for polymer flooding with gravitation

Shen, W., Jul 5 2016, In : Journal of Differential Equations. 261, 1, p. 627-653 27 p.Research output: Contribution to journal › Article

## Slow erosion with rough geological layers

Shen, W., Jan 1 2015, In : SIAM Journal on Mathematical Analysis. 47, 4, p. 3116-3150 35 p.Research output: Contribution to journal › Article

## A semigroup approach to an integro-differential equation modeling slow erosion

Bressan, A. & Shen, W., Oct 1 2014, In : Journal of Differential Equations. 257, 7, p. 2360-2403 44 p.Research output: Contribution to journal › Article

## Existence and stability of traveling waves for an integro-differential equation for slow erosion

Guerra, G. & Shen, W., Jan 1 2014, In : Journal of Differential Equations. 256, 1, p. 253-282 30 p.Research output: Contribution to journal › Article

## A multidimensional optimal-harvesting problem with measure-valued solutions

Bressan, A., Coclite, G. M. & Shen, W., Jul 8 2013, In : SIAM Journal on Control and Optimization. 51, 2, p. 1186-1202 17 p.Research output: Contribution to journal › Article

## An integro-differential conservation law arising in a model of granular flow

Amadori, D. & Shen, W., Mar 1 2012, In : Journal of Hyperbolic Differential Equations. 9, 1, p. 105-131 27 p.Research output: Contribution to journal › Article

## Erosion Profile by a Global Model for Granular Flow

Shen, W. & Zhang, T., Jun 1 2012, In : Archive for Rational Mechanics and Analysis. 204, 3, p. 837-879 43 p.Research output: Contribution to journal › Article

## Front tracking approximations for slow erosion

Amadori, D. & Shen, W., May 1 2012, In : Discrete and Continuous Dynamical Systems. 32, 5, p. 1481-1502 22 p.Research output: Contribution to journal › Article

## Lipschitz semigroup for an integro-differential equation for slow erosion

Colombo, R. M., Guerra, G. & Shen, W., Dec 20 2012, In : Quarterly of Applied Mathematics. 70, 3, p. 539-578 40 p.Research output: Contribution to journal › Article

## Variational analysis of nash equilibria for a model of traffic flow

Bressan, A., Liu, C. J., Shen, W. & Yu, F., Dec 20 2012, In : Quarterly of Applied Mathematics. 70, 3, p. 495-515 21 p.Research output: Contribution to journal › Article

## Measure-valued solutions to a harvesting game with several players

Bressan, A. & Shen, W., Jan 1 2011,*Annals of the International Society of Dynamic Games.*Birkhauser, p. 399-423 25 p. (Annals of the International Society of Dynamic Games; vol. 11).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

## The Slow Erosion Limit in a Model of Granular Flow

Amadori, D. & Shen, W., Jan 1 2011, In : Archive for Rational Mechanics and Analysis. 199, 1, p. 1-31 31 p.Research output: Contribution to journal › Article

## Global existence of large BV solutions in a model of granular flow

Amadori, D. & Shen, W., Sep 1 2009, In : Communications in Partial Differential Equations. 34, 9, p. 1003-1040 38 p.Research output: Contribution to journal › Article

## Non-cooperative and semi-cooperative differential games

Shen, W., Jan 1 2009,*Annals of the International Society of Dynamic Games.*Birkhauser, p. 85-104 20 p. (Annals of the International Society of Dynamic Games; vol. 10).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

## On the shape of avalanches

Shen, W., Mar 15 2008, In : Journal of Mathematical Analysis and Applications. 339, 2, p. 828-838 11 p.Research output: Contribution to journal › Article

## Vanishing viscosity approximation to hyperbolic conservation laws

Shen, W. & Xu, Z., Apr 1 2008, In : Journal of Differential Equations. 244, 7, p. 1692-1711 20 p.Research output: Contribution to journal › Article

## Optimal tracing of viscous shocks in solutions of viscous conservation laws

Wen, S. & Mee, R. P., Dec 1 2006, In : SIAM Journal on Mathematical Analysis. 38, 5, p. 1474-1488 15 p.Research output: Contribution to journal › Article

## Small BV solutions of hyperbolic noncooperative differential games

Bressan, A. & Shen, W., Mar 9 2005, In : SIAM Journal on Control and Optimization. 43, 1, p. 194-215 22 p.Research output: Contribution to journal › Article

## Semi-cooperative strategies for differential games

Bressan, A. & Shen, W., Jan 1 2004, In : International Journal of Game Theory. 32, 4, p. 561-593 33 p.Research output: Contribution to journal › Article

## BV estimates for multicomponent chromatography with relaxation

Bressan, A. & Shen, W., 2000, In : Discrete and Continuous Dynamical Systems. 6, 1, p. 21-38 18 p.Research output: Contribution to journal › Article

## Error bounds of finite difference schemes for multi-dimensional scalar conservation laws with source terms

Shen, W., Jan 1999, In : IMA Journal of Numerical Analysis. 19, 1, p. 77-89 13 p.Research output: Contribution to journal › Article

## On the zero relaxation limit for a system modeling the motions of a viscoelastic solid

Shen, W., Tveito, A. & Winther, R., Jan 1 1999, In : SIAM Journal on Mathematical Analysis. 30, 5, p. 1115-1135 21 p.Research output: Contribution to journal › Article

## Uniqueness for discontinuous ODE and conservation laws

Bressan, A. & Shen, W., Dec 1 1998, In : Nonlinear Analysis, Theory, Methods and Applications. 34, 5, p. 637-652 16 p.Research output: Contribution to journal › Article

## A system of conservation laws including a stiff relaxation term; The 2D case

Shen, W., Tveito, A. & Winther, R., Jan 1 1996, In : BIT Numerical Mathematics. 36, 4, p. 786-813 28 p.Research output: Contribution to journal › Article