Results 1 to 10 of about 2,559 (253)

On the growth of positive entire solutions of elliptic PDEs and their gradients

Discrete and Continuous Dynamical Systems - Series S, 2014
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Antonio Vitolo
exaly   +6 more sources

A fast quantum algorithm for solving partial differential equations [PDF]

Scientific Reports
The numerical solution of partial differential equations (PDEs) is essential in computational physics. Over the past few decades, various quantum-based methods have been developed to formulate and solve PDEs.
Azim Farghadan, Mohammad Mahdi Masteri Farahani, Mohsen Akbari   +2 more
doaj   +4 more sources

Transcendental entire solutions of several complex product-type nonlinear partial differential equations in ℂ2

Open Mathematics, 2023
Our purpose in this article is to describe the solutions of several product-type nonlinear partial differential equations (PDEs) (a1u+b1uz1+c1uz2)(a2u+b2uz1+c2uz2)=1,\left({a}_{1}u+{b}_{1}{u}_{{z}_{1}}+{c}_{1}{u}_{{z}_{2}})\left({a}_{2}u+{b}_{2}{u}_{{z}_{
Xu Yi Hui, Li Yan Fang, Liu Xiao Lan, Xu Hong Yan   +3 more
doaj   +3 more sources

Real eternal PDE solutions are not complex entire: a quadratic parabolic example

Journal of Elliptic and Parabolic Equations
Abstract In parabolic or hyperbolic PDEs, solutions which remain uniformly bounded for all real times $$t=r\in \mathbb {R}$$ t =
Bernold Fiedler, Hannes Stuke
semanticscholar   +4 more sources

Meromorphic solutions of generalized inviscid Burgers’ equations and related PDES [PDF]

Comptes Rendus. Mathématique, 2021
The purposes of this paper are twofold. The first one is to describe entire solutions of certain type of PDEs in $\mathbb{C}^n$ with the modified KdV-Burgers equation and modified Zakharov-Kuznetsov equation as the prototypes.
Lü, Feng
doaj   +2 more sources

Exact solutions of linear reaction-diffusion processes on a uniformly growing domain: criteria for successful colonization. [PDF]

PLoS ONE, 2015
Many processes during embryonic development involve transport and reaction of molecules, or transport and proliferation of cells, within growing tissues.
Matthew J Simpson
doaj   +2 more sources

Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]

Sci Rep
Physics-informed neural networks have proven to be a powerful approach for addressing both forward and inverse problems by integrating the governing equations’ residuals and data constraints within the loss function.
Long J, Khaliq A, Furati KM.
europepmc   +2 more sources

The description of entire solutions of complex PDEs and PDDEs

Demonstratio Mathematica
Abstract By utilizing the Hadamard factorization theory and Nevanlinna theory of meromorphic functions in C
Zhao Jun Wu, Hong Yan Xu, Zu Xing Xuan
openaire   +2 more sources

Determinism, well-posedness, and applications of the ultrahyperbolic wave equation in spacekime

Partial Differential Equations in Applied Mathematics, 2022
Spatiotemporal dynamics of many natural processes, such as elasticity, heat propagation, sound waves, and fluid flows are often modeled using partial differential equations (PDEs).
Yuxin Wang, Yueyang Shen, Daxuan Deng, Ivo D. Dinov   +3 more
doaj   +1 more source

Variational iteration method along with intelligent computing system for the radiated flow of electrically conductive viscous fluid through porous medium

Heliyon, 2023
This article aims to investigate the analytical nature and approximate solution of the radiated flow of electrically conductive viscous fluid into a porous medium with slip effects (RFECVF).
Muhammad Shoaib, Farooq Ahmed Shah, Kottakkaran Sooppy Nisar, Muhammad Asif Zahoor Raja, Ehsan ul Haq, Aqsa Zafar Abbasi, Qazi Mahmood Ul Hassan, Nuha Al-Harbi, Abdel-Haleem Abdel-Aty   +8 more
doaj   +1 more source