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
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
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SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation [PDF]
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
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Asymptotic behavior of solutions of quasilinear differential-algebraic equations [PDF]
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
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Approximate Reachability for Feedback Linearizable Systems
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
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Continuation Methods for Higher‐Order Topology Optimization
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
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Existence and sharp asymptotic behavior of positive decreasing solutions of a class [4pt] of differential systems with power-type nonlinearities [PDF]
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
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KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study
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
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Asymptotic behavior of weak solutions to non-convex conservation laws. [PDF]
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 ...
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Exponential convergence for ultrafast diffusion equations with log‐concave weights
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
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