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New trends in elliptic and parabolic PDEs

Organizer(s):
Name:	Affiliation:	Country:
Hongjie Dong	Brown University	USA
Zongyuan Li	City University of Hong Kong	Hong Kong

Introduction:

Regularity theories of elliptic and parabolic PDEs have long been a central topic in mathematical research. This special session will specifically focus on non-standard regularity theories that address issues involving rough coefficients, irregular boundaries, and certain types of degeneracy, as well as equations from fluids and materials. The objective of this session is to bring together experts in the field to exchange ideas, explore potential new directions, and foster collaborations.

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Jongkeun Choi	Pusan National University	Green functions for stationary Stokes systems in two dimensions
Jun Geng	Lanzhou University	The Stokes System on Convex Domains
Liuwei Gong	The Chinese University of Hong Kong	Conformal metrics of constant scalar curvature with unbounded volumes
Xianpeng Hu	The Hong Kong Polytechnic University	Concentration of weak solutions in compressible flows
Yeyao Hu	Central South University	Blow up phenomena of mean field type equations
Doyoon Kim	Korea University	Parabolic equations with a half-order time derivative and their application to boundary value problems
Seick Kim	Yonsei University	Harnack inequality for parabolic equations in double-divergence form with singular lower order coefficients
Mingxiang Li	Chinese University of Hong Kong	Some Liouville type theorems about Q-curvature
Junhee Ryu	Korea University	Sobolev estimates for degenerate linear equations on the upper half space
Wei Wu	NYU Shanghai	The scaling limit of the continuous solid-on-solid model
Longjuan Xu	Capital Normal University	Resonant modes of two hard inclusions within a soft elastic material and their stress estimates
Xiaoqian Xu	Duke Kunshan University	On the fast growth of some active scalar equations
Jinping Zhuge	Academy of Mathematics and Systems Science, Chinese Academy of Sciences	Scale separation in multiscale elliptic homogenization