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First Monday ◽  
2021 ◽  
Author(s):  
Sarah Young

In May 2016, the United States Office of the Director of National Intelligence (ODNI) issued “Security Executive Agent Directive 5” (SEAD-5) (U.S. ODNI, 2016) authorizing the collection, use, and retention of social media information for the personnel security clearance process (PSCP), a process put in place to screen applicants for eligibility for national security and public trust positions. The incorporation of social media was a watershed moment for this process as social media, and even information from the entire Internet, had not been allowed into the investigation process before. The integration was not without resistance to the implementation, though, and backstage concerns about privacy emerged in Congressional hearings. What is most interesting to note, however, is that the resistance was for the most part in support of privacy for the potential employees of whom were receiving the check and the government’s obligations for the information collection; however, there was little, if any, mention of deeper, possibly problematic privacy concerns for the social media platforms and their mediated connections that co-create a second, derivative type of content beyond the access of their users. This paper examines the hearing “Incorporating social media into federal background investigations” in response to the SEAD-5 to see what the U.S. Congress did and did not discuss at the hearing and explores potential explanations for the inclusions/omissions, ultimately answering how those in charge of policies could have overlook deeper privacy complexities, and evaluating what this can mean for government, privacy, and policy researchers.


Author(s):  
Wenhui Chen ◽  
Marcello D’Abbicco ◽  
Giovanni Girardi

AbstractIn this work, we prove the existence of global (in time) small data solutions for wave equations with two dissipative terms and with power nonlinearity $$|u|^p$$ | u | p or nonlinearity of derivative type $$|u_t|^p$$ | u t | p , in any space dimension $$n\geqslant 1$$ n ⩾ 1 , for supercritical powers $$p>{\bar{p}}$$ p > p ¯ . The presence of two dissipative terms strongly influences the nature of the problem, allowing us to derive $$L^r-L^q$$ L r - L q long time decay estimates for the solution in the full range $$1\leqslant r\leqslant q\leqslant \infty $$ 1 ⩽ r ⩽ q ⩽ ∞ . The optimality of the critical exponents is guaranteed by a nonexistence result for subcritical powers $$p<{\bar{p}}$$ p < p ¯ .


2021 ◽  
pp. 1-25
Author(s):  
Jaime Muñoz Rivera ◽  
Verónica Poblete ◽  
Octavio Vera

We consider an Klein–Gordon relativistic equation with a boundary dissipation of fractional derivative type. We study of stability of the system using semigroups theory and classical theorems over asymptotic behavior.


2021 ◽  
Vol 7 (1) ◽  
pp. 247-257
Author(s):  
Jincheng Shi ◽  
◽  
Yan Zhang ◽  
Zihan Cai ◽  
Yan Liu ◽  
...  

<abstract><p>In this paper, we study global existence and blow-up of solutions to the viscous Moore-Gibson-Thompson (MGT) equation with the nonlinearity of derivative-type $ |u_t|^p $. We demonstrate global existence of small data solutions if $ p &gt; 1+4/n $ ($ n\leq 6 $) or $ p\geq 2-2/n $ ($ n\geq 7 $), and blow-up of nontrivial weak solutions if $ 1 &lt; p\leq 1+1/n $. Deeply, we provide estimates of solutions to the nonlinear problem. These results complete the recent works for semilinear MGT equations by <sup>[<xref ref-type="bibr" rid="b4">4</xref>]</sup>.</p></abstract>


2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Makram Hamouda ◽  
Mohamed Ali Hamza ◽  
Alessandro Palmieri

<p style='text-indent:20px;'>In this paper, we establish blow-up results for the semilinear wave equation in generalized Einstein-de Sitter spacetime with nonlinearity of derivative type. Our approach is based on the integral representation formula for the solution to the corresponding linear problem in the one-dimensional case, that we will determine through Yagdjian's Integral Transform approach. As upper bound for the exponent of the nonlinear term, we discover a Glassey-type exponent which depends both on the space dimension and on the Lorentzian metric in the generalized Einstein-de Sitter spacetime.</p>


2020 ◽  
pp. 107754632096428
Author(s):  
Ankur Goel ◽  
Saleh Mobayen

This article deals with a novel adaptive robust controller for uncertain nonlinear systems relying on a proportional–integral–derivative-type nonsingular fast terminal sliding mode control. In this nonsingular proportional–integral–derivative-type terminal sliding mode controller nonsingular fast terminal sliding mode control, the nonsingular fast terminal sliding mode control sliding surface is modified with integral to match with the proportional–integral–derivative-type structure to obtain the essential attributes, namely, quick transient response, finite-time convergence, negligible steady-state error, and chattering cancellation. Furthermore, a novel rapid reaching law is also suggested with dynamic proof for providing the robustness during transient phase. The controller stability and convergence is mathematically analyzed using the Lyapunov theory. The overall control structure is simulated on MATLAB® software and tested for trajectory tracking of a two-degree-of-freedom revolute–prismatic joint industrial robotic manipulator. The rigorous test results show the performance efficacy of the innovative controller.


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