Upcoming
第125回
- 日時 Time
-
2025年3月19日(水)16:30〜18:00
- 場所 Place
-
自然科学5号館223室
NST Hall 5, room 223
- 講演者 Speaker
-
Gilbert Peralta (University of the Philippines Baguio)
- タイトル Title
-
Optimal Control for the Stationary Navier-Stokes Equation Involving the
Pressure
- 概要 Abstract
-
We consider optimal control problems for the two-dimensional stationary
Navier-Stokes equation with observations involving the pressure. For
point observations, it is known that such problems give rise to PDEs
with measure data for the corresponding adjoint equation. In our
analysis, we will examine the state equation locally near a regular
(non-singular) solution. Roughly speaking, regular solutions are those
that yield topological isomorphisms for the linearized operators and
consequently lead to the uniqueness of solutions within a certain
neighborhood. Local optimality systems for such control problems will be
presented.
第124回
- 日時 Time
-
2025年3月12日(水)16:00〜18:15
- 場所 Place
-
自然科学5号館数学棟4階コロキウム
NST Hall 5, Math building, 4th floor, Colloqium room
Zoom registration: https://forms.gle/y876CNxkiyUdyoUy9
講演1: 16:00–17:00
- 講演者 Speaker
-
Yoshiho AKAGAWA (Gifu KOSEN(NAtional Institute of Technology))
- タイトル Title
-
An evolution inclusion describing strain-hardening phenomenon
- 概要 Abstract
-
Strain-hardening is a phenomenon that results from elasto-plastic
deformation. This phenomenon makes additional deformation difficult as
plastic deformation progresses.In 1976, Duvaut and Lions introduced a
prototype model of elasto-plasticity. The essential idea of this model
is to characterise elasto-plastic deformation by imposing a constraint
on the deviatoric part of the stress tensor. We describe
strain-hardening by allowing the constraint to depend on an unknown
function. The unknown dependencies of the constraint are the crucial
points of this model. As one of them, the parallel shift of the
constraint plays an important role. In the case when the parallel shift
depends on time nonlocally or some unknowns, then the model represents a
more realistic phenomenon. This system is related to Moreau’s sweeping
process and is formulated as an evolution inclusion governed by a
time-dependent subdifferential.
講演2: 17:15–18:15
- 講演者 Speaker
-
Megumi SANO (Hiroshima Univ.)
- タイトル Title
-
Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces
and their applications
- 概要 Abstract
-
We study boundedness, optimality and attainability of Trudinger-Moser
type maximization problems in the subcritical radial Sobolev spaces. Our
inequality converges to the original Trudinger-Moser inequality
including the optimal exponent and the concentration limit in some
sense. Finally, we consider applications of our inequality to elliptic
and parabolic problems with exponential nonlinearity.This is a joint
work with Masahiro Ikeda(Osaka Univ.) and Koichi Taniguchi(Shizuoka
Univ.).
第123回
- 日時 Time
-
2025年1月6日(月)16:30〜18:00
- 場所 Place
-
自然科学5号館研究棟2階 209A室 + Zoom
Natural Science and Technology Hall 5, 2nd floor, Room 209A
Zoom registration: https://kanazawa-university.zoom.us/meeting/register/tZMtdeGprTItGdSVnSVyL2oVcqme0N4TEjkW
- 講演者 Speaker
-
Philip Schrader(Murdoch University)
- タイトル Title
-
Curve shortening by Sobolev gradient flow
- 概要 Abstract
-
The classical curve shortening flow, or one-dimensional mean curvature
flow, is the gradient descent of the length functional on curves when
the gradient is taken with respect to a parametrisation invariant L^2 metric. In this talk I will discuss the
gradient flows of length with respect to a family of parametrisation
invariant Sobolev H^1 metrics with
different degrees of homogeneity. The family of flows all turn out to be
equivalent under time reparametrisations. Solutions preserve
embeddedness, converge to points and appear to become round while
converging, like the classical flow. But unlike the classical flow, we
do not encounter singularities.
Information
セミナーの趣旨
2013年4月,金沢大学の偏微分方程式研究者有志が集まり本セミナーを企画しました。各回の話題は,偏微分方程式の理論的な側面を中心に,セミナー幹事の関心に従い大らかに選択しています。参加者がセミナーを十分楽しみ,勉強し,新しい発見を得られるように,各回の最初の20分から30分程度,講演者の方にはその話題への導入となるような解説をお願いしています。ご関心がある方はどなたでもご自由にご参加ください。
どうぞよろしくお願いいたします。
セミナー幹事 Organizers
Patrick van Meurs・大塚 浩史・小俣 正朗・蚊戸 宣幸・木村 正人・榊原 航也・Thomas Geert De Jong・野津 裕史・橋本 伊都子・Norbert Pozar・Julius Fergy Tiongson Rabago
リンク Links
アクセス Access・数学コース Math course・計算数理プログラム Applied Math program
お問い合わせ Contact
Norbert Pozar ・npozar (at) se.kanazawa-u.ac.jp
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