Results 31 to 40 of about 88,173 (262)

Time dependent hydraulic falls and trapped waves over submerged obstructions [PDF]

, 2014
We consider the classical problem of a free surface flowing past one or more disturbances in a channel. The fluid is assumed to be inviscid and incompressible, and the flow, irrotational.
Page, Charlotte, Parau, Emilian
core   +1 more source

Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family

Fractal and Fractional, 2023
Fractional integrodifferential diffusion equations play a significant role in describing anomalous diffusion phenomena. In this paper, we study the existence and uniqueness of mild solutions to these equations.
Jia Mu, Zhiyuan Yuan, Yong Zhou
doaj   +1 more source

Cauchy integrals for the p-Laplace equation in planar Lipschitz domains

, 2014
We construct solutions to p-Laplace type equations in unbounded Lipschitz domains in the plane with prescribed boundary data in appropriate fractional Sobolev spaces.
Nyström, Kaj, Rosén, Andreas
core   +1 more source

Boundary Value Problems for the Perturbed Dirac Equation

Axioms
The perturbed Dirac operators yield a factorization for the well-known Helmholtz equation. In this paper, using the fundamental solution for the perturbed Dirac operator, we define Cauchy-type integral operators (singular integral operators with a Cauchy
Hongfen Yuan, Guohong Shi, Xiushen Hu
doaj   +1 more source

On the Preservation with Respect to Nonlinear Perturbations of the Stability Property for Nonautonomous Linear Neutral Fractional Systems with Distributed Delays

Mathematics, 2022
In the present paper, sufficient conditions are obtained under which the Cauchy problem for a nonlinearly perturbed nonautonomous neutral fractional system with distributed delays and Caputo type derivatives has a unique solution in the case of initial ...
Ekaterina Madamlieva, Hristo Kiskinov, Milena Petkova, Andrey Zahariev   +3 more
doaj   +1 more source

The third Cauchy-Fantappie formula of Leray

, 2002
We study the third Cauchy-Fantappie formula, an integral representation formula for holomorphic functions on a domain in affine space, presented by Jean Leray in the third paper of his famous series "Probleme de Cauchy", published in 1959.
Joita, Cezar, Larusson, Finnur
core   +1 more source

Mixed‐Metal Promotion in a Manganese‐Molybdenum Oxynitride as Catalyst to Integrate C─C and C─N Coupling Reactions for the Direct Synthesis of Acetonitrile from Syngas and Ammonia

Advanced Materials, EarlyView.
Transition metal oxy/carbo‐nitrides show great promise as catalysts for sustainable processes. A Mn‐Mo mixed‐metal oxynitride attains remarkable performance for the direct synthesis of acetonitrile, an important commodity chemical, via sequential C─N and C─C coupling from syngas (C1) and ammonia (N1) feedstocks.
M. Elena Martínez‐Monje, Wilson Henao, Tania Rodenas, Patricia Concepción, Virginia Pérez Dieste, Alexander Missyul, Giovanni Agostini, Gonzalo Prieto   +7 more
wiley   +1 more source

Adaptive Twisting Metamaterials

Advanced Materials, EarlyView.
This work introduces torque‐controlled twisting metamaterials as a transformative platform for adaptive crashworthiness. By combining multiscale predictive modeling with experimental validation on additively manufactured gyroids, it demonstrates tunable stiffness, collapse stress, and energy absorption.
Mattia Utzeri, Maria L. Gatto, Edoardo Mancini, Donato Orlandi, Daniele Cortis, Marco Sasso, Shanmugam Kumar   +6 more
wiley   +1 more source

On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc

European Journal of Mathematical Analysis
In this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an ...
Ali Darya, Nasir Tagizadeh
doaj   +1 more source

Inverse Problem for a Partial Differential Equation with Gerasimov–Caputo-Type Operator and Degeneration

Fractal and Fractional, 2021
In the three-dimensional open rectangular domain, the problem of the identification of the redefinition function for a partial differential equation with Gerasimov–Caputo-type fractional operator, degeneration, and integral form condition is considered ...
Tursun K. Yuldashev, Bakhtiyar J. Kadirkulov   +1 more
doaj   +1 more source