MSWeE08
The GinzburgLandau Model and Related Topics  Part II of IV
For Part I, see MSWeD08
For Part III, see MSThBC08
For Part IV, see MSThD08
Date: August 12
Time: 16:0018:00
Room: 202B
(Note: Click title to show the abstract.)
Organizer:
Golovaty, Dmitry (The Univ. of Akron)
Giorgi, Tiziana (New Mexico State Univ.)
Abstract: The focus of the minisymposium is on mathematical problems related to GinzburgLandau model with application in physics and materials science including but not limited to: superconductivity, superfluidity, liquid crystals, and polymers. The speakers in this minisymposium will describe their recent research, including the development and structure of singular solutions of the GinzburgLandautype problems and the dynamics of vortex motion. This minisymposium is sponsored by the SIAM Activity Group on Mathematical Aspects of Materials Science (SIAG/MS).
MSWeE081
16:0016:30
Exponential decay of superconductivity in the presence of strong currents
Almog, Yaniv (LSU)
Abstract: We study the timedependent GinzburgLandau equations in the presence of strong
currents, but weaker than the critical current where the
normal state losses its stability. In the large $\kappa$ limit, we prove that the
superconductivity order parameter is exponentially small in a significant
part of the domain, and small in the rest of it. Some results in the large domain limit will be presented as well. Joint work with Bernard Helffer and Xingbin Pan
MSWeE082
16:3017:00
A thinfilm limit in the LandauLifshitzGilbert equation relevant for the formation of Neel walls
Ignat, Radu (Universite Paul Sabatier  Toulouse III)
Abstract: We consider an asymptotic regime for 2D ferromagnetic films that is consistent with the formation of transition layers, called Neel walls. We establish compactness of $S^2$valued magnetizations in the energetic regime of Neel walls and characterize the set of accumulation points. We prove that Neel walls are asymptotically the unique energy minimizing configurations. We finally study the corresponding dynamical issues, namely the compactness properties of the magnetizations under the flow of the LandauLifshitzGilbert equation.
MSWeE083
17:0017:30
Nonlocal GinzburgLandau/AllenCahn Models: Analytical and Numerical Studies
YANG, Jiang (Penn State Univ.)
Du, Qiang (Columbia Univ.)
Abstract: We present some recent studies of a timedependent nonlinear nonlocal
GinzburgLandau/AllenCahn equation based on analytical and numerical
approaches. We also analyze the convergence of Fourier spectral methods
for problems defined on a periodic cell and show that they are asymptotically compatible so as to provide convergent approximations to both the nonlocal
model and the local limit. Numerical examples also reveal some interesting phenomena associated with steady state solutions of the nonlocal model.
MSWeE084
17:3018:00
Analysis of the LawrenceDoniach energy for layered superconductors in magnetic fields
Peng, Guanying (Univ. of Cincinnati)
Bauman, Patricia (Purdue Univ.)
Abstract: We analyze minimizers of the LawrenceDoniach energy for layered superconductors occupying a bounded generalized cylinder in the threedimensional space. For a magnetic field perpendicular to the layers in the intermediate regime, we prove an asymptotic formula for the minimum LawrenceDoniach energy as the reciprocal of the GinzburgLandau parameter and the interlayer distance tend to zero. Our formula also describes the minimum threedimensional anisotropic GinzburgLandau energy as the reciprocal of the GinzburgLandau parameter tends to zero.
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Footnote: Code: TypeDateTimeRoom No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:309:30, B=10:0011:00, C=11:1012:10, BC=10:0012:10, D=13:3015:30, E=16:0018:00, F=19:0020:00, G=12:1013:30, H=15:3016:00
Room No.: TBA
