Results 1 to 10 of about 51,103 (185)
Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear PDEs [PDF]
Entropy, 2019 Fokker–Planck PDEs (including diffusions) for stable Lévy processes (including Wiener processes) on the joint space of positions and orientations play a major role in mechanics, robotics, image analysis, directional statistics and probability theory.
Remco Duits +2 more
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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 +3 more
doaj +1 more source
Fractal and Fractional, 2021 Fractional-order mathematical modelling of physical phenomena is a hot topic among various researchers due to its many advantages over positive integer mathematical modelling.
Arfan Ali +3 more
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On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs
Applied General Topology, 2021 The aim of this work is two fold: first we extend some results concerning the computation of the fixed point index for the sum of an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to the case of the sum $T+F ...
Svetlin Georgiev Georgiev +1 more
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A Reliable Computational Scheme for Stochastic Reaction–Diffusion Nonlinear Chemical Model
Axioms, 2023 The main aim of this contribution is to construct a numerical scheme for solving stochastic time-dependent partial differential equations (PDEs). This has the advantage of solving problems with positive solutions.
Muhammad Shoaib Arif +2 more
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Fractal and Fractional, 2022 In this paper, we propose a modified fractional diffusive SEAIR epidemic model with a nonlinear incidence rate. A constructed model of fractional partial differential equations (PDEs) is more general than the corresponding model of fractional ordinary ...
Yasir Nawaz +2 more
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Heliyon, 2020 A mathematical analysis is performed to study the flow and heat transfer phenomena of Casson based nanofluid with effects of the porosity parameter and viscous dissipation over the exponentially permeable stretching and shrinking surface.
Sumera Dero +2 more
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Minimal positive solutions for systems of semilinear elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to a system of nonlinear PDEs containing gradient terms. Applying the approach based on Sattinger's iteration procedure we use sub and supersolutions methods to prove the existence of positive solutions with minimal growth.
Aleksandra Orpel
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Solvable Nonlinear Evolution PDEs in Multidimensional Space [PDF]
, 2006 A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schr\"odinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type.
Calogero, Francesco, Sommacal, Matteo
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Loss of regularity for Kolmogorov equations [PDF]
, 2015 The celebrated H\"{o}rmander condition is a sufficient (and nearly necessary) condition for a second-order linear Kolmogorov partial differential equation (PDE) with smooth coefficients to be hypoelliptic.
Hairer, Martin +2 more
core +3 more sources