A New Family of Ternary Intermetallic Compounds with Dualistic Atomic Ordering – The ZIP Phases
Advanced Materials, EarlyView.The ZIP phases are ternary intermetallic compounds with dualistic atomic ordering, i.e., they exhibit one face‐centered cubic (fcc; space group Fd3¯$\bar 3$m) variant and one hexagonal (space group P63/mmc) variant. The ZIP phases in the Nb‐Si‐Ni system are the Nb3SiNi2 (fcc) and Ni3SiNb2 (hexagonal) ternary IMCs, crystal structure schematics of which ...
Matheus A. Tunes +24 more
wiley +1 more source
Convergence analysis of option drift rate inverse problem based on degenerate parabolic equation
Results in Applied MathematicsIn this paper, we study the convergence of the inverse drift rate problem of option pricing based on degenerate parabolic equations, aiming to recover the stock price drift rate function by known option market prices.
Miao-miao Song +3 more
doaj +1 more source
Advances in Nonlinear Analysis, 2022 This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
doaj +1 more source
On the structure of entropy solutions to the Riemann problem for a degenerate nonlinear parabolic equation [PDF]
, 2023 Evgeny Yu. Panov
openalex +1 more source
Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity [PDF]
, 2012 We study a one-dimensional parabolic PDE with degenerate diffusion and non-Lipschitz nonlinearity involving the derivative. This evolution equation arises when searching radially symmetric solutions of a chemotaxis model of Patlak-Keller-Segel type.
Alexandre Montaru
semanticscholar +1 more source
Flatness for a strongly degenerate 1-D parabolic equation [PDF]
Math. Control. Signals Syst., 2015 We consider the degenerate equation $$\begin{aligned} \partial _t f(t,x) - \partial _x \left( x^{\alpha } \partial _x f \right) (t,x) =0, \end{aligned}$$∂tf(t,x)-∂xxα∂xf(t,x)=0,on the unit interval $$x\in (0,1)$$x∈(0,1), in the strongly degenerate case $$
Iván Moyano
semanticscholar +1 more source
On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation [PDF]
Discrete Dynamics in Nature and Society, 2009 By Oleinik′s line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0, T] × R2: ∂xxu + u∂yu − ∂tu = f(⋅, u), provided that T is suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in ...
Zongqi Liang, Huashui Zhan
openaire +3 more sources
THz‐Driven Coherent Phonon Fingerprints of Hidden Symmetry Breaking in 2D Layered Hybrid Perovskites
Advanced Materials, EarlyView.Intense THz pulses are employed to drive coherent phonons in 2D Ruddlesden‐Popper hybrid metal‐halide perovskites (HOIPs) from the (PEA)2(MA)n‐1PbnI3n+1 family, revealing mode‐selective spectroscopic signatures of inversion symmetry breaking in those nominally centrosymmetric materials. These findings provide a handle to decode nonlinear phonon driving
Joanna M. Urban +14 more
wiley +1 more source
Regularity of random attractors for stochastic semilinear degenerate parabolic equations
Electronic Journal of Differential Equations, 2012 We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh +2 more
doaj
Increasing powers in a degenerate parabolic logistic equation [PDF]
, 2012 The purpose of this paper is to study the asymptotic behavior of the positive solutions of the problem $$ \partial_t u-\Delta u=a u-b(x) u^p \text{in} \Omega\times \R^+, u(0)=u_0, u(t)|_{\partial \Omega}=0 $$ as $p\to +\infty$, where $\Omega$ is a ...
Hugo Tavares, Jose Francisco, Rodrigues
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