Results 61 to 70 of about 10,897,203 (248)

Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions

open access: yesBoundary Value Problems, 2020
In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
doaj   +1 more source

Blow-up of solutions for schrödinger equation. [PDF]

open access: yes, 2017
Blow-up of Solutions for Schrödinger ...
Želvys, Ramūnas,
core  

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

open access: yesAdvanced 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

Blow-up of positive solutions of a semilinear parabolic equation with a gradient term

open access: yes, 2003
We study the blow-up behavior (in time and space) of positive solutions of a semilinear parabolic equation with a gradient term. Our main result is a sharp estimate for the spatial blow-up profile of radially decreasing solutions on a ball.
Marek Fila (16071293)   +2 more
core  

Blow up solutions for Sinh-Gordon equation with residual mass [PDF]

open access: yes, 2019
We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where both the positive and negative part of the solution blow up.
Jevnikar A.   +6 more
core   +1 more source

Atomic Defects in Layered Transition Metal Dichalcogenides for Sustainable Energy Storage and the Intelligent Trends in Data Analytics

open access: yesAdvanced Science, EarlyView.
This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo   +6 more
wiley   +1 more source

Strategy of Triple‐Gradient in Binary Pixels for Flexible Pressure Sensing with High Sensitivity and Wide‐Range Linearity

open access: yesAdvanced Science, EarlyView.
A flexible pressure sensor with triple‐gradient design of conductivity, modulus, and dimension in binary micro‐dome pixels is proposed. Based on precisely‐designed CNT/PDMS matrix, the device exhibits a linear sensitivity of 974.1 kPa−1 across range up to 1.8 MPa (R2 > 0.99), offering an effective strategy for potential applications in healthcare ...
Yifan Liu   +9 more
wiley   +1 more source

Blow-up rate estimates and blow-up set for a system of two heat equations with coupled nonlinear neumann boundary conditions

open access: yes, 2020
This paper deals with the blow-up properties of positive solutions to a parabolic system of two heat equations, defined on a ball in associated with coupled Neumann boundary conditions of exponential type.
Maan A Rasheed (16279517)   +1 more
core   +1 more source

A note on the development of singularities on solutions to the Navier-Stokes equations under supercritical forcing terms [PDF]

open access: yesOpuscula Mathematica
Recently, Qi S. Zhang provided examples of solutions to the Navier-Stokes equations which, under suitable hypotheses, blow-up in finite time. He considers axially symmetric solutions in a cylinder \(D\) under appropriate boundary conditions and under the
Hugo Beirão da Veiga, Jiaqi Yang
doaj   +1 more source

Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights

open access: yesAdvanced Nonlinear Studies, 2020
In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as a main ingredient for the search ...
García-Huidobro Marta   +2 more
doaj   +1 more source

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