Results 51 to 60 of about 7,825,197 (282)
Balanced-Viscosity solutions for multi-rate systems [PDF]
, 2014 Several mechanical systems are modeled by the static momentum balance for the displacement $u$ coupled with a rate-independent flow rule for some internal variable $z$. We consider a class of abstract systems of ODEs which have the same structure, albeit
Mielke, Alexander +2 more
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The Dirichlet Problem of Hessian Equation in Exterior Domains
Mathematics, 2020 In this paper, we will obtain the existence of viscosity solutions to the exterior Dirichlet problem for Hessian equations with prescribed asymptotic behavior at infinity by the Perron’s method. This extends the Ju–Bao results on Monge–Ampère equations
Hongfei Li, Limei Dai
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Prediction of Antibody Viscosity from Dilute Solution Measurements
Antibodies, 2023 The high antibody doses required to achieve a therapeutic effect often necessitate high-concentration products that can lead to challenging viscosity issues in production and delivery. Predicting antibody viscosity in early development can play a pivotal
Kamal Bhandari +5 more
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The Hopf-Lax formula gives the unique viscosity solution
Differential and Integral Equations, 2002 It is proved that the Hopf{Lax formula provides the unique viscosity solution of the Cauchy problem u 0 t (t; x) + H(u 0 x (t; x)) = 0; (t; x) 2 (0; T ] R n ; lim t#0 u(t; x) = '(x) for all x 2 R n. Let H : R n ! R be a convex function such that H(p)=jpj
Thomas Strömberg
semanticscholar +1 more source
, 2009 This paper focuses on the analysis of the gravitational instability in presence of bulk viscosity both in Newtonian regime and in the fully-relativistic approach.
Carlevaro, Nakia, Montani, Giovanni
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The Lax-Oleinik semigroup on graphs
Networks and Heterogeneous Media, 2017 We consider Tonelli Lagrangians on a graph, define weak KAM solutions, which happen to be the fixed points of the Lax-Oleinik semi-group, and identify their uniqueness set as the Aubry set, giving a representation formula.
Renato Iturriaga +1 more
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Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy ...
Vsevolod Zhanovich Sakbaev
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The Future Asymptotic Behaviour of a Non-Tilted Bianchi Type IV Viscous Model
, 2013 The future asymptotic behaviour of a non-titled Bianchi Type IV viscous fluid model is analyzed. In particular, we consider the case of a viscous fluid without heat conduction, and constant expansion-normalized bulk and shear viscosity coefficients.
Haslam, Michael C., Kohli, Ikjyot Singh
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Viscosity Solutions for Controlled McKean-Vlasov Jump-Diffusions [PDF]
SIAM Journal of Control and Optimization, 2019 We study a class of non linear integro-differential equations on the Wasserstein space related to the optimal control of McKean--Vlasov jump-diffusions. We develop an intrinsic notion of viscosity solutions that does not rely on the lifting to an Hilbert
Matteo Burzoni +3 more
semanticscholar +1 more source