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QOOXNQQ@16:00--17:30

u
Clement Gallo (McMaster University)
Eigenvalues of a nonlinear ground state in the Thomas-Fermi approximation
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We study a nonlinear ground state of the Gross-Pitaevskii equation with a parabolic potential in the hydrodynamics limit often referred to as the Thomas-Fermi approximation. The spectrum of linearization of the Gross-Pitaevskii equation at the ground state consists of an unbounded sequence of positive eigenvalues. We analyze convergence of eigenvalues in the hydrodynamics limit. We prove the Convergence in norm of the resolvent operator and we estimate the rate of convergence.

QOOXNPQX@16:00--17:30

u
Hongqiu Chen (University of Memphis)
Traveling waves of nonlinear dispersive equations
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http://www.math.tohoku.ac.jp/~sa8m31/homepage/hchen-sendai.pdf

uҋyё
u
15:00?16:00
uҁFݘQ Y (kww@ w)
ځFlf̏Ƌt݂̉̑ƈӐ

u
16:00?17:00
uҁF Mm (kww@ w)
ځFԎIFisher^̉̑Qߋ

QOOXNPPT@16:00--18:00

uҋyё
u
15F00?16F00
uҁF O (kww@ w)
ځFׂ̈ɂ锼ȉ~^̉̕

u
16:00?17:00
uҁFc (kww@ w)
ځFLocal well-posedness and self-similar singularities for incompressible Euler equations

Ou
17:00?18:00
uҁF K (kww@ w)
ځF\{tՊEw锼^ȉ~^̉̑d

QOOWNPQPW@16:00--17:30

u
ēc ǍO (cw Hwp@)
Navier-Stokes ̉̈萫ɂ
v|
e Finn Physically reasonable solution ̏ۓɊւ萫ƁC̏ؖ̂ɓꂽCEzbv̈ӐɊւ኱̃lKeBuȍl@ɂĂł.

QOOWNPQPP@16:00--17:30

u
đ (kww@w)
Forward self-similar solution with a moving singularity for a semilinear parabolic equation
v|
^ׂł锼^^ɑ΂Ăِ͓ɕێCXɁC̓ٓ_ԕωԋǏIɑ݂.Ĉ悤ȉ̎ԑ摶݂͑Sl@ĂȂ.ŁCX́Cۓ Haraux-Weissler ̓ىp邱ƂɂCٓ_Oȑ݂邱Ƃ.

QOOWNPPQV@16:00--17:30

u
 K (򕌑wHw)
߉ϕn~gñJIXۂɑ΂͓IȃAv[
v|
GmEnCXn_̃fC3̖Ȃǉp̕ł΂ΌCThEZ^[^t_L߉ϕn~gn肠C͊wn_ł͗ǂmꂽjRt̕@gāCt_܂̕sσg[X̃z/weNjbNO݂CJIXۂgUۂ̔ؖ邽߂̑IȐۓ@ɂĉDw҂̕֋X}Csϑl̗_CnʑƃX[Eo[Rt̃zNjbN藝CWIȃjRt̕@CKAM_C߉ϕn~gñA[mhgUɂĂȒPɐGD

QOOWNPPQO@16:00--17:30

u
ЎR Y (a̎Rww)
̔gn̑̑Qߋ
v|
2̔gn̏ȏlɑ΂鏉ll. Klainerman null ̉ł, ݂, ɉ͑QߎRɂȂ. Alinhac null ア̉ő݂̑. {uł, Alinhac ̏(͂Ɗ֘A)̉ő̊e_IȑQߋ𒲂, GlM[ ꍇ, GlM[͗LEɗ܂邪RƂ͈قȂ鋓ꍇ邱Ɠ𖾂炩ɂ.

QOOWNPORO@16:00--17:30

u
n B (cw@Hwp@)
Two positive solutions for an inhomogeneous scalar field equation
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{uł͎̂悤Ȕȉ~^F \[ -\Delta u+u=g(u)+f(x), \ x\in \R, /] $N\ge 3$Ƃ.$f(x)\equiv 0$̏ꍇAɍLNX̔$g$ɑ΂񎩖ȉ݂̑mĂ.ł$\| f\|_{L^2(\R)}$ƂAĎ̔񎩖݂邱Ƃϕ@ɂ莦.ڂ̉local minimizerƂēAڂ̉Mountain Pass@pē.̂߂Monotonicity trickƂ@pėLEPalais-Smale\Ainteraction estimateɂGlM[]p.̂Ƃɓʐ̂悤ȉۂȂ߁Aȕ]KvɂȂ邱ƂƂČ.

QOOWNPOQR@16:00--17:30

u
Ansgar J\"ungel (Vienna University of Technology, Austria)
Entropy-entropy dissipation methods for nonlinear PDEs
v|
http://asc.tuwien.ac.at/~juengel/scripts/entropy.pdf

QOOWNPOPU@16:00--17:30

u
Gavin Brown (The Royal Institution of Australia)
Positivity of cosine sums and related expansions

QOOWNPOX@16:00--17:30

u
c@p (Tohoku University)
Minimization of the Principal Eigenvalue for an Elliptic Problem with Indefinite Weight
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This talk is concerned with an eigenvalue problem for an elliptic boundary value problem with indefinite weight on a bounded domain. We investigate a minimization problem of the positive principal eigenvalue under the constraint that the weight is bounded by a positive and a negative constant and the total weight is a fixed negative constant. It is shown that the answer to this problem crucially depends on the geometry of the domain and the total weight. Biologically, this minimization problem is motivated by the question of determining the optimal spatial arrangement of resources to preserve an endangered species. This is a joint work with Chiu-Yen Cao and Yuan Lou of the Ohio State University.

QOOWNVPV@16:00--17:30

u
c D iBww@w{j
ڗtU^gɌ镽ʒg̑Q߈萫
v|
{uł́CԁEɂڗtU^g̏EEll@Cɕʒg̑Q߈萫ƁC̒ʓIԌ̓oɏd_bi߂. ̓Iɂ́C@łԂPԂɂ݈̂ˑ镽ʒglCԑIۓĂQ߈ł邱Ƃ.܂XɁCԌɂāCɓĂԈꎟԂ̌ʂ̏ȊgƂȂĂ邱Ƃ. ؖ̌́CԕƑSԕꂼ͂CԌ𓱂oƂł.ł͈ʎĂ̂ŁC̕]Ȃǂ𗝘_IɈKv邪CԏdݕtGlM[@g邱Ƃł̍ŊJ.

QOOWNVPO@16:00--17:30

u
c G ikww@wȁj
Donsker-Varadhan^΍pSchr\"odinger^pf̃XyNg $L^p$ Ɨ
v|
Schr\"odinger^pf̃XyNg $L^p$ƗɂĂ, Simon, Sturmɂđ̌ȂĂ. , MjGauss^]pĂ̏\Ă. {uł, Donsker-Varadhan^΍̎@pǏRpNgԏSchr\"odinger^pf,ƂɔǏIȃ|eVSchr\"odinger^pf̃XyNg $L^p$ Ɨ̕Kv\ɂďqׂ. Ƃɋ[Ƃ,oȋԏ Laplace pf''subordinationp\,ɑ΂ $L^p$Ɨ̉񕜂ɂĂ̌ys.

QOOWNUPQ@16:00--17:30

u
sG (ww@Ȋw)
On quenching at spatial infinity for axisymmetric mean curvature flow equation
v|
ϋȗɏ]ē炩ȋȖʂWɊւĉ]Ώ̂łƂA̎ԔW͋ԂP̂^̉̋𒲂ׂ邱ƂɋA.{uł͖"quenching"ƌĂ΂ِNȖʂɂċc_.ِӖōŏƂȂȖʂlƖ"quenching"NAɂꂪȖʂɂēt邱Ƃ.ɁA𔺂^Ɋւ閳ł̔ۂƂ̗ގ.

u
r Ώ (ʑww)
nibNsextremal̋̑

QOOWNTQQ@16:00--17:30

u
^ (kww@w)
Rate of approach of two solutions for a semilinear parabolic equation with power nonlinearity
v|
{ułׂ͕̋zM̉̋Ɋւ錋ʂЉ. ̖, Mɐׂ̔ē锼Mi铡c^j̏lƖڂȊ֘A邱ƂGuo, Wei ɂ茤Ă. ŁAׂ̍̏ꍇɂĂ͂̉, Fila, Winkler, Yanagida ɂ, ̏lŏ\߂ꍇ, ̉̍̌̃I[_[Ɋւ錋ʂĂ, X͂̌ʂg邱ƂoĂ. łł̖ړI, ׂ̋zMɑ΂, lȍ\̂l@͂鎖łĎ, ̏ꍇł̉őO҂̌ʂƓl, ̏lŏ\߂ꍇ,̉̍̌̃I[_[Ɋւ錋ʂꂽЉ.

QOOWNTPT@16:00--17:30

u
a (ww@w)
Sharp asymptotics for a parabolic system of chemotaxis in one space dimension
v|
{uł́AA[oƗUw̕zԂLqfł^n̑̑Qߋɂčl܂.LEȑ͔M̎ȑłMjɑQ߂鎖mĂAƂ̑Qߌ̍̑Q߃[gɂĂǂ Ă܂.]̌ʂł͕^̂PL̖ƂĉƑQߌ̍̑Q߃[gLogĂȂQ߃[gœKǂƂȂĂ܂.̌ʂ́A̔̎v̔\ɒڂ鎖ɂĂLog菜Êł.XɁAQߌ𓱂ɂPꂽQ߃[gœKłƂʂ𓾂Љ܂.

QOOWNTW@16:00--17:30

u
c l (ʑww)
Stability of standing waves for a system of nonlinear Schr\"odinger equations with three wave interaction
v|
Mathieu Colin Thierry Colin ɂ蓱oꂽA[U[ƃvY}̑ݍpLqUnt^̏AnȗAOgݍp܂ޔVfBK[n̒ݔg O萫ƕs萫ɂčl.ɁAOgݍpW傫ꍇAPƂ̔VfBK[̈ȒݔgA̔Ȓݔg͕sł邱Ƃؖ.

QOOWNTP@16:00--17:30

u
Michael Ruzicka iFreiburg wEhCcj
Non-Newtonian fluids, Function Spaces and Compactness

QOOWNSQS@16:00--17:30

u
R{ @ (kww)
ʉڗgUn̉̎ԑ拓ɂ
v|
ł́C̃foCX̃V~[Vf瓱oꂽCڗgU^ƌĂ΂CgU̘An Cauchy ɂāC̎ԑ拓lDɁCgUʂ𕪐pvVAŗ^flDڗgỦ̐U镑́Cڗʂ\O͍ƕpvVAŗ^gUʂƂ̒ނ荇ɂČ܂DpvVA𓱓邱ƂɂCڗʂƊgUʂ̃oX̋ɋyڂeAIɕ]łDł́CڗʂƊgUʂƂ̑IѕɂāC̑Qߕ]ƂȂꍇl@D

QOOWNSPV@16:00--17:30

u
Jann-Long Chern (National Central Univ., Taiwan)
On the Uniqueness and Structures of Solutions for the Self-Dual Chern-Simons Model
v|
In this talk, we first give some reviews on the uniqueness and structures of multi-vortex solutions for the self-dual Chern-Simons-Higgs equation. Secondly, we study the topological and non-topological solutions for the Chern-Simons equation with two Higgs particles. In the case of one vortex at origin, after investigating the non-degeneracy of the corresponding linearized equations, we prove the uniqueness of topological solution. Furthermore, we give a complete structure of all radial solutions for the corresponding elliptic system. In particular, we also point out some drastic differences between the solutions of one and two Higgs particles models.