Results 71 to 80 of about 10,963,226 (321)
Chemo‐Mechanical Coupling in Hydrogels: Dynamics in the Diffusion‐Limited Regime
A time‐dependent continuum model is developed to capture the transient swelling dynamics of chemo‐mechanical hydrogels. By coupling chemical reactions, solvent transport, and polymer deformation, volume phase transitions, reaction kinetics, and transient mechanical instabilities are analyzed.
Yao Xiong+2 more
wiley +1 more source
Convex Analysis and Optimization with Submodular Functions: a Tutorial [PDF]
Set-functions appear in many areas of computer science and applied mathematics, such as machine learning, computer vision, operations research or electrical networks.
Bach, Francis
core +3 more sources
Zinc‐air batteries demonstrate great potential for sustainable energy storage but face major anode‐related challenges. This review provides a mechanism‐driven overview of zinc anode interfacial issues, e.g. dendrite formation, passivation, self‐corrosion, and hydrogen evolution; and explores advances in electrode, surface, and electrolyte engineering ...
Hong Zhao+2 more
wiley +1 more source
Solving 1D Conservation Laws Using Pontryagin's Minimum Principle [PDF]
This paper discusses a connection between scalar convex conservation laws and Pontryagin's minimum principle. For flux functions for which an associated optimal control problem can be found, a minimum value solution of the conservation law is proposed ...
Kang, Wei, Wilcox, Lucas C.
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Inequalities of Fejer Type Related to Generalized Convex Functions
This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Holder’s inequality when the absolute value of the derivative
S. Aslani, M. R. Delavar, S. M. Vaezpour
semanticscholar +1 more source
Approximation of Convex Functions
It is known [\textit{M. Ghomi}, Proc. Am. Math. Soc. 130, No.~8, 2255--2259 (2002; Zbl 0999.26008)] that every convex function on an open interval \(I\) can be uniformly approximated by convex \(C^\infty\)-functions on every compact subinterval \([a,b]\) of \(I\). Ghomi's approach requires the knowledge of Lebesgue integral and convolutions. The aim of
openaire +3 more sources
Walnut seeds are enclosed in a remarkably strong shell made of sclerenchyma, separated by a pectin‐rich suture tissue. Different cell shapes and chemical composition of this tissue point to an opening mechanism, which is triggered by cyclic humidity changes.
Sebastian J. Antreich+3 more
wiley +1 more source
Multi-scale exploration of convex functions and bandit convex optimization [PDF]
We construct a new map from a convex function to a distribution on its domain, with the property that this distribution is a multi-scale exploration of the function.
Bubeck, Sébastien, Eldan, Ronen
core +1 more source
Convex combinations, barycenters and convex functions [PDF]
The article first shows one alternative definition of convexity in the discrete case. The correlation between barycenters, Jensen's inequality and convexity is studied in the integral case. The Hermite-Hadamard inequality is also obtained as a consequence of a concept of barycenters.
openaire +3 more sources
Enzyme‐Regulated Extended Swelling of Hydrogels for Dehiscence‐Less Tissue Expansions
An interpenetrating hydrogel network with swelling under regulation by enzymatic degradation (INSURED) is fabricated to avoid dehiscence. INSURED remains structurally intact post‐implantation, while HYAL injection enables control over the onset and rate of swelling.
Byung Ik Park+10 more
wiley +1 more source