Results 1 to 10 of about 139 (44)
Convergence rate for the incompressible limit of nonlinear diffusion–advection equations [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéar, 2021 The incompressible limit of nonlinear diffusion equations of porous medium type has attracted a lot of attention in recent years, due to its ability to link the weak formulation of cell-population models to free boundary problems of Hele-Shaw type ...
Noemi David, Tomasz Dkebiec, B. Perthame
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On the (p,h)-convex function and some integral inequalities
Journal of Inequalities and Applications, 2014 In this paper, we introduce a new class of (p,h)-convex functions which generalize P-functions and convex, h,p,s-convex, Godunova-Levin functions, and we give some properties of the functions.
Z. Fang, Renjie Shi
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Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N≥3)
Boundary Value Problems, 2014 This paper deals with the blow-up of the solution to a non-local reaction diffusion problem in RN for N≥3 under nonlinear boundary conditions. Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the ...
G. Tang, Yuanfei Li, Xitao Yang
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, 2020 This paper concerns the approximate controllability of the initialboundary problem of double coupled semilinear degenerate parabolic equations. The equations are degenerate at the boundary, and the control function acts in the interior of the spacial ...
Chunpeng Wang
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Boundary Value Problems, 2014 We investigate the extinction properties of non-negative nontrivial weak solutions of the initial-boundary value problem for a p-Laplacian evolution equation with nonlinear gradient source and absorption terms.MSC:35K65, 35B33, 35B40.
Xianghui Xu, Z. Fang
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Open Journal of Mathematical Analysis, 2018 This paper deals with the determination of a coefficient in the diffusion term of some degenerate /singular one-dimensional linear parabolic equation from final data observations. The mathematical model leads to a non convex minimization problem.
K. Atifi, E. Essoufi, Hamed Ould Sidi
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Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations
Advances in Differential Equations, 2008 We prove an intrinsic Harnack inequality for non-negative local weak solutions of a wide class of doubly nonlinear degenerate parabolic equations whose prototype is ut − div(u|Du|Du) = 0, p > 2, m > 1.
S. Fornaro, M. Sosio
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Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation
Boundary Value Problems, 2013 We study a driven sixth-order Cahn-Hilliard type equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. Based on the Leray-Schauder fixed point theorem, we prove the existence of time-periodic solutions.
Changchun Liu, Aibo Liu, Hui Tang
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Asymptotic stability for a symmetric parabolic problem modeling Ohmic heating
Boundary Value Problems, 2014 We consider the asymptotic behavior of the solution of the non-local parabolic equation ut=(κ(u))rr+(κ(u))rr+f(u)(a+2πb∫01f(u)rdr)2, for 00, with a homogeneous Dirichlet boundary condition.
Mingshu Fan, Anyin Xia, Lei Zhang
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Classical and Quantum Mechanical Models of Many-Particle Systems
Oberwolfach Reports, 2018 . This workshop was dedicated to the presentation of recent re- sults in the field of the mathematical study of kinetic theory and its natural extensions (statistical physics and fluid mechanics).
A. Arnold, E. Carlen, L. Desvillettes
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