Publication of Wen Shen
Some Research Papers in Journals
- (28). Graziano Guerra and Wen Shen,
Existence and Stability of Traveling Waves for an Integro-differential Equation for Slow Erosion.
Preprint.
[ a pdf-file ]
- (27). A. Bressan, J. Liu, W. Shen and F. Yu.
Variational Analysis of Nash Equilibria for a Model of Traffic
Flow
Quaterly of Applied
Mathematics, Brown University,
Vol LXX, No. 3,
the special issue
in honor of Dafermos' 70th birthday, (2012), pp. 495-515.
[ a pdf-file ]
-
(26). R. Colombo, G. Guerra and W. Shen,
Lipschitz Semigroup for an Integro-Differential Equation
for Slow Erosion
Quaterly of Applied Mathematics, Brown University,
Vol LXX, No. 3, the special issue
in honor of Dafermos' 70th birthday, (2012) pp. 539-578.
[ a pdf-file ]
- (25). A. Bressan, G. M. Coclite, and
W. Shen,
A Multi-dimensional Optimal Harvesting Problem with
Measure Valued Solutions.
Preprint 2011. Submitted.
[ a pdf-file ]
- (24). Debora Amadori and Wen Shen,
An Integro-Differential Conservation Law arising in a Model of
Granular Flow.
Journal of Hyperbolic Differential Equations,
Vol 9, Issue 1, March 2012, pp. 105-131.
DOI: 10.1142/S0219891612500038
[ a pdf-file ]
- (23). Wen Shen and Tianyou Zhang,
Erosion Profile by a Global Model for Granular Flow.
Arch. Rational Mech. Anal. Vol 204, Nr 3, pp 837-879,
(2012).
DOI: 10.1007/s00205-012-0499-2
[ a pdf-file ]
- (22). Debora Amadori and Wen Shen,
Front Tracking Approximations for Slow Erosion.
Discrete and Continuous Dynamical Systems, Vol 32, Nr 5, May
2012, pp. 1481-1502.
DOI: 10.3934/dcds.2012.32.1481
[ a pdf-file ]
- (21). Debora Amadori and Wen Shen
Mathematical Aspects of a Model for Granular Flow,
In ``IMA Volumes in Mathematics and its Applications'', vol. 153,
``Nonlinear Conservation Laws and Applications'',
pp. 169--180.
Springer, 2011.
Editors: A. Bressan, G-Q. Chen, M. Lewicka and D. Wang,
[ a pdf-file ]
- (20). Debora Amadori and Wen Shen
A Hyperbolic Model of Granular Flow,
In H. Holden and K. H. Karlsen, editors, "Nonlinear Partial
Differential Equations", Contemp. Math. Amer. Math. Soc.,
vol 526, p.1-18. (2010)
[ a pdf-file ]
- (19). Debora Amadori and Wen Shen
Slow Erosion Limit in Model of Granular Flow.
Archive for Rational Mechanics an Analysis, 199 p. 1-31 (2011).
[ a pdf-file ]
- (18). Alberto Bressan and Wen Shen
Measure Valued Solutions to a Harvesting Game with
Several Players.
In M. Breton and K. Szajowski (eds.)
"Advances in Dynamic Games",
Annals of the International Society of Dynamic Games, vol 11,
pp.399-423. Springer, 2011.
[a pdf-file]
- (17). Debora Amadori and Wen Shen,
Global Existence of Large BV Solutions in a
Model of Granular Flow.
Comm PDE, 34 (2009), n0. 7-9, 1003-1040.
[ a pdf-file ]
- (16). Wen Shen,
Non-Cooperative and Semi-Cooperative Differential
Games,
in "Advances in Dynamic Games and their Applications; Analytical and
Numerical Developments".
Series: Annals of ISDG (International Symposium of Dynamical Games)}, vol. 10.
Editors: Pierre Bernhard, Gaitsgory Vladimir, Odile Pourtallier.
Birkehauser (2009). pp. 85-106.
[ a pdf-file ]
- (15). Alberto Bressan and Wen Shen,
Measure Valued Solutions for a Differential
Game Related to Fish Harvesting.
SIAM J. Control and Optimization, Volume 47,
Issue 6, pp. 3118-3137 (2009) .
[ a pdf file ].
- (14). Wen Shen,
On the Shape of Avalanche.
J. Math Anal. Appl. 339 (2008) 828-838.
[ a pdf file ].
- (13). Wen Shen and Zhengfu Xu,
Vanishing Viscosity Approximation to Hyperbolic
Conservation Laws.
Journal of Differential Equations, 244(2008) 1697-1711.
[ a pdf-file ].
- (12). A. Bressan and W. Shen,
Optimality Conditions for Solutions to Hyperbolic
Balance Laws
In ``Control Methods in PDE and Dynamical Systems'',
F.~Ancona and R.~Triggiani eds.,
AMS Contemporary Mathematics Series 426, pp 129--152, 2007.
[ a pdf-file ]
- (11). A. Bressan and W. Shen,
Unique Solutions of Discontinuous O.D.E.'s in
Banach Spaces,
Analysis and Applications, Vol. 4, No. 3 (2006)
247-262.
[ a pdf-file and
a ps-file . ]
- (10). W. Shen and M. Park,
Optimal Tracing of Viscous Shocks in Solutions of Viscous
Conservation Laws,
SIAM J. Math.Anal. vol. 38, No. 5, (2007)
pp.1474-1488.
[ a pdf-file .]
- (9). A. Bressan and W. Shen,
Semi-cooperative Strategies for Differential Games,
International Journal of Game Theory, Vol 32, No 4, (2004),
pp. 561-593.
[ pdf-file and
ps-file . ]
- (8). A. Bressan and W. Shen,
Small BV Solutions of Hyperbolic Non-cooperative Differential
Games,
SIAM J. Control and Optimization,
Vol. 43, No. 1, pp. 104-215, 2004
[pdf-file and
ps-file.]
- (7). A. M. Bruaset, X. Cai, H. P. Langtangen, G. T. Lines,
K. Samuelsson, W. Shen, A. Tveito, G. Zumbusch,
Performance modeling of PDE solvers.
In H. P. Langtangen and A. Tveito, editors,
Advanced Topics in Computational Partial Differential Equations
-- Numerical Methods and Diffpack Programming.
pp. 361-399, Springer, 2003.
[ pdf-file.]
- (6). A. Bressan and W. Shen,
BV estimate for multicomponent chromatography with
relaxation,
Discrete and Continuous Dynamical Systems, The Millennium Issue,
6 (2000), pp. 21-38.
[ ps-file and
pdf-file.]
- (5). A. Bressan, W. Shen,
On Discontinuous Differential Equation,
Differential Inclusions and Optimal Control, Lecture Notes in
Nonlinear Analysis, Vol. 2, 1998, pp. 73-87.
[ a
postscript file, 391330 bytes.
and pdf-file]
- (4). W. Shen, A. Tveito and R. Winther,
On the zero relaxation limit for a system modeling the motions
of a viscoelastic solid,
SIAM J. Math. Anal. Vol. 30, No. 5, pp. 1115-1135, 1999.
[ a pdf file. ]
- (3). A. Bressan, W. Shen,
Uniqueness for discontinuous ODEs and conservation laws
Nonlinear Analysis, Theory, Methods, and Applicatipns,
34 (1998) pp. 637--652.
[ a postscript file,
and a pdf file.]
- (2). W. Shen,
Error bounds of finite difference schemes for two-dimensional
scalar conservation with source terms,
IMA Journal of Numerical Analysis, vol. 19, pp. 77-89, 1999.
[ a ps-file and
a pdf-file ]
- (1). W. Shen, A. Tveito and R. Winther,
A system of conservation laws including a stiff relaxation
term; the 2D case,
BIT, 36:4(1996), pp. 786-813.
[ a ps-file and
a pdf-file]
Proceeding Papers
- (8). Debora Amadori, Rinaldo Colombo, Graziano
Guerra and Wen Shen,
SLOW EROSION OF GRANULAR FLOW: CONTINUOUS AND DISCONTINUOUS PROFILES.
Submitted to the proceedings of HYP 2012, Padova, Italy.
[ a pdf-file ]
- (7). Wen Shen and Tianyou Zhang,
A Global Scalar Conservation Law for Erosion Profiles.
In the Proceedings of HYP 2010, Beijing. Editors:T. Li and
S. Jiang. p. 675-682.
Series in Comtemporary Applied Mathematics CAM 17,
Higher Education Press, 2012.
[ a pdf-file ]
- (6). Debora Amadori and Wen Shen,
A Nonlocal Conservation Law from a Model
of Granular Flow.
In the Proceedings of HYP 2010, Beijing. Editors:T. Li and
S. Jiang. p. 265-272.
Series in Comtemporary Applied Mathematics CAM 17,
Higher Education Press, 2012.
[ a pdf-file ]
- (5). W.Shen,
On a Model of Granular Flow.
In "Hyperbolic Problems: Theory, Numerics and Applications",
Proceedings of the 12th International Conference on Hyperbolic Problems held in
University of Maryland, College Park, USA, June 9-13 2008.
Eds: Eitan Tadmor, Jian Guo Liu, Athanasios Tzavaras.
AMS 2009, p. 939-948.
[a pdf-file]
- (4). W. Shen,
Finite Dimensional Representation of Solutions of
Viscous Conservation Laws
in "Hyperbolic Problems: Theory, Numerics,
Applications", Proceeding of HYP2006 in Lyon, France.
S. Benzoni-Gavage and D. Serre editors. Springer 2008.
pp 981-988.
[ a pdf-file ].
- (3). A. Bressan and W. Shen,
Non-cooperative Differential Games,
in "Hyperbolic Problems: Theory, Numerics,
Applications",
Proceeding of HYP2004 in Osaka.
F. Asakura, chief editor, Yokohama Publishers,
pp. 77--84, 2006.
[a postscript file.
and a pdf file]
- (2). A. Bressan and W. Shen,
The convergence of Multicomponent chromatography
with relaxation
in "Hyperbolic Problems: Theory, Numerics, Applications",
Proceedings of HYP2000 in Magdeburg.
H.Freistuehler and G. Warnecke eds.,
Birkhauser Verlag, Basel, pp. 197-205, 2001.
[a ps file and
a pdf file ].
- (1). W. Shen, A. Tveito and R. Winther,
Rate of convergence for the zero relaxation limit.
``Hyperbolic Problems: Theory, Numerics, Applications'', the
proceedings of the 7th Int. Conf. on Hyperbolic
Problems. Editors: M.~Fey and R.~Jeltsch, International Series
of Numerical Mathematics, Vol. 130, pp.~865-874, Birhauser
Verlag Basel, Switzerland, 1999.
[a postscript file and
a pdf file.]
Thesis:
- (2). W. Shen,
Hyperbolic Conservation Laws with Relaxation Terms,
PhD. Thesis, Department of Informatics, University of Oslo,
Norway. March 30, 1998.
- (1). Wen Shen,
Numerical Solution of the Pressure Equation in a Simple
Model of Aluminium DC-casting,
Thesis for Cand. Scient. Degree, Institute of Informatics,
University of Oslo, and Section for Applied Mathematics, SINTEF,
Oslo, Norway, April 1994.
[ a
compressed postscript file,
748675 bytes ]
Research reports:
- (5). A.M. Bruaset, X. Cai, H.P. Langtangen, G.T. Lines,
K. Samuelsson, W. Shen, A. Tveito and G. Zumbusch,
CPU-measurements of some numerical PDE simulations,
Technical report, Preprint 1998-3, Department of Informatics,
University of Oslo, Norway.
- (4). Wen Shen,
A comparison between two finite element methods for the
solution of a simplified model of alloy casting,
Research Report, ISBN 82-7368-121-1, ISSN 0806-3036, December 1995,
Department for Informatics, University of Oslo, Norway.
[ a
compressed postscript file,
418876 bytes ]
- (3). H. Thevik, A. Mo, W. Shen,
To-dimensjonale strøminingseffekter ved utsvetting under
DC-støping,
SINTEF-report no. STF24 F94064, 1994. Section for Applied
Mathematics, SINTEF, Oslo, Norway. (In Norwegian.)
- (2). H. P. Langtangen, G. Pedersen and W. Shen,
Finite Element Preprocessors in Diffpack,
SINTEF-report no. STF33 A94051 (1994).
[ a
postscript file, and a pdf-file .
]
- (1). W. Shen, A. M. Bruaset,
Mixed Finite Element Solution of Elliptic Boundary Value
Problems,
SINTEF-report no. STF33 A94018, 1994.
[a
compressed postscript file,
337657 bytes ]