Results 101 to 110 of about 1,364,858 (220)

Non-Local Problems for the Fractional Order Diffusion Equation and the Degenerate Hyperbolic Equation

Fractal and Fractional
This research explores nonlocal problems associated with fractional diffusion equations and degenerate hyperbolic equations featuring singular coefficients in their lower-order terms.
Menglibay Ruziev, Roman Parovik, Rakhimjon Zunnunov, Nargiza Yuldasheva   +3 more
doaj   +1 more source

Carrier Mobility Enhancement in Two‐Dimensional Semiconductor

Interdisciplinary Materials, Volume 5, Issue 5, Page 796-833, September 2026.
In this review, we comprehensively describe recent progress in carrier mobility enhancement strategies for 2D semiconductor‐based field‐effect transistors considering the role of intrinsic defects, electrode contact interfaces, dielectric engineering, and lattice strain engineering.
Huchanghui Zuo, Yuehao Li, Xiangkai Liu, Chao Tan, Guohua Hu, Mingdong Dong, Zegao Wang   +6 more
wiley   +1 more source

Density estimates on a parabolic spde [PDF]

, 2002
We consider a general class of parabolic spde's [formula] with (t, x) [member of] [0, T]×[0, 1] and [epsilon]Wt,x, [epsilon] > 0, a perturbed Gaussian space-time white noise.
Márquez-Carreras, D., Mellouk, M., M. Mellouk, Márquez, David (Márquez Carreras), D. Márquez-Carreras   +4 more
core   +1 more source

Numerical differentiation of fractional order derivatives based on inverse source problems of hyperbolic equations

Mathematical Modelling and Analysis
In this paper, we mainly study the numerical differentiation problem of computing the fractional order derivatives from noise data of a single variable function.
Zewen Wang, Shufang Qiu, Xiuxing Rui, Wen Zhang   +3 more
doaj   +1 more source

A Semi‐Discrete Lagrangian‐Eulerian Numerical Scheme for Diffusive‐Dispersive Conservation Laws With Discontinuous Coefficient

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu, Wanderson Lambert, Erivaldo Lima   +2 more
wiley   +1 more source

Boundary problems for mixed parabolic-hyperbolic equations with two lines of changing type and fractional derivative

Electronic Journal of Differential Equations, 2014
In this article, we study a boundary value problem for a parabolic-hyperbolic equation with Caputo fractional derivative. Under certain conditions, we prove its unique solvability using methods of integral equations and Green's functions.
Bakhtiyor Kadirkulov
doaj  

Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley   +1 more source

Wave Propagation in 3‐D Poroelastic Media Accounting for Both Mesoscopic and Global Flow Effects

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 9, September 2026.
Abstract Biot's theory of poroelasticity is widely recognized as a fundamental framework for describing wave‐induced fluid flow in mesoscopic heterogeneous porous media. However, dynamic numerical modeling of velocity dispersion and attenuation in heterogeneous porous media remains challenging due to (a) the stiffness of Biot's equations and (b) the ...
Zhiyu Hou, Yury Alkhimenkov, Beatriz Quintal   +2 more
wiley   +1 more source

Implications of Thermal Weakening and Magma Compressibility for Volcano Monitoring

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 9, September 2026.
Abstract Magmatic intrusion and volcanic deformation are traditionally approximated with an inflating cavity in an elastic halfspace. Various analytical models predict surface displacement as a function of pressure or volume change, depth, and elastic crustal properties.
A. Spang, A. Piccolo, M. Gerbault, B. J. P. Kaus, M. Thielmann   +4 more
wiley   +1 more source

KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We discuss traveling fronts in several coupled reaction–diffusion systems that model predator–prey interactions, as well as other systems that share similar structural features. We review some cases where the traveling fronts exist and are small perturbations of fronts in certain scalar equations of Fisher–KPP or Burgers–FKPP type.
Anna Ghazaryan, Vahagn Manukian
wiley   +1 more source