Concepedia

Global existence and finite time blow-up of solutions of a Gierer–Meinhardt system

Fang Li, Rui Peng, Xianfa Song

Journal of Differential Equations · 2016 · 18 citations · 37 references

DOI

Concepts

References

37

The chemical basis of morphogenesis

Alan Turing · Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 1952 · 11.7K citations

, , +14

A theory of biological pattern formation

Alfred Gierer, Hans Meinhardt · Kybernetik · 1972 · 3.2K citations · Full text

, , +12

On a singular nonlinear elliptic boundary-value problem

A. C. Lazer, P. J. McKenna · Proceedings of the American Mathematical Society · 1991 · 587 citations

, , +8

The stability of spike solutions to the one-dimensional Gierer–Meinhardt model

David Iron, Michael J. Ward, Juncheng Wei · Physica D Nonlinear Phenomena · 2001 · 232 citations

, , +12

Large stable pulse solutions in reaction-diffusion equations

Arjen Doelman, Robert A. Gardner, Tasso J. Kaper · Indiana University Mathematics Journal · 2001 · 186 citations

, , +17