Results 41 to 50 of about 171,729,354 (84)

Thermal and Bioconvective Modeling and Analysis of Unsteady Cu‐Water Nanofluid Flow through Porous Media with Gyrotactic Microorganisms

open access: yesEngineering Reports, Volume 8, Issue 9, September 2026.
The current study investigated unsteady boundary layer flow of a Cu/H2O$$ \mathrm{Cu}/{\mathrm{H}}_2\mathrm{O} $$ nanofluid over an expanding sheet embedded in a Darcy porous medium, containing gyrotactic microorganisms. The model includes heat source effects, unsteadiness, buoyancy, slip conditions, and nanoparticle radius.
Mazhar Hussain   +3 more
wiley   +1 more source

A Semi‐Discrete Lagrangian‐Eulerian Numerical Scheme for Diffusive‐Dispersive Conservation Laws With Discontinuous Coefficient

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu   +2 more
wiley   +1 more source

SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation [PDF]

open access: yes, 2012
Zhu R. SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation.
Zhu, Rongchan
core  

Asymptotic behavior of solutions of quasilinear differential-algebraic equations [PDF]

open access: yes, 2022
This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations (DAEs) under small nonlinear perturbations.
Linh Vu Hoang   +2 more
core  

Approximate Reachability for Feedback Linearizable Systems

open access: yesOptimal Control Applications and Methods, Volume 47, Issue 5, Page 1062-1082, September/October 2026.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu   +2 more
wiley   +1 more source

Continuation Methods for Higher‐Order Topology Optimization

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.
ABSTRACT We aim to solve a topology optimization problem where the distribution of material in the design domain is represented by a density function. To obtain candidates for local minima, we want to solve the first‐order optimality system via Newton's method.
Michael Winkler, Peter Gangl
wiley   +1 more source

Existence and sharp asymptotic behavior of positive decreasing solutions of a class [4pt] of differential systems with power-type nonlinearities [PDF]

open access: yes, 2014
summary:The system of nonlinear differential equations \begin{equation*} x^{\prime } + p_1(t)x^{\alpha _1} + q_1(t)y^{\beta _1} = 0\,, \qquad y^{\prime } + p_2(t)x^{\alpha _2} + q_2(t)y^{\beta _2} = 0\,, A \end{equation*} is under consideration, where ...
Jaroš, Jaroslav, Takaŝi, Kusano
core   +1 more source

KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study

open access: yesStudies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We discuss traveling fronts in several coupled reaction–diffusion systems that model predator–prey interactions, as well as other systems that share similar structural features. We review some cases where the traveling fronts exist and are small perturbations of fronts in certain scalar equations of Fisher–KPP or Burgers–FKPP type.
Anna Ghazaryan, Vahagn Manukian
wiley   +1 more source

Asymptotic behavior of weak solutions to non-convex conservation laws. [PDF]

open access: yes, 2005
Zhang Hedan.Thesis submitted in: September 2004.Thesis (M.Phil.)--Chinese University of Hong Kong, 2005.Includes bibliographical references (leaves 78-81).Chapter 1 --- Introduction --- p.5Chapter 2 --- Convex Scalar Conservation Laws --- p.9Chapter 2 ...

core  

Exponential convergence for ultrafast diffusion equations with log‐concave weights

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
wiley   +1 more source

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