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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global large strong solutions to the 2D radially symmetric compressible Navier-Stokes equations on bounded domain
有界域 二维径向对称 可压缩Navier-Stokes方程 全局大强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible Navier-Stokes equations with density-dependent viscosity. Under the condition of beta>1, we prove the global exist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functions of bounded variation and nonlocal functionals
有界 变差函数 非局部泛函
2023/11/29
In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by mean...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bubbling and extinction for some fast diffusion equations in bounded domains
有界域 快速扩散方程 气泡 消光
2023/11/13
Motivated by the Wisconsin octupole experiments on anomalous diffusion of hydrogen plasma across a purely poloidal octupole magnetic field, Berryman-Holland 1980 proved the stability of separable solu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/17
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/23
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
袁源副研究员：Blowup of the entropy-bounded classical solutions to the nonisentropic compressible Navier-Stokes equations
非等熵 可压缩 纳维-斯托克斯方程 熵界经典解 爆炸
2023/4/11
This talk concerns the instantaneous blowup of entropy-bounded classical solutions to the vacuum free boundary problem or the Cauchy problem of nonisentropic compressible Navier-Stokes equations.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces
临界正则性空间 界密度 非齐次 纳维-斯托克斯方程 全局唯一解
2023/4/25
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Researches on manifolds with scalar curvature bounded from below
标量曲率 有界 流形
2023/4/25
The motivation to study manifolds with scalar curvature bounded from below comes from Mathematical General Relativity and Riemannian Geometry. In this talk, I'll first briefly introduce some problems ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Layer separation for the 3D Navier-Stokes equation in a bounded domain
有界域 三维 纳维-斯托克斯方程 层分离 NS方程
2023/4/26
We provide an unconditional $L^2$ upper bound for the boundary layer separation of 3D Leray--Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy between a (turbulen...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bounded Poincaré maps for BGG complexes
BGG复形 有界 Poincaré映射
2023/5/10
Poincaré integral operators give explicit potential and provide an inverse of differential operators in the sense of null-homotopy. These operators play a key role in the mathematical and numerical an...
Lattice Gaussian Sampling by Markov Chain Monte Carlo: Bounded Distance Decoding and Trapdoor Sampling
lattice Gaussian sampling Markov chain Monte Carlo bounded distance decoding
2019/6/5
Sampling from the lattice Gaussian distribution plays an important role in various research fields. In this paper, the Markov chain Monte Carlo (MCMC)-based sampling technique is advanced in several f...
Continuous Space-Bounded Non-Malleable Codes from Stronger Proofs-of-Space
Non-Malleable Codes Proofs of Space Tamper-resilience
2019/5/24
Non-malleable codes are encoding schemes that provide protections against various classes of tampering attacks. Recently Faust et al. (CRYPTO 2017) initiated the study of space- bounded non-malleable ...
Simple Schemes in the Bounded Storage Model
Bounded Storage Model Commitment Oblivious Transfer
2019/5/21
The bounded storage model promises unconditional security proofs against computationally unbounded adversaries, so long as the adversary’s space is bounded. In this work, we develop simple new constru...
Optimal Bounded-Collusion Secure Functional Encryption
Bounded-Key Functional Encryption Correlated Garbling
2019/3/22
We construct private-key and public-key functional encryption schemes secure against adversaries that corrupt an a-priori bounded number of users and obtain their functional keys, from minimal assumpt...
Leakage-resilient Identity-based Encryption in Bounded Retrieval Model with Nearly Optimal Leakage-Ratio
Leakage-resilience Bounded retrieval model Identity-based Encryption
2019/1/26
We propose new constructions of leakage-resilient public-key encryption (PKE) and identity-based encryption (IBE) schemes in the bounded retrieval model (BRM). In the BRM, adversaries are allowed to o...