Results 61 to 70 of about 102,040 (246)

Doubly Nonlinear Parabolic Equation with Nonlinear Boundary Conditions

Journal of Mathematical Analysis and Applications, 2001
A necessary and sufficient condition for global existence of all positive classical solutions is given. The proof relies on the construction of suitable upper and lower solutions.
Wang, Shu, Deng, Jucheng, Shi, Jine
openaire   +2 more sources

Trapped Fluorine Enables Thermally Stable Broadband Photodetection in Graphene/Fluorinated Graphene Heterostructure

Advanced Materials Technologies, EarlyView.
Fluorinated graphene has opened new opportunities for real‐world applications; however, its working and thermal stability are key issues for practical use. This study successfully demonstrates the stability of a fluorinated graphene‐based photodetector, achieved through a graphene, fluorinated graphene heterostructure (Gr/F‐Gr HS).
Mukesh Kumar Thakur, Javier Varillas, Oleksandr Volochanskyi, Golam Haider, Jan Plšek, Farjana J. Sonia, Álvaro Rodríguez, Jaganandha Panda, Martin Mergl, Otakar Frank, Jana Vejpravová, Martin Kalbáč   +11 more
wiley   +1 more source

Optimal control problem for systems governed by nonlinear parabolic equations without initial conditions

Karpatsʹkì Matematičnì Publìkacìï, 2016
An optimal control problem for systems described by Fourier problem for nonlinear parabolic equations is studied. Control functions occur in the coefficients of the state equations. The existence of the optimal control in the case of final observation is
M.M. Bokalo, A.M. Tsebenko
doaj   +1 more source

Self‐Assembly of a Tripodal Terpyridine Based Ligand with Luminescent Lanthanide Ions in Solution and Soft Material

Advanced Optical Materials, Volume 13, Issue 8, March 13, 2025.
The tripodal terpyridine‐1,3,5‐benzene tricarboxamide (BTA) ligand 1 is employed in the self‐assembly formation of novel luminescent materials using a range of lanthanide ions. In the polar protic solution, the results from the photophysical measurements are assessed using nonlinear regression analysis, while the functional material properties of the ...
Jason M. Delente, Oxana Kotova, Niamh Willis‐Fox, John E. O'Brien, Brendan Twamley, Ronan Daly, Thorfinnur Gunnlaugsson   +6 more
wiley   +1 more source

The Maximal Regularity of Nonlocal Parabolic Monge–Ampère Equations and Its Monotonicity in the Whole Space

Axioms
The Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
doaj   +1 more source

A weak Galerkin method for nonlinear stochastic parabolic partial differential equations with additive noise

Electronic Research Archive, 2022
In this paper, a weak Galerkin (WG for short) finite element method is used to approximate nonlinear stochastic parabolic partial differential equations with spatiotemporal additive noises. We set up a semi-discrete WG scheme for the stochastic equations,
Hongze Zhu, Chenguang Zhou, Nana Sun
doaj   +1 more source

Selective Crystal Growth and Optical Responses of 2H and 3R Polytypes in van der Waals Polar Insulator α‐In2Se3

Advanced Optical Materials, EarlyView.
Selective growth protocols are established to obtain high‐quality bulk single crystals of the 2H and 3R polytypes of the vdW polar insulator α‐In2Se3, together with rapid, non‐destructive phase‐identification methods. Combined optical transmission and absolute reflectivity measurements, supported by DFT calculations, reveal distinct polytype‐dependent ...
Ryoga Murata, Takao Sasagawa
wiley   +1 more source

Cauchy problem for some fractional nonlinear ultra-parabolic equations

Electronic Journal of Differential Equations, 2016
Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra ...
Fatma Al-Musalhi, Sebti Kerbal
doaj  

Renormalizing Partial Differential Equations

, 1994
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations.
A. Bressan, A. Gmira, A. Soffer, B. Simon, B.J. Lemesurier, D.G. Aronson, D.H. Sattinger, G.I. Barenblatt, H. Brezis, H. Fujita, H.A. Levine, J-P. Eckmann, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Glimm, J. Miller, J.L.L. Velazquez, J.P. Eckmann, J.W. Cahn, K. Kirchgässner, L-Y. Chen, L.A. Bunimovich, M. Berger, M. Bramson, M. Cross, M. Escobedo, M. Escobedo, M.A. Herrero, M.A. Herrero, M.A. Herrero, N. Goldenfeld, N. Goldenfeld, N. Goldenfeld, P. Collet, P. Collet, P. Collet, R. Pego, S. Filippas, S. Filippas, S. Kamin, S. Kamin, S. Kamin, T. Gallay, T. Gallay, V.A. Galaktionov, Y. Giga, Y. Giga, Y. Giga   +52 more
core   +2 more sources

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, Priyanka Kumari, Sathyanarayana Paladugu, Damian Pociecha, Jakub Karcz, Przemysław Kula, Nataša Vaupotič, Ewa Górecka, Oleg D Lavrentovich   +8 more
wiley   +1 more source