Results 61 to 70 of about 2,210 (114)
The Zero Number Diminishing Property under General Boundary Conditions
, 2019 The so-called {\it zero number diminishing property} (or {\it zero number argument}) is a powerful tool in qualitative studies of one dimensional parabolic equations, which says that, under the zero- or non-zero-Dirichlet boundary conditions, the number ...
Lou, Bendong
core +1 more source
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium
Open Mathematics, 2017 The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
doaj +1 more source
Gradient estimates for a weighted nonlinear parabolic equation and applications
Open Mathematics, 2020 This paper derives elliptic gradient estimates for positive solutions to a nonlinear parabolic equation defined on a complete weighted Riemannian manifold.
Abolarinwa Abimbola +2 more
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Existence and nonexistence of global solutions of degenerate and singular parabolic systems
, 2000 Abstract and Applied Analysis, Volume 5, Issue 4, Page 265-284, 2000.
Gabriella Caristi
wiley +1 more source
Blowing-up solutions of the time-fractional dispersive equations
Advances in Nonlinear Analysis, 2021 This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers, Rosenau, Camassa-Holm, Degasperis-Procesi, Ostrovsky and time-fractional modified Korteweg-de Vries ...
Alsaedi Ahmed +3 more
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Self-propagating High temperature Synthesis (SHS) in the high activation energy regime [PDF]
, 2005 We derive the precise limit of SHS in the high activation energy scaling suggested by B.J. Matkowksy-G.I. Sivashinsky in 1978 and by A. Bayliss-B.J. Matkowksy-A.P. Aldushin in 2002. In the time-increasing case the limit turns out to be the Stefan problem
Monneau, Regis, Weiss, G. S.
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Stability of spectral eigenspaces in nonlinear Schrodinger equations
, 2006 We consider the time-dependent non linear Schrodinger equations with a double well potential in dimensions d =1 and d=2. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear ...
Bambusi, Dario, Sacchetti, Andrea
core +2 more sources
Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space [PDF]
, 2006 We show that the the 2 D quasi-geostrophic equation has global and unique strong solution, when the (large) data belongs in the critical, scale invariant space $\dot{B}^{2-2\al}_{2, \infty}\cap L^{2/(2\al-1)}$
Stefanov, Atanas
core +3 more sources
Optimal coupling for mean field limits
, 2009 We review recent quantitative results on the approximation of mean field diffusion equations by large systems of interacting particles, obtained by optimal coupling methods.
Bolley, François
core
Higher-order anisotropic models in phase separation
Advances in Nonlinear Analysis, 2017 Our aim in this paper is to study higher-order (in space) Allen–Cahn and Cahn–Hilliard models. In particular, we obtain well-posedness results, as well as the existence of the global attractor.
Cherfils Laurence +2 more
doaj +1 more source