Mathematical analysis of nonlocal PDEs for network generation [PDF]
Mathematical Modelling of Natural Phenomena, 2019 In this paper, we study a certain class of nonlocal partial differential equations (PDEs). The equations arise from a key problem in network science, i.e., network generation from local interaction rules, which result in a change of the degree distribution as time progresses.
Tobias Böhle, Christian Kuehn
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Symmetry Analysis of an Interest Rate Derivatives PDE Model in Financial Mathematics [PDF]
Symmetry, 2019 We perform Lie symmetry analysis to a zero-coupon bond pricing equation whose price evolution is described in terms of a partial differential equation (PDE). As a result, using the computer software package SYM, run in conjunction with Mathematica, a new family of Lie symmetry group and generators of the aforementioned pricing equation are derived.
Bosiu C. Kaibe, John G. O’Hara
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Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena
Boletim da Sociedade Paranaense de Matemática, 2009 In this paper, we review and comment upon recently derived results for time dependent partial differential equation (PDE) models, which have been used to describe the various fluid-structure interactions which occur in nature. For these fluid-structure PDEs, this survey is particularly focused on the authors' results of (i) semigroup wellposedness, (ii)
George Avalos, Roberto Triggiani
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On the Mathematical Analysis and Numerical Approximation of a System of Nonlinear Parabolic PDEs
Zeitschrift für Analysis und ihre Anwendungen, 2009 In this paper we consider a boundary value problem for a system of 2 nonlinear parabolic PDEs e.g. arising in the context of flow and transport in porous media. The flow model is based on tho nonlinear Richard’s equation problem and is combined with the transport equation through saturation and Darcy’s velocity (discharge) terms. The convective terms are
Jozef Kačur +2 more
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Discussion Paper: A New Mathematical Framework for Representation and Analysis of Coupled PDEs
IFAC-PapersOnLine, 2019 We present a computational framework for stability analysis of systems of coupled linear Partial-Differential Equations (PDEs). The class of PDE systems considered in this paper includes parabolic, elliptic and hyperbolic systems with Dirichlet, Neuman and mixed boundary conditions.
Matthew M. Peet +3 more
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Editorial: Dynamical systems, PDEs and networks for biomedical applications: Mathematical modeling, analysis and simulations [PDF]
, 2023 André H. Erhardt +3 more
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Mathematical and numerical analysis for PDE systems modeling intravascular drug release from arterial stents and transport in arterial tissue [PDF]
Xiaobing Feng, Tingao Jiang
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Introducing the Workshop on Variational Analysis, PDEs and Mathematical Economics
, 2020 Maria Bernadette Donato, Monica Milasi
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Quantization, PDEs, and Geometry : The Interplay of Analysis and Mathematical Physics
, 2016 Dorothea Bahns, Wolfram Bauer, Ingo Witt
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Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena
, 2007 George Avalos, Roberto Triggiani
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