Results 21 to 30 of about 15,169 (314)

Cauchy problem for a parabolic equation with Bessel operator and Riemann-Liouville partial derivative

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In this paper Cauchy problem for a parabolic equation with Bessel operator and with Riemann-Liouville partial derivative is considered. The representation of the solution is obtained in terms of integral transform with Wright function in the kernel.
Fatima G Khushtova
doaj   +1 more source

A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain

Boundary Value Problems, 2023
The Cauchy problem of the Laplace equation is investigated for both exact and perturbed data on a doubly connected domain, i.e., the numerical reconstruction of the function value and the normal derivative value on a part of the boundary from the ...
Xingtian Gong, Shuwei Yang
doaj   +1 more source

Hybrid Auxetic Architectures: Integrating Curvature‐Driven Design for Enhanced Mechanical Tunability and Structural Performance

Advanced Engineering Materials, EarlyView.
Curvature‐tuned auxetic lattices are designed, fabricated, and mechanically characterized to reveal how geometric curvature governs stretchability, stress redistribution, and Poisson's ratio evolution. Photoelastic experiments visualize stress pathways, while hyperelastic simulations quantify deformation mechanics.
Shuvodeep De, Giovanni Meli, Meysam Khalighian, Anahita Emami   +3 more
wiley   +1 more source

The general solution of the non-homogeneous Euler–Cauchy operator-differential equation with Neumann boundary conditions using the Laplace transform

Partial Differential Equations in Applied Mathematics
Many researchers are interested in topics related to solutions of differential equations with variable coefficients. Here for the first time, we study the nonhomogeneous second-order Euler–Cauchy operator-differential equation.
Abdel Baset I. Ahmed, Mohamed A. Labeeb
doaj   +1 more source

The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain

Electronic Research Archive, 2023
This paper considers blow-up and global existence for a semilinear space-time fractional pseudo-parabolic equation with nonlinear memory in a bounded domain.
Yaning Li , Yuting Yang
doaj   +1 more source

Ferrocene Derivatives Enable Ultrasensitive Perovskite Photodetectors with Enhanced Reverse Bias Stability

Advanced Functional Materials, EarlyView.
Novel ferrocene derivatives (e.g., FcPhc2) are used as an ultrathin layer hole‐blocking layer, reducing hole injection from the Ag contact. This results in an ultralow noise spectral density of 1.2 × 10−14 A Hz−1/2, and a high specific detectivity of 8.1 × 1012 Jones at −0.5 V.
Eunyoung Hong, William D. J. Tremlett, Lucy Hart, Beier Hu, Zhuoran Qiao, Patipan Sukpoonprom, Sarah Fearn, Edoardo Angela, Matilde Brunetta, Demosthenes C. Koutsogeorgis, Nikolaos Kalfagiannis, Davide Nodari, Martyn A. McLachlan, Piers R. F. Barnes, Artem A. Bakulin, Nicholas J. Long, Nicola Gasparini   +16 more
wiley   +1 more source

On the uniqueness of the solution of the Cauchy problem for the equation of fractional diffusion with Bessel operator

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
In this paper, we consider fractional diffusion equation involving the Bessel operator acting with respect to a spatial variable and the Riemann-Liouville fractional differentiation operator acting with respect to a time variable.
Fatima G Khushtova
doaj   +1 more source

Self‐Trapped Hole Migration and Defect‐Mediated Thermal Quenching of Luminescence in α‐ and β‐Ga2O3

Advanced Functional Materials, EarlyView.
Temperature‐dependent photoluminescence and first‐principles calculations reveal self‐trapped hole migration as the microscopic origin of thermal quenching in α‐ and β‐Ga2O3. The low migration barrier in α‐Ga2O3 enables defect trapping and enhances blue luminescence, while the higher barrier in β‐Ga2O3 preserves ultraviolet emission at elevated ...
Nima Hajizadeh, Ymir K. Frodason, Clemens Petersen, Benjamin M. Janzen, Luca Sung‐Min Choi, Nils Bernhardt, Felix Nippert, Zbigniew Galazka, Joel B. Varley, Holger von Wenckstern, Lasse Vines, Markus R. Wagner   +11 more
wiley   +1 more source

N Wave and Periodic Wave Solutions for Burgers Equations

International Journal of Analysis and Applications, 2020
This article concerns the initial boundary value problem for the non linear dissipative Burgers equation. Our general purpose is to describe the asymptotic behavior of the solution in the Cauchy problem with a small parameter ε for this equation and to ...
Zahia Nouri, Saida Bendaas, Houssem Eddine Kadem   +2 more
doaj  

Cauchy problem for a linear hyperbolic equation of the second order

Mathematical Modelling and Analysis, 2006
The definition of hyperbolic equation by a prescribed vector field is introduced for linear differential equation of the second order. The Cauchy problem with prescribed boundary conditions is considered for such equations.
V. I. Korzyuk, E.S. Cheb
doaj   +1 more source