Nonlinear diffusion in population genetics
- P. Fife, L. Peletier
- Physics
- 1 June 1977
A New Class of Entropy Solutions of the Buckley-Leverett Equation
- C. J. Duijn, L. Peletier, I. Pop
- MathematicsSIAM Journal on Mathematical Analysis
- 4 July 2007
This extension of the Buckley–Leverett (BL) equation including a third order mixed derivatives term and models the dynamic effects in the pressure difference between the two phases leads to admissible shocks for the original BL equation, which violate the Oleinik entropy condition and are therefore called nonclassical.
An anti-maximum principle for second-order elliptic operators
- P. Clément, L. Peletier
- Mathematics
- 1 November 1979
Stabilization of solutions of a degenerate nonlinear diffusion problem
- D. Aronson, M. Crandall, L. Peletier
- Mathematics
- 1 October 1982
Large time behaviour of solutions of the porous medium equation in bounded domains
- D. Aronson, L. Peletier
- Mathematics
- 1 March 1981
Saddle solutions of the bistable diffusion equation
- H. Dang, P. Fife, L. Peletier
- Mathematics
- 1 November 1992
Stationary solutions of the bistable Cahn-Allen diffusion equation in the plane are constructed, which are positive in quadrants 1 and 3 and negative in the other two quadrants. They are unique and…
A very singular solution of the heat equation with absorption
- H. Brezis, L. Peletier, D. Terman
- Mathematics
- 1 September 1986
Consider the Cauchy problem ut -du + u p ----0 on RN• (0, oo) (I.1) u > 0 on RN• (0, oo) (1.2) u(X, O) = c ~(x) on R, N, (1.3) where N _--> 1, c > 0 is a constant and ~(x) denotes the Dirac mass at…
Stable Transition Layers in a Semilinear Boundary Value Problem
- S. Angenent, J. Mallet-Paret, L. Peletier
- Mathematics
- 1 April 1987
Spatial Patterns: Higher Order Models in Physics and Mechanics
- L. Peletier, W. Troy
- Physics
- 21 June 2001
Preface Outline 1. Introduction Part I: The Symmetric Bistable Equation 2. Real Eigenvalues 3. Estimates 4. Periodic Solutions 5. Kinks and Pulses 6. Chaotic Solutions 7. Variational Problems Part…
Asymptotics for Elliptic Equations Involving Critical Growth
- H. Brezis, L. Peletier
- Mathematics
- 1989
Consider the problem
$$ \left( I \right){\rm{ }}\left\{ {\matrix{ { - u - \lambda u = 3{u^{5 - \in }}} & {in{\rm{ }}\Omega } \cr {u >0} & {in{\rm{ }}\Omega } \cr {u = 0} & {on{\rm{ }}\partial…
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