Results 91 to 100 of about 59,515 (231)
Asian Journal of Control, Volume 27, Issue 5, Page 2111-2127, September 2025.Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui +2 more
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Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
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Well-posedness of KdV type equations
Electronic Journal of Differential Equations, 2012 In this work, we study the initial value problems associated to some linear perturbations of KdV equations. Our focus is in the well-posedness issues for initial data given in the L^2-based Sobolev spaces.
Xavier Carvajal, Mahendra Panthee
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A well-posedness result for an extended KdV equation
Partial Differential Equations in Applied MathematicsAmong the most interesting things Russell discovered was there is a mathematical relation between the height of the wave, the depth of the wave when water at rest and the speed at which the wave travels.
M. Berjawi, T. El Arwadi, S. Israwi
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Well-posedness, a short survey
, 2007 In this paper we analyze the property of Tykhonov wellposedness in relation to other well-posedness properties which are ordinal and, as stated in the title, we give a survey on some important results on well-posedness in scalar optimization and in scalar inequalities.
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Well-posedness viaMonotonicity – an Overview [PDF]
, 2015 Thoroughly revised version.
Picard, Rainer +2 more
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Nonlocal Mixed Systems With Neumann Boundary Conditions
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12632-12643, September 2025.ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical ...
Rinaldo M. Colombo +2 more
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Journal of Applied Mathematics, 2012 The purpose of this paper is to investigate the problems of the well-posedness for a system of mixed quasivariational-like inequalities in Banach spaces.
L. C. Ceng, Y. C. Lin
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Global well-posedness of Kirchhoff systems
Journal de Mathématiques Pures et Appliquées, 2013 The aim of this paper is to establish the $H^1$ global well-posedness for Kirchhoff systems. The new approach to the construction of solutions is based on the asymptotic integrations for strictly hyperbolic systems with time-dependent coefficients. These integrations play an important role to setting the subsequent fixed point argument.
Matsuyama, Tokio, Ruzhansky, Michael
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Well-posedness of the water-waves equations [PDF]
Journal of the American Mathematical Society, 2005 We prove that the water-waves equations (i.e., the inviscid Euler equations with free surface) are well-posed locally in time in Sobolev spaces for a fluid layer of finite depth, either in dimension 2 2 or 3 3 under a stability condition on the linearized equations.
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