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
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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
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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
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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
A waiting time phenomenon for thin film equations [PDF]
, 2001 We prove the occurrence of a waiting time phenomenon for solutions to fourth order degenerate parabolic differential equations which model the evolution of thin films of viscous fluids.
G. GRUEN +2 more
core
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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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
Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces
, 2016 The nonnegative solution for a linear degenerate diffusion transport eqution is proved. As a result, we show the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces $H^\alpha$ with nonnegative initial data,
Xiao, Weiliang, Zhou, Xuhuan
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The impact factors of the risk index and diffusive dynamics of a SIS free boundary model. [PDF]
Infect Dis Model, 2022 Tong Y, Ahn I, Lin Z.
europepmc +1 more source
Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]
Calc Var Partial Differ Equ, 2021 Bögelein V +3 more
europepmc +1 more source