Results 91 to 100 of about 4,288,813 (291)
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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Analysis of complex nonlinear reaction-diffusion equations [PDF]
, 2008 A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
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Advanced Engineering Materials, EarlyView.Deep‐UV (258 nm) femtosecond pulses enable uniform amorphous silicon writing on Si(100)/(111) with a six‐fold larger fluence amorphization window than NIR methods. Optimized fluence and overlap yield 20–45 nm uniform and continuous amorphous layers. Microscopy shows sharp interfaces, and real‐time reflectivity reveals nanosecond melt–resolidification ...
Wissal Benali +5 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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Architecture‐Driven Sensor Stability in Weft‐Knitted Engineering Textiles
Advanced Engineering Materials, EarlyView.Textile‐integrated sensor architectures are systematically compared to evaluate their electromechanical behavior under combined mechanical and environmental loading. Pocket‐based integration exhibits stable and reproducible signals, whereas tunnel‐based routing shows higher sensitivity accompanied by increased variability.
Adnan Maroof Khan +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2014 In this article we study the existence, uniqueness and asymptotic stability of solution to the mixed problem for the semilinear wave equation with acoustic boundary conditions in domains with non-locally reacting boundary.
Cicero L. Frota +2 more
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Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials
Advanced Engineering Materials, EarlyView.Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
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Attractors for Parabolic Problems with Nonlinear Boundary Conditions
Journal of Mathematical Analysis and Applications, 1997 The authors investigate the long time behaviour of solutions of reaction diffusion systems of the following structure: \[ u_t-\text{div}(a(x)\nabla u)+ \sum B_j(x)\partial_ju+ \lambda u+ f(u)=0\text{ in }\Omega,\quad {\partial u\over\partial n_a}+ g(u)=0\text{ on }\partial\Omega.\tag{1} \] Here \(u=(u_1,\dots,u_m)\), \(m\geq 1\), \(a(x)=\text{diag}(a_1(
Carvalho, Alexandre N +3 more
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Advanced Engineering Materials, EarlyView.Sustainability assessment requires methodologies that appropriately distinguish between additive and non‐additive material properties. A toxicity‐weighted scoring system is developed and applied that accounts for the disproportionate influence of highly toxic constituents through nonlinear weighting functions, providing more realistic estimates than ...
Seth Mehalic +2 more
wiley +1 more source
Electronic Journal of Differential Equations, 2019 We show the existence of solutions for nonlinear elliptic partial differential equations with Steklov nonlinear boundary conditions involving a Kirchhoff type operator.
Mateus Balbino Guimaraes +2 more
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