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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convex integration and non-uniqueness of weak solutions for viscous fluids
粘性流体弱解 凸积分 非唯一性
2023/4/23
In this talk, I will discuss the method of convex integration and its applications on non-uniqueness of weak solutions to the hyper-viscous incompressible Navier-Stokes equations as well as the hypo-v...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Uniqueness of BV Solution for Compressible Euler Equations
可压缩 欧拉方程 BV解 唯一性
2023/4/17
Compressible Euler equations are a typical system of hyperbolic conservation laws, whose solution forms shock waves in general. It is well known that global BV solutions of system of hyperbolic conser...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convexity, Uniqueness, and Stability of the Regular Shock Reflection-diffraction Problem
规则冲击 反射衍射问题 凸性 唯一性 稳定性
2023/4/17
We will talk about our recent results on the convexity, uniqueness, and stability of regular reflection solutions for the potential flow equation in a natural class of self-similar solutions. The appr...
Impossibility on Tamper-Resilient Cryptography with Uniqueness Properties
black-box separation simulatable attack tamper-resilience
2018/6/5
In this work, we show negative results on the tamper-resilience of a wide class of cryptographic primitives with uniqueness properties, such as unique signatures, verifiable random functions, signatur...
On Metrics to Quantify the Inter-Device Uniqueness of PUFs
PUF Physically Unclonable Function Uniqueness
2016/3/23
Physically Unclonable Functions (PUFs) have been an emerging topic in hardware security and trust in recent years, and many different kinds of PUFs have been presented in the literature. An important ...
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations
global strong solutions one-dimensional compressible Navier-Stokes equations
2015/10/15
We consider Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial datum are smooth and the initial density is bounded by below by a posi...
«Paralipomena» on uniqueness in inverse scattering from a finite number of data
Fourier transform diffraction tomography inverse scattering
2015/9/2
This paper shows new proof of non-uniqueness of the solution for the retrieving of a compact-supported function starting from a finite number of samples of its spectrum. As will be shown, this is rele...
Uniqueness of a basic nonlinear structure
Nonlinear structure nonlinear linear time-invariant general circuit
2015/8/13
In this paper we show that systems consisting of a memory-less nonlinearity sandwiched between two linear time-invariant (LTI) operators are unique modulo scaling and delays. We mention a few corollar...
Uniqueness of circuits and systems containing one nonlinearity
The nonlinear circuits nonlinear nonlinear elements
2015/8/13
We study systems containing one memoryless nonlinearity. We show that two such systems have the same I/O operator only when they are related by simple scaling, delay, and loop transformations. The the...
Existence and uniqueness of optimal matrix scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/8/12
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Perceptual uniqueness point effects in monitoring internal speech
monitoring internal speech
2015/4/1
Disagreement exists about how speakers monitor their internal speech. Production-based accounts assume that self-monitoring mechanisms exist within the production system, whereas comprehension-based a...
Uniqueness of limestone soil-forming substrate in the forest ecosystem classification
limestone pedology micromorphology
2015/3/6
The uniqueness of limestone soil-forming substrate was assessed with respect to the classification of forest ecosystems. 50 soil profiles from the Bohemian Karst were studied and the results were conf...
The author of two documentary and nine fiction films made over a period of twenty-five years, Ousmane Sembene is presently one of Africa's leading writers as well as the continent's best-known film di...