Results 81 to 90 of about 40,571 (332)
Almost Periodicity and Degenerate Parabolic Equations
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Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption [PDF]
We study the limit behaviour of solutions of a class of solutions of nonlinear parabolic equations with a degenerate strong absorption. We prove that two types of phenomena can occur: the pointwise singularity or the formation of razor blades (or ...
Shishkov, Andrey, Veron, Laurent
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Live Quantitative Characterization for Stem Cell Biomechanics
These findings demonstrate an accessible technique for real‐time, high‐resolution mechanical mapping of live stem cells, without the use of specialised probes or advanced modelling techniques. This approach provides direct insight into localised cytoskeletal dynamics under chemical treatment and holds potential for broader application in understanding ...
Kaiwen Zhang +5 more
wiley +1 more source
An ingestible electronic capsule, ICOPS, enables non‐invasive optical gut stimulation in rodents. ICOPS features modular LEDs and optimized power transfer for robust, in vivo functionality. This cleanroom‐free, 3D‐printed platform offers a compact, scalable solution for optogenetically interfacing enteric neural circuits, promising advances in ...
Mohamed Elsherif +9 more
wiley +1 more source
The cauchy problem of a degenerate parabolic equation
This note is concerned with the existence of a weak solution for a degenerate Cauchy problem of parabolic type in then-dimensional spaceRn. The degenerate property is in the sense that the matrix (aij(t,x)) involved in the differential operator is not necessarily positive definite.
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Rotary 4D Printing of Programmable Metamaterials on Sustainable 4D Mandrel
The paper introduces open, rotary 4D printing of programmable tubular metamaterials. It presents an open, non‐planar path‐to‐G‐code pipeline and shape‐changing rotary mandrel that enable support‐free fabrication and multi‐stimuli actuation. Experiments and FEA validate the mentioned features and stress redistribution.
Hesam Soleimanzadeh +4 more
wiley +1 more source
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
Hongjie Dong, Nicolai V. Krylov
doaj
The tripodal terpyridine‐1,3,5‐benzene tricarboxamide (BTA) ligand 1 is employed in the self‐assembly formation of novel luminescent materials using a range of lanthanide ions. In the polar protic solution, the results from the photophysical measurements are assessed using nonlinear regression analysis, while the functional material properties of the ...
Jason M. Delente +6 more
wiley +1 more source
Asymptotic Behavior of a Class of Degenerate Parabolic Equations
We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain () with a polynomial growth nonlinearity of arbitrary order.
Hongtao Li, Shan Ma
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Harnack Estimates for Quasi-Linear Degenerate Parabolic Differential Equations [PDF]
We establish the intrinsic Harnack inequality for non-negative solutions of a class of degenerate, quasilinear, parabolic equations, including equations of the p-Laplacian and porous medium type.
DiBenedetto, Emmanuele +2 more
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