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Peter J. Sternberg (812) 855-6726 (office) |
Fall 2009 Teaching
S212 Honors
Calculus II
S212 Solutions to
homework assignments
RECENT PUBLICATIONS
``Gamma-convergence and the
emergence of vortices for Ginzburg-Landau on thin shells and manifolds"
To appear in Calc. of Variations and PDE, joint with
Andres Contreras
``On the behavior of a
superconducting wire subjected to a constant voltage difference"
To appear in SIAM Applied Math., joint with Jacob
Rubinstein and Junghwa Kim
``The resistive state in a
superconducting wire: bifurcation from the normal state"
Arch.
Rat. Mech. Anal., 195, no. 1, 117-158, (2010), joint with Jacob
Rubinstein and Kevin Zumbrun
``Critical points via Gamma
convergence: general theory and applications"
J. Euro. Math. Soc., 11, no. 4, 705-753, (2009), joint with Robert Jerrard
"Formation and stability of
phase slip centers in nonuniform wires with currents"
Physica
C, 468, 260-263, (2008), joint with Jacob Rubinstein
Phys. Rev. Lett., 99, 167003, (2007), joint
with Jacob Rubinstein and Qingfeng Ma
"On the first and second
variations of a nonlocal isoperimetric problem
J. Reine
Angew. Math., 611, 75-108, (2007), joint with Rustum Choksi
"Supercurrents
in networks with constricted junctions"
Physica C, 452, 1-2,
54-60, (2007), joint with Jacob Rubinstein and Gershon Wolansky
"Periodic phase
separation: the periodic Cahn-Hilliard and isoperimetric problems"
Interfaces and Free Boundaries, 8, 371-392, (2006), joint with Rustum
Choksi
"Elliptic
problems on networks with constrictions"
Calculus of
Variations, 26, no. 4,
459-487, (2006), joint with Jacob
Rubinstein and Gershon Wolansky
"The onset problem for a
thin superconducting loop in a large magnetic field"
Asymptotic Analysis, 48, no. 1 / 2, 55-76, (2006),
joint with Tien-Tsan Shieh
"Topologically
driven local minimizers of the Oseen-Frank energy"
Journal of
Mathematical Physics, 46, no. 9,
(2005), joint with Yun-hui Kim and
Jacob Rubinstein
"Ginzburg-Landau
model in thin loops with narrow constrictions"
SIAM J. Appl. Math, 64, no. 6, 2186-2204, (2004), joint
with Jacob Rubinstein and Michelle Schatzman
"Local minimizers of the
Ginzburg-Landau energy with magnetic field in three dimensions,"
Comm. Math. Phys., 249, no. 3, 549-577,
(2004), joint with Robert Jerrard and Alberto Montero
"Local
minimizers with vortices to the Ginzburg-Landau system in 3d,"
C.P.A.M., 57, no. 1, 99-125, (2004), joint
with Alberto Montero and William Ziemer