Results 11 to 20 of about 54,046 (227)

Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena

Boletim da Sociedade Paranaense de Matemática, 2007
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)
Avalos, George, Triggiani, Roberto
  +8 more sources

Mathematical analysis of a PDE epidemiological model applied to scrapie transmission

Communications on Pure & Applied Analysis, 2008
El objetivo de este trabajo es analizar un modelo dinámico que describe la propagación de la tembladera en un rebaño de ovejas. La tembladera es una encefalopatía espongiforme transmisible, endémica en algunas regiones europeas y sujeta a estrictas medidas de control. El modelo tiene en cuenta varios factores y procesos, incluida la cría estacional, la
Najat Ziyadi, S. Boulite, M.L. Hbid, Suzanne Touzeau   +3 more
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Mathematical analysis of a nonlinear PDE model for European options with counterparty risk [PDF]

Comptes Rendus. Mathématique, 2019
Abstract In this work, we analyze a nonlinear partial differential equation (PDE) model for the total value adjustment on European options in the presence of a counterparty risk. We transform the nonlinear PDE into an equivalent one, involving a sectorial operator, and prove the existence and uniqueness of a solution.
Daniel Sevcovic, Carlos Vázquez, Beatriz Salvador, Iñigo Arregui   +3 more
openaire   +3 more sources

Mathematical modelling of chemical engineering systems by finite element analysis using PDE/PROTRAN

Computers & Mathematics with Applications, 1988
AbstractThe use of commercially available software for obtaining finite-element solutions to partial differential equations encountered in engineering and the applied sciences is considered. A particular software package called PDE/PROTRAN that can solve a general class of either time-dependent, steady-state, or eigenvalue type PDEs in two space ...
Patrick L. Mills, Patrick L. Mills, P.A. Ramachandran, P.A. Ramachandran   +3 more
  +6 more sources

Mathematical analysis and numerical methods for a PDE model of a stock loan pricing problem

Journal of Mathematical Analysis and Applications, 2013
In this paper the mathematical analysis of a model for pricing stock loan contracts, when the accumulative dividend yield associated to the stock is returned by the lender to the borrower on redemption, is carried out. More precisely, the model is formulated in terms of an obstacle problem associated to a Kolmogorov equation and the existence and ...
PASCUCCI, ANDREA, M. Suarez Taboada, C. Vazquez   +2 more
openaire   +4 more sources

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.
Sachin Shivakumar, Amritam Das, Matthew M. Peet, Seip Weiland   +3 more
openaire   +3 more sources

Mathematical and numerical analysis for PDE systems modeling intravascular drug release from arterial stents and transport in arterial tissue [PDF]

Mathematical Biosciences and Engineering
<abstract><p>This paper is concerned with the PDE (partial differential equation) and numerical analysis of a modified one-dimensional intravascular stent model. It is proved that the modified model has a unique weak solution by using the Galerkin method combined with a compactness argument. A semi-discrete finite-element method and a fully
Xiaobing Feng, Tingao Jiang
  +7 more sources

New investigation on soliton solutions of two nonlinear PDEs in mathematical physics with a dynamical property: Bifurcation analysis

Open Physics
Abstract To comprehend nonlinear dynamics, one must have access to soliton solutions, which faithfully portray the actions of numerous physical systems and nonlinear equations. Notable nonlinear equations in relativistic physics, quantum field theory, nonlinear optics, dispersive wave phenomena, contemporary industrial applications, and ...
Hossain Md Dulal, Boulaaras Salah Mahmoud, Saeed Abdulkafi Mohammed, Gissy Hussain, Hossain Md Nur, Mamun Miah Md   +5 more
openaire   +3 more sources

On mathematical analysis of a micro-scale Boltzmann-Maxwell’s PDEs model for a plasma flow influence by non-linear sinusoidal external electric field: Novel irreversibility analysis of plasma kinetic theory

Alexandria Engineering Journal
Unfortunately, the scientific research concerned with the micro-scale mathematical models in plasma has very few numbers compared with the other mathematical models. However, the microscopic fields are related to all modern technology like nano and micro technology, quantum computers, and many other essential applications.
Taha Zakaraia Abdel Wahid, Zaki Mrzog Alaofi, Taha Radwan   +2 more
openaire   +3 more sources

Editorial: Dynamical systems, PDEs and networks for biomedical applications: Mathematical modeling, analysis and simulations [PDF]

Frontiers in Physics, 2023
André H. Erhardt, Krasimira Tsaneva-Atanasova, Krasimira Tsaneva-Atanasova, Krasimira Tsaneva-Atanasova, Krasimira Tsaneva-Atanasova, Glenn Terje Lines, Erik Andreas Martens, Erik Andreas Martens   +7 more
openaire   +4 more sources