Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations. [PDF]
Eisenmann M, Hansen E.
europepmc +1 more source
On a Degenerate Parabolic Problem in Holder Spaces
In this paper, we study some degenerate parabolic equation with Cauchy-Dirichlet boundary conditions. This problem is considered in little Holder spaces.
Labbas, R (reprint author), Univ Havre, Math Lab, LMAH, FST,BP 540,25 Rue Philippe Lebon, F-76058 Le Havre, France. +4 more
core +1 more source
In Situ Contact Angle Measurement for Autonomous Spin Coating in Self‐Driving Labs
A vision‐based add‐on transforms commercial spin coaters into autonomous modules of Self‐Driving Labs. Combining a width‐scaled U‐Net with classical geometric analysis, the system simultaneously measures contact angles and estimates substrate pose using a single camera.
Sven Fischer, Micha Hiegle, Holger Röhm
wiley +1 more source
Moser–Nash kernel estimates for degenerate parabolic equations
In this paper we deal with the Cauchy problem associated to a class of nonlinear degenerate parabolic equations, whose prototype is the parabolic p-Laplacian (2>p>∞).
Ragnedda, F. +3 more
core +1 more source
Thermometric Based‐Microswimmers with Chemical and Optical Engines
Temperature sensing at small scales is typically performed using passive luminescent particles. Here, an alternative approach is demonstrated by integrating upconversion thermometry into self‐propelled microswimmers powered by chemical fuels or light. This strategy offers a step toward dynamic thermal sensing at the microscale, relevant to both lab‐on ...
João M. Gonçalves, Katherine Villa
wiley +1 more source
The stochastic elementary formula method and approximate travelling waves for semi-linear reaction diffusion equations [PDF]
In this thesis we consider approximate travelling wave solutions for stochastic and generalised KPP equations and systems by using the stochastic elementary formula method of Elworthy and Truman.
Zhao, Huaizhong
core
Optimal control of stochastic partial differential equations in Banach spaces [PDF]
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio +1 more
core
Liquid Jetting‐Based Miniature Robotic Navigation in Confined Fluidic Spaces
We introduce a new class of liquid‐jetting‐based miniature robots (JetBots) ranging in size from mm‐to‐cm, featuring a unified approach in design, fabrication, and actuation. They demonstrate fast locomotion (30.3 cm/s), rapid steering (648.8°/s), and diverse functions, such as puncturing soft materials and unlimited cargo sampling and delivery, paving
Debasish Roy, Tianlu Wang
wiley +1 more source
Second-Order Regularity for Degenerate Parabolic Quasi-Linear Equations in the Heisenberg Group
In the Heisenberg group Hn, we obtain the local second-order HWloc2,2-regularity for the weak solution u to a class of degenerate parabolic quasi-linear equations ∂tu=∑i=12nXiAi(Xu) modeled on the parabolic p-Laplacian equation.
Zijing Zhao +3 more
core +1 more source
Liposomal Delivery of L‐2‐Hydroxyglutarate for Targeting Epigenetic Dysregulation in Osteoarthritis
Osteoarthritis involves cartilage degeneration, inflammation, and epigenetic dysregulation. A liposomal formulation of the TET1 inhibitor L‐2‐hydroxyglutarate to overcome rapid joint clearance was developed. The formulation showed good physicochemical properties, reduced inflammatory and catabolic gene expression in chondrocytes, and alleviated ...
Denise Murgia +10 more
wiley +1 more source

