Results 11 to 20 of about 3,327 (129)

L2(Σ)-regularity of the boundary to boundary operator B∗L for hyperbolic and Petrowski PDEs

Abstract and Applied Analysis, 2003
This paper takes up and thoroughly analyzes a technical mathematical issue in PDE theory, while—as a by-pass product—making a larger case. The technical issue is the L2(Σ)-regularity of the boundary → boundary operator B∗L for (multidimensional ...
I. Lasiecka, R. Triggiani
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Geophysical Monge–Ampère-Type Equation: Symmetries and Exact Solutions

Mathematics
This paper studies a mixed PDE containing the second time derivative and a quadratic nonlinearity of the Monge–Ampère type in two spatial variables, which is encountered in geophysical fluid dynamics.
Andrei D. Polyanin, Alexander V. Aksenov
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On the formulation and investigation of a boundary value problem for a third-order equation of a parabolic-hyperbolic type

Қарағанды университетінің хабаршысы. Математика сериясы
In the paper a novel boundary value problem for a third-order partial differential equation (PDE) of a parabolic-hyperbolic type, within a pentagonal domain consisting of both parabolic and hyperbolic regions was investigated. Such equations are pivotal
М. Мамажанов, К. Рахимов, Х. Шерматова   +2 more
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Maximal mixed parabolic-hyperbolic regularity for the full equations of multicomponent fluid dynamics [PDF]

, 2021
We consider a Navier--Stokes--Fick--Onsager--Fourier system of PDEs describing mass, energy and momentum balance in a Newtonian fluid with composite molecular structure.
Druet, Pierre-Étienne
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Partial differential equations of mixed type—analysis and applications

, 2023
Partial differential equations (PDEs) are at the heart of many mathematical and scientific advances. While great progress has been made on the theory of PDEs of standard types during the last eight decades, the analysis of nonlinear PDEs of mixed type is
Chen, Gui-Qiang G
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]

, 2012
We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin, Sun, Yuhua, Kenneth J. Falconer, Falconer, Kenneth John, Jiaxin Hu, Yuhua Sun   +5 more
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Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements [PDF]

, 2022
An error analysis of a mixed discontinuous Galerkin (DG) method with lifting operators as numerical fluxes for the time-harmonic Maxwell equations with minimal smoothness requirements is presented.
Matthias Schlottbom, Gallistl, Dietmar, van der Vegt, Jaap J.W., Kaifang Liu, van der Vegt, Jaap J.W.; id_orcid, J J W van der Vegt, Dietmar Gallistl, Schlottbom, Matthias, Schlottbom, Matthias; id_orcid, Liu, Kaifang   +9 more
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Numerical Simulation of Mixed Convection Squeezing Flow of a Hybrid Nanofluid Containing Magnetized Ferroparticles in 50%:50% of Ethylene Glycol–Water Mixture Base Fluids Between Two Disks With the Presence of a Non-linear Thermal Radiation Heat Flux

Frontiers in Chemistry, 2020
Ferroliquids are an example of a colloidal suspension of magnetic nanomaterials and regular liquids. These fluids have numerous applications in medical science such as cell separation, targeting of drugs, magnetic resonance imaging, etc.
Kottakkaran Sooppy Nisar, Umair Khan, A. Zaib, A. Zaib, Ilyas Khan, Dumitru Baleanu, Dumitru Baleanu, Dumitru Baleanu   +7 more
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Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs [PDF]

, 2018
The study in this PhD thesis aims at development of certain mathematical methods used in applications, in particular, in the study of regularity properties of solutions in various mathematical models described by Partial Differential Equations (PDEs ...
Lundberg, Staffan
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Efficient approximation of random fields for numerical applications [PDF]

, 2014
This article is dedicated to the rapid computation of separable expansions for the approximation of random fields. We consider approaches based on techniques from the approximation of non-local operators on the one hand and based on the pivoted Cholesky ...
Michael Peters, Markus Siebenmorgen, Peters, Michael, Helmut Harbrecht, Siebenmorgen, Markus, Harbrecht, Helmut   +5 more
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