Results 81 to 90 of about 59,515 (231)
On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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A Class of Sixth Order Viscous Cahn-Hilliard Equation with Willmore Regularization in ℝ3
Mathematics, 2020 The main purpose of this paper is to study the Cauchy problem of sixth order viscous Cahn–Hilliard equation with Willmore regularization. Because of the existence of the nonlinear Willmore regularization and complex structures, it is difficult to obtain ...
Xiaopeng Zhao, Ning Duan
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Attractors for an Energy‐Damped Viscoelastic Plate Equation
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13864-13881, 30 September 2025.ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso +3 more
wiley +1 more source
Local well posedness for a linear coagulation equation [PDF]
, 2009 In this paper we derive some a priori estimates for a class of linear coagulation equations with particle fluxes towards large size particles. The derived estimates allow us to prove local well posedness for the considered equations.
Escobedo, M., Velazquez, J. J. L.
core
Well-posedness and ill-posedness of the fifth-order modified KdV equation
Electronic Journal of Differential Equations, 2008 We consider the initial value problem of the fifth-order modified KdV equation on the Sobolev spaces. $$displaylines{ partial_t u - partial_x^5u + c_1partial_x^3(u^3) + c_2upartial_x upartial_x^2 u + c_3uupartial_x^3 u =0cr u(x,0)= u_0(x ...
Soonsik Kwon
doaj
Well-Posedness of MultiCriteria Network Equilibrium Problem
Abstract and Applied Analysis, 2014 New notions of ϵ-equilibrium flow and ξk0-ϵ-equilibrium flow of multicriteria network equilibrium problem are introduced; an equivalent relation between vector ϵ-equilibrium pattern flow and ξk0-ϵ-equilibrium flow is established. Then, the well-posedness
W. Y. Zhang
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Regularization in Structural Model Updating in the Presence of Noisy Data
International Journal for Numerical Methods in Engineering, Volume 126, Issue 17, 15 September 2025.ABSTRACT This article addresses the presence of noise when solving the inverse problem of determining the material properties of an elastic engineering structure from measured vibration data. After identifying the frequencies, material properties are determined by solving an optimization problem. However, if the experimental frequencies are affected by
Maria Girardi +3 more
wiley +1 more source
Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]
In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
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A Level Set Topology Optimization Theory Based on Hamilton's Principle
International Journal for Numerical Methods in Engineering, Volume 126, Issue 17, 15 September 2025.ABSTRACT In this article, we propose a unified variational framework for deriving the evolution equation of the level set function in topology optimization, departing from conventional Hamilton–Jacobi‐based formulations. The key idea is the introduction of an auxiliary domain, geometrically identical to the physical design domain, occupied by ...
Jan Oellerich, Takayuki Yamada
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Local well-posedness in Lovelock gravity [PDF]
Classical and Quantum Gravity, 2014 It has long been known that Lovelock gravity, being of Cauchy-Kowalevskaya type, admits a well defined initial value problem for analytic data. However, this does not address the physically important issues of continuous dependence of the solution on the data and the domain of dependence property.
openaire +3 more sources