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We investigate $L^2$-contraction and time-asymptotic stability of large shock for scalar viscous conservation laws with polynomial flux. For the flux $f(u) = u^p (2 ≤ p ≤ 4)$ in the regime of its strict convexity, we can prove $L^2$-contraction and time-asymptotic stability of arbitrarily large viscous shock profile in $H^1$-framework by using $$a$$-contraction method with time-dependent shift and suitable weight function, which answers a question in [Blochas and Cheng, arXiv2501.01537, 2025]. Additionally, if the initial perturbation belongs to $L^1$ , then $L^2$ time-asymptotic decay rate $$t^{−1/4}$$ can be obtained. 

PurposeUniversities and government agencies offer academic scientists entrepreneurship training and resources to catalyze their involvement in technology commercialization activity. This study investigates the impact of such training on the entrepreneurial intention and behaviors of graduate students and faculty researchers, focusing on factors that moderate these effects. Design/methodology/approachData were collected through pre-, post- and longitudinal quantitative surveys administered to 3,455 participants in the National Science Foundation I-Corps Teams program in the United States. The analysis involved repeated-measures ANOVA to assess changes in entrepreneurial intention and binary logistic regression to predict entrepreneurial behavior over time. FindingsThe first set of analyses revealed that the impact of entrepreneurial training on intention was moderated by three key factors: (1) professional role (Ph.D. student or faculty member), (2) prior entrepreneurial experience, and (3) the perceived potential of a specific technology commercialization project. Longitudinal analyses revealed that perceived project potential, followed by prior entrepreneurial experience, were the strongest moderators affecting the strength of the relationship between entrepreneurial intention and actual entrepreneurial behavior. Originality/valueAt a theoretical level, this study advances our understanding of the intention–behavior gap in academic entrepreneurship by identifying key moderating factors – professional role, prior entrepreneurial experience and project potential – that influence how intentions translate into actions. At an applied level, it explores how immersive programs such as I-Corps influence academic scientist engagement in startup activities at research universities. 

We extend the symmetry topological field theory (SymTFT) framework to open quantum systems. Using canonical purification, we embed mixed states into a doubled (2+1)-dimensional topological order and employ the slab construction to study (1+1)-dimensional mixed-state phases through condensable algebras in the doubled SymTFT. Hermiticity and positivity of the density matrix impose additional constraints on allowable anyon condensations, enabling a systematic classification of mixed-state phases—including strong-to-weak symmetry breaking (SWSSB) and average symmetry-protected topological (ASPT) phases. We present examples of mixed-state phase transitions involving SWSSB and show how gauging within the open SymTFT framework reveals connections among different mixed-state phases. 

Abstract Inkjet printing has emerged as a versatile technique for the fabrication of functional materials towards non-traditional electronics, offering high precision maskless fabrication capability, low material waste, and wide substrate compatibility. However, the realization of high-quality printing of microscale features requires precise control over the jetting behavior and film formation. In this work, we systematically investigate the printing parameters for the PEDOT:PSS ink on the flexible substrates used in wearable and flexible electronics. By exploring the interplay between the printing waveform parameters, such as drive voltage, dwell time, and jetting frequency, we establish a robust operational window enabling stable droplet ejection and tunable deposition. Droplet spacing is further studied to achieve reliable droplet coalescence for high quality fabrication of the continuous patterns with high line resolution and pattern uniformity. Multilayer printing reveals consistent improvements in film thickness and electrical conductivity, with a pronounced enhancement in early layers due to percolation and phase rearrangement. The achieved printing strategy is successfully applied in functional circuit demonstrations, showing excellent electrical stability under mechanical deformation. This work offers a reproducible and scalable printing approach tailored to the PEDOT:PSS inks, providing a technical foundation for the fabrication of high-performance flexible and printed electronics. 

Debugging process plays a crucial role in helping students pinpoint their specific learning weaknesses, allowing them to modify their strategies for enhanced academic performance. Notably, changes in pupil dilation serve as an indicator of arousal associated with confronting learning challenges. This physiological response acts as a “physiological footprint” that reflects cognitive engagement, facilitating internally focused cognitive processes such as insight generation and mind-wandering. In this study, we proposed that pupil dilation could be a valuable predictor of students’ metacognitive awareness throughout the debugging process, specifically within an augmented reality (AR) learning environment. The findings revealed significant differences in pupil dilation among students categorized by their varying levels of debugging, which represents a specific dimension of the Metacognitive Awareness Inventory.