Results 21 to 30 of about 12,485 (201)
Filtration in cohesive soils: numerical approach
Computer Assisted Methods in Engineering and Science, 2023 Paper presents a numerical method for solving the initial boundary-value problem for a certain quasilinear parabolic equation describing the low velocity filtration problem. The convergence of the method is proved.
Robert Schaefer, Stanislaw Sędziwy
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Journal of Optimization, Differential Equations and Their Applications, 2023 In this work, we study a sparse optimal control problem involving a quasilinear parabolic equation with variable order of nonlinearity as a state equation and with a pointwise control constraints.
Ciro D’Apice +2 more
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Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain
, 2018 Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
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Abstract and Applied Analysis, 2003 This paper deals with weak solution in weighted Sobolev spaces, of three-point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly,
Abdelfatah Bouziani
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, 2013 We study the relative value iteration for the ergodic control problem under a near-monotone running cost structure for a nondegenerate diffusion controlled through its drift.
Arapostathis, Ari +2 more
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Quasivariational solutions for first order quasilinear equations with gradient constraint [PDF]
, 2012 We prove the existence of solutions for an evolution quasi-variational inequality with a first order quasilinear operator and a variable convex set, which is characterized by a constraint on the absolute value of the gradient that depends on the solution
A. Azevedo +21 more
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Uniform Bounds for Solutions to Quasilinear Parabolic Equations
Journal of Differential Equations, 2001 The authors consider a class of quasilinear parabolic equations on a domain \(D \subset \mathbb{R}^d\) of finite Lebesgue measure in the form \[ u_t(t,x) = \text{div\,} a(t,x,u(t,x), \nabla u(t,x)); \quad t \in (0,\infty),\;x \in D. \] where \(a : (0,\infty)\times D \times \mathbb{R} \times \mathbb{R}^d \to \mathbb{R}^d\) is a Carathéodory function ...
CIPRIANI, FABIO EUGENIO GIOVANNI +1 more
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Optimal control of quasilinear parabolic equations [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1995 This paper deals with optimal control problems governed by quasilinear parabolic equations in divergence form, whose cost functional is of Lagrangian type. Our aim is to prove the existence of solutions and derive some optimality conditions. To attain this second objective, we accomplish the sensitivity analysis of the state equation with respect to ...
Casas, Eduardo +2 more
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Abstract quasilinear parabolic equations
Mathematische Annalen, 1984 The author deals with an abstract quasilinear parabolic problem \(u'(t)=A(t,u(t))u(t)+f(t,u(t)), t>0\), \(u(0)=u_ 0\) in a Banach space X. His theorems on existence and uniqueness are such that a concrete quasilinear parabolic problem can be attacked without imposing growth conditions on the coefficients.
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, 2010 We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms.
Arkhipova A.A. +26 more
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