Results 31 to 40 of about 2,506,197 (280)
Global Low-Energy Weak Solutions of a Fluid–Particle Interaction Model with Vacuum in ℝ3
AxiomsProvided that the initial data (ρ0,v0,η0) is of small energy around steady state (ρ▵,0,0), in this work we obtain the global-in-time existence of weak solutions to a fluid particle interaction system.
Bingyuan Huang +3 more
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A semigroups theory approach to a model of suspension bridges
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper we study the existence and uniqueness of the weak solution of a mathematical model that describes the nonlinear oscillations of a suspension bridge. This model is given by a system of partial differential equations with damping terms.
Rodiak Figueroa-López +1 more
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On the spatial asymptotic decay of a suitable weak solution to the Navier-Stokes Cauchy problem
, 2015 We prove space-time decay estimates of suitable weak solutions to the Navier-Stokes Cauchy problem, corresponding to a given asymptotic behavior of the initial data of the same order of decay. We use two main tools.
Crispo, Francesca, Maremonti, Paolo
core +1 more source
Journal of Optimization, Differential Equations and Their ApplicationsIn this paper we establish uniqueness of the weak solutions of nonlinear stochastic functional differential equations of neutral type in Hilbert spaces.
Z. P. Khaletska +3 more
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A Weak Solution of a Stochastic Nonlinear Problem
Abstract and Applied Analysis, 2015 We consider a problem modeling a porous medium with a random perturbation. This model occurs in many applications such as biology, medical sciences, oil exploitation, and chemical engineering.
M. L. Hadji
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Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation
, 2007 We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\alpha< 1/2$) dissipation $(-\Delta)^\alpha$ : If a Leray-Hopf weak solution is H\"{o}lder continuous $\theta\in C^\delta({\mathbb R}^2)$ with ...
Caffarelli +23 more
core +1 more source
Global Low-Energy Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals [PDF]
, 2012 We consider the weak solution of the simplified Ericksen-Leslie system modeling compressible nematic liquid crystal flows in $\mathbb R^3$. When the initial data is small in $L^2$ and initial density is positive and essentially bounded, we first prove ...
Tan, Zhong, Wu, Guochun
core
Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations
, 2017 We establish a weak-strong uniqueness principle for solutions to entropy-dissipating reaction-diffusion equations: As long as a strong solution to the reaction-diffusion equation exists, any weak solution and even any renormalized solution must coincide ...
Alexandre +37 more
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Clinical Insights Into Hypercalcemia of Malignancy in Childhood
Pediatric Blood &Cancer, EarlyView.ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley +1 more source
A Novel Weak Fuzzy Solution for Fuzzy Linear System
Entropy, 2016 This article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the ...
Soheil Salahshour +3 more
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