Results 21 to 30 of about 976 (113)
On a nonlinear compactness lemma in Lp(0, T; B)
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1725-1730, 2003., 2003 We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic‐parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus ...
Emmanuel Maitre
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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
semanticscholar +1 more source
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
semanticscholar +2 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3385-3411, 2003., 2003 We study the hp version of three families of Eulerian‐Lagrangian mixed discontinuous finite element (MDFE) methods for the numerical solution of advection‐diffusion problems. These methods are based on a space‐time mixed formulation of the advection‐diffusion problems.
Hongsen Chen, Zhangxin Chen, Baoyan Li
wiley +1 more source
Null controllability of degenerate parabolic cascade systems
, 2011 . In this paper, we study the null controllability of degenerate semilinear cas-cade parabolic systems with one control force. The key tool is the Carleman estimatesdeveloped recently for degenerate one dimension parabolic equations.
E. Hassi +3 more
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Null controllability for a degenerate population model in divergence form via Carleman estimates
Advances in Nonlinear Analysis, 2019 In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
doaj +1 more source
Critical global asymptotics in higher‐order semilinear parabolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 60, Page 3809-3825, 2003., 2003 We consider a higher‐order semilinear parabolic equation ut = −(−Δ)mu − g(x, u) in ℝN × ℝ+, m > 1. The nonlinear term is homogeneous: g(x, su) ≡ |s|p−1sg(x, u) and g(sx, u) ≡ |s|Qg(x, u) for any s ∈ ℝ, with exponents P > 1, and Q > −2m. We also assume that g satisfies necessary coercivity and monotonicity conditions for global existence of solutions ...
Victor A. Galaktionov
wiley +1 more source
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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Anisotropic nonlinear diffusion with absorption: existence and extinction
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 427-434, 1996., 1994 The authors prove that the nonlinear parabolic partial differential equation with homogeneous Dirichlet boundary conditions and a nonnegative initial condition has a nonnegative generalized solution u. They also give necessary and sufficient conditions on the constitutive functions φij and f which ensure the existence of a time t0 > 0 for which u ...
Alan V. Lair, Mark E. Oxley
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Large time behavior of solutions for the porous medium equation with a nonlinear gradient source
Boundary Value Problems, 2014 This paper deals with the large time behavior of non-negative solutions for the porous medium equation with a nonlinear gradient source ut=Δum+|∇ul|q, (x,t)∈Ω×(0,∞), where l≥m>1 and 1 ...
Nan Li +3 more
semanticscholar +2 more sources