Results 51 to 60 of about 1,208 (288)

Oblique derivative problems for generalized Rassias equations of mixed type with several characteristic boundaries

Electronic Journal of Differential Equations, 2009
This article concerns the oblique derivative problems for second-order quasilinear degenerate equations of mixed type with several characteristic boundaries, which include the Tricomi problem as a special case.
Guo Chun Wen
doaj  

Mixed problems for degenerate hyperbolic equations

Kyoto Journal of Mathematics, 1983
The author defines boundary conditions satisfying uniform Lopatinski conditions for a degenerate hyperbolic mixed problem to be an \(H^{\infty}\)-well posed mixed problem. The method is based on energy inequalities for such mixed problems, which are analogous to those in the non-degenerate case, except for having some degenerate orders. Main difference
openaire   +3 more sources

Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones

Advanced Engineering Materials, EarlyView.
A chemistry‐aware design framework for tuning printable polydimethylsiloxane (PDMS) for vat photopolymerization (VPP) is developed using additive Gaussian process (GP) modeling. Polymer network mechanics informs variable groupings, feasible formulation constraints, and interaction variables.
Roxana Carbonell, Martha Leach, Hongtao Song, Carolyn Seepersad   +3 more
wiley   +1 more source

Continuous dependence for BV-entropy solutions to strongly degenerate parabolic equations with variable coefficients [PDF]

, 1999
summary:We consider the Cauchy problem for degenerate parabolic equations with variable coefficients. The equation has nonlinear convective term and degenerate diffusion term which depends on the spatial and time variables.
Carrillo Menéndez, José, Watanabe, Hiroshi   +1 more
core   +1 more source

Experimental Characterization and Constitutive Modeling of the Effect of Prior Inelastic Strain on the Viscoplastic Behavior of AD730 at 700 °C

Advanced Engineering Materials, EarlyView.
This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca, Patrick Villechaise, Malik Durand, Arnaud Longuet, Florent Coudon, Loïc Signor, Julien De Jaeger, Dominique Eyidi, Nathalie Bozzolo, Jonathan Cormier   +9 more
wiley   +1 more source

Mixed problem for a third order parabolic-hyperbolic model equation

Қарағанды университетінің хабаршысы. Математика сериясы
In 1978, the journal Differential Equations published an article by A.M. Nakhushev, that presented a method for correctly formulating a boundary value problem for a class of second-order parabolic-hyperbolic equations in an arbitrarily bounded domain ...
Zh.A. Balkizov
doaj   +1 more source

Machine Learning‐Supported Analysis for Predicting and Visualizing Nonlinear Relationships Between Material Properties in Electroplated Chromium Layers

Advanced Engineering Materials, EarlyView.
This study applies machine learning regression to predict chromium layer thickness in decorative trivalent chromium electroplating, using 441 experiments from laboratory‐scale (1L) and pilot‐scale (14L) setups. Tree‐based models, particularly CatBoost, outperformed linear regression by capturing nonlinear parameter interactions (R2$R^2$ up to 0.77 ...
Christoph Baumer, Christopher Mai, Luca Eisentraut, Andreas Bund, Ricardo Buettner   +4 more
wiley   +1 more source

Global Existence, General Decay, and Blow Up of the Solution to the Coupled p-Biharmonic Equation of Hyperbolic Type with Degenerate Damping Terms

Mathematics
In this work, we study a nonlinear system of p-Biharmonic hyperbolic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the initial data and the damping terms, we establish the global existence of ...
Nouri Boumaza, Billel Gheraibia, Hongwei Zhang, Zayd Hajjej   +3 more
doaj   +1 more source

Multimodal Soft Surgical Robots Enabled by Eco‐Degradable, Sterilizable Polymers and Transient Electronics

Advanced Functional Materials, EarlyView.
A compostable PGS soft surgical robot with interchangeable modules integrates transient Mo tactile and Si thermal sensors for dual feedback. The device preserves its function after clinical‐grade sterilization, demonstrates stable actuation and cardiac tissue grasping with real‐time in vivo pulsatile monitoring, and biodegrades post‐use with soil‐safe, 
Minseong Chae, Kyung‐Sub Kim, Gyeong‐Seok Hwang, Jun‐Seok Shim, Sung‐Woo Kim, Yong‐Wu Kim, Jieun Han, Jae‐Young Bae, Jae‐Hwan Lee, Minjung Chae, Jooik Jeon, Joo‐Hyeon Park, You‐Jung Park, Ju‐Yong Lee, Sung‐Geun Choi, Min‐Ha Oh, Yong‐Joong Shin, Young‐In Ryu, Ji‐Woo Gu, Seong‐Yu Choi, Jeong‐Yun Sun, Jung Keun Hyun, Myoung‐Ryul Ok, Sang Yup Kim, Edyta Wyszkowska, Ju‐Young Kim, Kang‐Sik Lee, Seung‐Kyun Kang   +27 more
wiley   +1 more source

Formation of singularities for a linearly degenerate hyperbolic system arising in magnetohydrodynamics

Advances in Nonlinear Analysis
This article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
doaj   +1 more source