Results 91 to 100 of about 30,499 (304)
Parabolic equations relative to vector fields
Electronic Journal of Differential Equations, 2008 We define two notions of viscosity solutions to parabolic equations defined using vector fields, depending on whether the test functions concern only the past or both the past and the future. Using the parabolic maximum principle for vector fields, we
Thomas Bieske
doaj
Boundary Value Problems, 2018 This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
doaj +1 more source
Nonexistence results for ultra-parabolic equations and systems involving fractional Laplacian operator in Heisenberg group. [PDF]
Heliyon, 2022 Tsegaw BB.
europepmc +1 more source
Digital Twin of a One‐Sun‐Driven Luminescent‐Concentrator‐Assisted Planar Solar‐Pumped Fiber Laser
Advanced Optical Materials, EarlyView.An experimentally‐validated digital twin of a one‐sun solar‐pumped fiber laser enables a design exhibit 13‐times higher output power at 1064 nm to be achieved. Despite its simple appearance, the multitude of choices in the design parameters make finding this improved very tedious in the lab, thus the digital twin can save significant time and effort ...
Anvarjon Sherniyozov +2 more
wiley +1 more source
An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations. [PDF]
Entropy (Basel), 2021 Agarwal RP +4 more
europepmc +1 more source
Linear-implicit strong schemes for Itô-Galkerin approximations of stochastic PDEs [PDF]
, 2010 Linear-implicit versions of strong Taylor numerical schemes for finite dimensional Itô stochastic differential equations (SDEs) are shown to have the same order as the original scheme.
Shott, Stephen, Kloeden, Peter E.
core +1 more source
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
Advanced Science, EarlyView.This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 more
wiley +1 more source
A cell complex structure for the space of heteroclines for a semilinear parabolic equation
Electronic Journal of Differential Equations, 2009 It is well known that for many semilinear parabolic equations there is a global attractor which has a cell complex structure with finite dimensional cells.
Michael Robinson
doaj
Waiting time phenomena for degenerate parabolic equations - A unifying approach [PDF]
, 2003 We present a new approach to establish the occurrence of waiting time phenomena for solutions to degenerate parabolic equations. Originally developed by the authors for the thin film equation, it may in fact be used for a broad class of degenerate ...
Günther Grün +5 more
core +1 more source