Results 31 to 40 of about 9,802,344 (402)
Mathematical Modelling and Analysis, 2022 A new variational approach for a boundary value problem in mathematical physics is proposed. By considering two-field Lagrange multipliers, we deliver a variational formulation consisting of a mixed variational problem which is equivalent with a saddle ...
Mariana Chivu Cojocaru, Andaluzia Matei
doaj +1 more source
Uniqueness of Weak Solutions to an Electrohydrodynamics Model [PDF]
Abstract and Applied Analysis, 2012 This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d = 2, 3). When d = 2, we prove a uniqueness without any condition on the velocity. For d = 3, we prove a weak‐strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.
Zhou, Yong, Fan, Jishan
openaire +4 more sources
Global weak solutions for some Oldroyd models [PDF]
, 2012 We investigate an evolutive system of non-linear partial differential equations derived from Oldroyd models on Non-Newtonian flows. We prove global existence of weak solutions, in the case of a smooth bounded domain, for general initial data. The results
Bjaoui, Olfa, Majdoub, Mohamed
core +2 more sources
Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing
Biomath, 2014 Solutions of a model reaction-diffusion system inspired by a model for hair follicle initiation in mice are constructed and analysed for the case of a one-dimensional domain.
Peter Rashkov
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Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness [PDF]
, 2020 In this paper, we investigate a model describing induction hardening of steel. The related system consists of an energy balance, an ODE for the different phases of steel, and Maxwell's equations in a potential formulation. The existence of weak entropy solutions is shown by a suitable regularization and discretization technique.
arxiv +1 more source
Local boundedness of weak solutions to elliptic equations with p,q−growth
Mathematics in Engineering, 2023 This article is dedicated to Giuseppe Mingione for his $ 50^{th} $ birthday, a leading expert in the regularity theory and in particular in the subject of this manuscript.
Giovanni Cupini +2 more
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Global solutions and decay of a nonlinear coupled system with thermo-elastic
Pesquimat, 2016 In this present work, the authors prove the existence of global solutions and the decay of nonlinear wave equation with thermo-elastic coupling give by the system of equation…..
Ricardo Fuentes Apolaya +1 more
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The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems
Advanced Nonlinear Studies, 2022 This paper is concerned with the n-dimensional strongly coupled parabolic systems with triangular form in the cylinder Ω×(0,T]\Omega \times (0,T]. We investigate L2{L}^{2} and Hölder regularity of the derivatives of weak solutions (u1,u2)\left({u}_{1},{u}
Tan Qi-Jian
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The weak solutions to complex Hessian equations [PDF]
arXiv, 2023 In this paper, we shall study existence of weak solutions to complex Hessian equations. With appropriate assumptions, it is possible to obtain weak solutions in pluripotential sense.
arxiv
On fractional and classical hyperbolic obstacle-type problems [PDF]
arXiv, 2023 We consider weak solutions for the obstacle-type viscoelastic ($\nu>0$) and very weak solutions for the obstacle inviscid ($\nu=0$) Dirichlet problems for the heterogeneous and anisotropic wave equation in a fractional framework based on the Riesz fractional gradient $D^s$ ($0
arxiv