Almost periodic generalized solutions of differential equations [PDF]
, 2021 summary:The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions.
Bouzar, Chikh, Ouikene, Fethia
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Approximate and generalized solutions of conformable type Coudrey–Dodd–Gibbon–Sawada–Kotera equation
International Journal of Modern Physics B, 2020 In this study, we consider conformable type Coudrey–Dodd–Gibbon–Sawada–Kotera (CDGSK) equation. Three powerful analytical methods are employed to obtain generalized solutions of the nonlinear equation of interest.
M. Şenol +3 more
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A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions [PDF]
Mathematical methods in the applied sciences, 2018 In bounded smooth domains Ω⊂RN , N ∈ {2,3}, we consider the Keller‐Segel‐Stokes system nt+u·∇n=Δn−χ∇·nc∇c,ct+u·∇c=Δc−c+n,ut=Δu+∇P+n∇ϕ,∇·u=0, and prove global existence of generalized solutions if ...
Tobias Black, J. Lankeit, M. Mizukami
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Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2017 We investigate the parabolic-elliptic Keller-Segel model \begin{document}$ \begin{align*} \left\{ \begin{array}{r@{\, }l@{\quad}l@{\quad}l@{\, }c} u_{t}& = \Delta u-\, \chi\nabla\!\cdot(\frac{u}{v}\nabla v), \ x'>in a bounded domain \begin{document ...
Tobias Black
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On the existence of generalized solutions to a spatio-temporal predator-prey system [PDF]
, 2022 In this paper we consider a pair of coupled non-linear partial differential equations describing the interaction of a predator-prey pair. We introduce a concept of generalized solutions and show the existence of such solutions in all space dimension with
Plato, Luisa +3 more
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3D simulation of laminated shell structures using the Proper Generalized Decomposition [PDF]
, 2014 Numerical simulations of composite structures are generally performed using multi-layered shell elements in the context of the finite elements method. This strategy has numerous advantages like a low computation time and the capability to reproduce the ...
PRULIERE, Etienne
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Hybrid systems with memory: Existence of generalized solutions and well-posedness [PDF]
SIAM Journal of Control and Optimization, 2015 Hybrid systems with memory refer to dynamical systems exhibiting both hybrid and delay phenomena. While systems of this type are frequently encountered in many physical and engineering systems, particularly in control applications, various issues ...
Jun Liu, A. Teel
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Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities [PDF]
SIAM Journal on Mathematical Analysis, 2015 The chemotaxis system $u_t=\Delta u - \nabla \cdot (uS(x,u,v)\cdot\nabla v);\ v_t=\Delta v - uf(v)$ (referred to as ($\star$) in this abstract), for the density $u=u(x,t)$ of a cell population and the concentration $v=v(x,t)$ of an attractive chemical ...
M. Winkler
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Propagation of Singularities for Generalized Solutions to Wave Equations with Discontinuous Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2015 This article addresses linear hyperbolic partial differential equations with nonsmooth coefficients and distributional data. Solutions are studied in the framework of Colombeau algebras of generalized functions. Its aim is to prove upper and lower bounds
H. Deguchi, M. Oberguggenberger
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Games and Economic Behavior, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abraham Diskin, Moshe Koppel, Dov Samet
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