Results 51 to 60 of about 843 (137)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7609-7629, 15 May 2025.This contribution aims at studying a general class of random differential equations with Dirac‐delta impulse terms at a finite number of time instants. Our approach directly addresses calculating the so‐called first probability density function, from which all the relevant statistical information about the solution, a stochastic process, can be ...
Vicente J. Bevia +2 more
wiley +1 more source
A Theory of Generalized Coordinates for Stochastic Differential Equations
Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa +7 more
wiley +1 more source
Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This paper establishes the existence, uniqueness and time–space regularity of the weak solution to a nonlinear coupled parabolic system modeling temperature evolution in a coaxial heat exchanger with source terms and spatially varying coefficients. The system is formulated in a weak sense and the analysis relies on a Faedo–Galerkin method tailored to ...
Kouma Ali Ouattara +4 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper investigates linearization methods used in the development of an adaptive block hybrid method for solving first‐order initial value problems. The study focuses on Picard, linear partition, simple iteration, and quasi‐linearization methods, emphasizing their role in enhancing the performance of the adaptive block hybrid method. The efficiency
Salma Ahmedai +4 more
wiley +1 more source
, 2017 In this paper we address a particular fluid-solid interaction problem in which the solid object is lying at the bottom of a layer of fluid and moves under the forces created by waves travelling on the surface of this layer.
Benyo, Krisztian
core
Mathematical Modelling of Tumour Treatment With Chemotherapy
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this study, a cancer disease model incorporating dynamics between immune cells and tumour cells, as well as competition between tumour cells and normal cells, was formulated in an attempt to understand the interaction dynamics that govern the complex interplay within the tumour microenvironment.
F. S. Nyaweni, W. Mbava, Yeou Jiann Lim
wiley +1 more source
A Novel Mathematical Model for Hearing Disability: Dynamics, Equilibrium Analysis, and Stability
Journal of Mathematics, Volume 2025, Issue 1, 2025.Disability or impairment of any part of the human being is very painful, which not only affects physical shape, comfort, and normal routine but also affects financial situation of one being as well. The proper diagnosis and treatment of impairment prior to the damage of a certain body part are very crucial. This work introduces a new mathematical model
Ibrahim Al-Dayel +2 more
wiley +1 more source
Connecting Atomistic and Continuous Models of Elastodynamics
, 2016 We prove long-time existence of solutions for the equations of atomistic elastodynamics on a bounded domain with time-dependent boundary values as well as their convergence to a solution of continuum nonlinear elastodynamics as the interatomic distances ...
Braun, Julian
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A Refined Saddle Point Theorem and Applications [PDF]
, 2012 Under adequate conditions on $g$, we show the density in $L^2((0,\pi),(0,2\pi))$ of the set of functions $p$ for which \begin{equation*} u_{tt}(x,t)-u_{xx}(x,t)= g(u(x,t)) + p(x,t) \end{equation*} has a weak solution subject to \begin{equation*} \begin{
Enniss, Harris
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On a Counterexample in Connection with the Picard-Lindelöf Theorem
, 2021 Georgios Passias, Sven‐Ake Wegner
openalex +2 more sources