Results 81 to 90 of about 1,355,996 (330)
On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation [PDF]
Discrete Dynamics in Nature and Society, 2009 By Oleinik′s line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0, T] × R2: ∂xxu + u∂yu − ∂tu = f(⋅, u), provided that T is suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in ...
Zongqi Liang, Huashui Zhan
openaire +3 more sources
A Cryopreservation‐Based Supply Chain Strategy for Extrusion Bioprinting in Space
Advanced Materials Technologies, EarlyView.Extrusion bioprinting on crewed space platforms requires a bioink that stays functional along the logistic chain. Here, cells and biomaterial ink travel separately, the cells cryopreserved and the ink cold stored, and are combined only minutes before printing.
Johannes Windisch +7 more
wiley +1 more source
UCST‐Driven Shape Morphing in Digital Light Processing 4D‐Printed Hydrogels
Advanced Materials Technologies, EarlyView.A DLP‐printable UCST hydrogel based on poly(acrylic acid‐co‐acrylamide) enables reversible thermally induced expansion and 4D shape morphing. Rational control of composition, porosity, and multimaterial architecture enables predictable 4D shape morphing through differential swelling and localized actuation, opening new opportunities for high‐resolution
Fato Niang +2 more
wiley +1 more source
Liquid Crystal Elastomer Actuator Matrix for Large Area Applications
Advanced Materials Technologies, EarlyView.A scalable approach is used to manufacture a digitally‐controllable, 2D 5 × 5 actuator matrix. The elements of the matrix are produced by direct ink writing of a liquid crystal elastomer ‘artificial muscle’ on large‐area flexible thin‐film heaters. In optimizing the low‐power actuators, multiple heater designs and substrate materials are investigated ...
Giulia Spallanzani +5 more
wiley +1 more source
Relaxation approximations and bounded variation estimates for some partial differential equations
Electronic Journal of Differential Equations, 2002 In this paper, we introduce a new technique for studying solutions of bounded variation for some conservation laws of first order partial differential equations and for some degenerate parabolic equations in multi-dimensional space.
Francisco Caicedo +2 more
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Deterministic Transferable Planar Dielectric Mirrors for Investigating Strong Light–Matter Coupling
Advanced Optical Materials, EarlyView.Transferable dielectric distributed Bragg reflectors enable the deterministic assembly of high‐quality planar microcavities while maintaining the intrinsic properties of quantum materials during fabrication. The resulting structures exhibit robust exciton‐photon coupling in monolayer WS2${\rm WS}_{2}$ from cryogenic to room temperature, establishing a ...
Atanu Patra +4 more
wiley +1 more source
Existence of solutions for a degenerate seawater intrusion problem
Electronic Journal of Differential Equations, 2005 We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi +1 more
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Almost Periodicity and Degenerate Parabolic Equations
Rocky Mountain Journal of Mathematics, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
Advanced Science, EarlyView.The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
wiley +1 more source
Regularity of random attractors for stochastic semilinear degenerate parabolic equations
Electronic Journal of Differential Equations, 2012 We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh +2 more
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