Linear Stability of Steady States for Thin Film and Cahn-Hilliard Type Equations

By Richard S. Laugesen, M.C. Pugh. 2000

107 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/cd5e5cb7f49518b1bc561f03445314a466544828

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Jun-cheng Wei
2. Günther Grün
3. Andrea L. Bertozzi
4. Thomas P. Witelski
5. Zongming Guo
6. Jiahong Wu

In Computational Theory and Mathematics

1. Jun-cheng Wei
2. Zongming Guo
3. P. Esposito
4. Nassif Ghoussoub
5. Günther Grün
6. Andrea L. Bertozzi
7. Thomas P. Witelski
8. A. Malchiodi

In Materials Chemistry

1. Günther Grün
2. Andrea L. Bertozzi
3. Thomas P. Witelski
4. Jun-cheng Wei

Citations in the corpus

• Hausdorff Dimension of Ruptures for Solutions of a Semilinear Elliptic Equation with Singular Nonlinearity (2006, background): “steady-state problem of (3) has been studied thoroughly in [14, 16 ] and the references therein.”
• Dewetting films: bifurcations and concentrations (2001, methodology): “We note that this stability criterion, ur > umin [38], yields a weaker upper bound than the condition for the occurrence of an interior pressure maximum, up > umin since ur > up.”
• Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS (2010, background): “x; 0/ D 0; x 2 ": We note that this type of nonlinearities (with negative exponents) have also appeared in other models, especially those concerned with the dynamics of thin films of viscous fluids; see, for example, Bertozzi, Laugesen, Pugh [21, 22, 122, 123] and the references therein.”