Results 71 to 80 of about 39,932 (267)
Advances in Difference Equations, 2019 Consider an anisotropic parabolic equation with a nonlinear convection term depending on the spatial variable. If the diffusion coefficients are degenerate, in general, the boundary trace cannot be defined for the weak solution.
Huashui Zhan
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Reaction-diffusion waves with nonlinear boundary conditions
Networks & Heterogeneous Media, 2013 A reaction-di usion equation with nonlinear boundary condition is considered in a two-dimensional in nite strip. Existence of waves in the bistable case is proved by the Leray-Schauder method.
Apreutesei, Narcisa, Volpert, Vitaly
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Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Journal of Inequalities and Applications, 2018 Consider a non-Newtonian fluid equation with a nonlinear convection term and a source term. The existence of the weak solution is proved by Simon’s compactness theorem.
Huashui Zhan
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First order differential systems with a nonlinear boundary condition via the method of solution-regions. [PDF]
Bound Value Probl, 2021 Frigon M, Tella M, F Tojo FA.
europepmc +1 more source
Soft Mechanical‐Electrical Logic Using Liquid Metal‐Filled 3D‐Printed Architectures
Advanced Engineering Materials, EarlyView.We present 3D‐printed soft mechanical–electrical logic elements that use liquid metal–filled silicone tubes actuated by thermoplastic polyurethane/polylactic acid (TPU/PLA) architectures to produce Boolean operations. Complementary normally open and normally closed unit cells perform repeatable binary transitions and can be combined into more complex ...
Christoph Lehmann +2 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Scandium (Sc)‐doped AlCoCrFeMo HEA coatings are fabricated via flame spraying with 0.1, 0.3, and 0.5 wt% Sc additions. Among these, the HEA‐Sc0.3 coating exhibits the highest corrosion resistance, indicated by a more positive corrosion potential and lower current density.
Pankaj Kumar +7 more
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Open boundary conditions for nonlinear initial boundary value problems
Journal of Computational PhysicsWe present a straightforward energy stable weak implementation procedure of open boundary conditions for nonlinear initial boundary value problems. It simplifies previous work and its practical implementation.
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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 +9 more
wiley +1 more source
Quasilinear Parabolic Systems with Nonlinear Boundary Conditions
Journal of Differential Equations, 2000 Let \(\Omega\) be a smoothly bounded domain in \(\mathbb{R}^n\) with unit outward normal \(\eta\), and let \(M_i> 0\), \(\alpha_i\), and \(m_{ij}\) be nonnegative constants for \(i,j=1,\dots, n\). This paper is considered with the initial-boundary value problem \[ \begin{gathered} \frac {\partial u_i}{\partial t} = \nabla(u_i^{\alpha ^i}\nabla u_i ...
Wang, Shu, Wang, Mingxin, Xie, Chunhong
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