Mdemeriti November 2022

mdemeriti@mathdept.okstate.edu

1 participants
5 discussions

Zoom Link for Math Colloquium Today
by David Wright 18 Nov '22

18 Nov '22

Dear friends, The Zoom link for today's colloqium in MSCS 101 at 3:30 Pm is down below Speaker: Kazuo Yamazaki, Texas Tech University Title: Singular stochastic PDE's and non-uniqueness in mathematical physics and fluid mechanics Topic: Math Colloquium Time: Nov 18, 2022 03:30 PM Central Time (US and Canada) Join Zoom Meeting https://zoom.us/j/99345536093?pwd=RFhKNXJBMStvcVlTZnhudVAvc1ZRdz09 Meeting ID: 993 4553 6093 Passcode: 716173 Join by Skype for Business https://zoom.us/skype/99345536093

1 0

Math Colloquium On Friday
by David Wright 17 Nov '22

17 Nov '22

Dear friends: On Friday, we welcome back an OSU alum Kazuo Yamazaki, who earned his doctorate here in 2014 under the direction Of Professor Jiahong Wu, and has since become an Assistant Professor at Texas Tech University. Dr. Yamazaki will deliver the colloquium at 3:30 PM on Friday in MSCS 101 on the first floor. Title: Singular stochastic PDE's and non-uniqueness in mathematical physics and fluid mechanics His abstract is below. There will be refreshments after the colloquium at 4:30 in the lounge. After that, we will be taking Dr. Yamazaki out to dinner and you are welcome to come along. Details to be arranged on Friday. Sincerely, David Wright Abstract: In this talk, I would like to explain recent developments in PDE's of my interest. First, many PDE's that were derived and analyzed by physicists consisted of random force, specifically space-time white noise. Examples include Kardar-Parisi-Zhang equation or Phi4 model from quantum field theory. The roughness of such noise led to a lack of sufficient spatial regularity for the solution and therefore the non-linear terms therein to be ill-defined. The recent inventions of the theory of regularity structures by Hairer and the theory of paracontrolled distributions by Gubinelli, Imkeller, and Perkowski nonetheless allow one to obtain some solution theory, and their contributions are considered to be exceptionally important in recent advances in mathematics. Second, the convex integration technique, originally accredited to the work of Nash in geometry in 1954, was recently extended significantly and adapted to equations of fluids. It has led to multiple breakthroughs, e.g., the resolution of Onsager's conjecture about Euler equations from 1949, Taylor's conjecture about MHD from 1974, non-uniqueness of the weak solution to the 3D Navier-Stokes equations which settled Serrin's conjecture from 1963. After describing these developments, I would like to explain more recent developments, as well as open problems that connect these two techniques.

1 0

Math Colloquium Tomorrow
by David Wright 10 Nov '22

10 Nov '22

Dear friends: One of our postodctoral visiting assistant professors Jonathan Johnson will favor us with the colloquium tomorrow at 3:30 PM in MSCS 514 (fifth floor). His title is Keeping Things in Order and the abstract is below. After that there are two colloquia remaining this semester: Friday Nov. 18, Kazuo Yamazaki, OSU Ph.D. and Assistant Professor at Texas Tech University. Title: Singular stochastic PDE's and non-uniqueness in mathematical physics and fluid mechanics Friday Dec. 2, Weizhang Huang, University of Kansas. Title: The MMPDE moving mesh method and applications Sincerely, David Wright Keeping Things in Order, Jonathan Johnson Abstract: In the past couple of decades, group orderability has played a surprising role in the study of 3-manifolds. In this talk, we will focus on two key questions. When can the elements of a group be bi-ordered; that is, when is there a total ordering of a group’s elements invariant under group multiplication? Second, when does an automorphism of a group preserve a bi-ordering of the group? In particular, we will explore these questions for the fundamental groups of exteriors of links in the 3-sphere.

1 0

Colloquium Reminder
by David Wright 04 Nov '22

04 Nov '22

Hi: Just a reminder there is a math colloquium today at 3:30 PM in MSCS 101. Prof. Xiaoming Zheng of Central Michigan University Title: Tumor Grows to Lower Extracellular Matrix Conductivity Regions under Darcy’s Law and Steady Morphology

1 0

Math Colloquium on Friday Nov. 4
by David Wright 01 Nov '22

01 Nov '22

Dear friends: There is colloquium talk this Friday, Nov. 4, at 3:30 PM in MSCS 101. Prof. Xiaoming Zheng of Central Michigan University Title: Tumor Grows to Lower Extracellular Matrix Conductivity Regions under Darcy’s Law and Steady Morphology The abstract is below. There will be refreshments at 4:30 in the department lounge, and we will take the speaker to afterwards, and anyone who wishes to come along is welcome. Sincerely, David Wright Abstract: We study a classic Darcy’s law model for tumor cell motion with inhomogeneous and isotropic conductivity. The tumor cells are assumed to be a constant density fluid flowing through porous extracellular matrix (ECM). The ECM is assumed to be rigid and motionless with constant porosity. One and two dimensional simulations show that the tumor mass grows from high to low conductivity regions when the tumor morphology is steady. In the one-dimensional case, we proved that when the tumor size is steady, the tumor grows towards lower conductivity regions. We conclude that this phenomenon is produced by the coupling of a special inward flow pattern in the steady tumor and Darcy’s law which gives faster flow speed in higher conductivity regions.

1 0

2025

2024

2023

2022

2021

Mdemeriti November 2022