On the Domain of Analyticity for Solutions of Second Order Analytic Nonlinear Differential Equations

By M. Oliver, Edriss S. Titi. 2001

65 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/374ddfb49b0d6b0a709812b372dea305d4265fce

How researchers see this paper

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

In Computational Theory and Mathematics

1. I. Karlin
2. Alexander N Gorban

In Computer Networks and Communications

1. I. Karlin
2. Alexander N Gorban

In Control and Systems Engineering

1. I. Karlin
2. Alexander N Gorban
3. Dieter Bothe
4. Michel Pierre

Citations in the corpus

• Gevrey regularity of solutions to the 3-D Navier-Stokes equations with weighted $l_p$ initial data (2007, background): “Examples include the case of Navier-Stokes equations on a rotating 2-D sphere ([3]), a certain class of analytic, nonlinear partial differential equations ([6], [16]), the Kuramoto-Sivashinsky equation ([13]) and more recently, the Smoluchowski equation ([4]).”
• Invariant Manifolds for Physical and Chemical Kinetics (2005, background): “We note in passing that recently the interest to the classical analytical Cauchy problem is revived in the mathematical physics literature [179,180].”
• Constructive methods of invariant manifolds for kinetic problems (2003, background): “We note in passing that recently, the interest to the classical analytical Caughy problem revived in the mathematical physics literature [96, 97].”