Books > Science & Mathematics > Mathematics > Applied mathematics
|
Buy Now
General Parabolic Mixed Order Systems in Lp and Applications (Hardcover, 2013 ed.)
Loot Price: R2,006
Discovery Miles 20 060
You Save: R1,334
(40%)
|
|
General Parabolic Mixed Order Systems in Lp and Applications (Hardcover, 2013 ed.)
Series: Operator Theory: Advances and Applications, 239
Expected to ship within 12 - 17 working days
|
In this text, a theory for general linear parabolic partial
differential equations is established which covers equations with
inhomogeneous symbol structure as well as mixed-order systems.
Typical applications include several variants of the Stokes system
and free boundary value problems. We show well-posedness in
"Lp-Lq"-Sobolev spaces in time and space for the linear problems
(i.e., maximal regularity) which is the key step for the treatment
of nonlinear problems. The theory is based on the concept of the
Newton polygon and can cover equations which are not accessible by
standard methods as, e.g., semigroup theory. Results are obtained
in different types of non-integer "Lp"-Sobolev spaces as Besov
spaces, Bessel potential spaces, and Triebel Lizorkin spaces. The
last-mentioned class appears in a natural way as traces of
"Lp-Lq"-Sobolev spaces. We also present a selection of applications
in the whole space and on half-spaces. Among others, we prove
well-posedness of the linearizations of the generalized
thermoelastic plate equation, the two-phase Navier Stokes equations
with Boussinesq Scriven surface, and the "Lp-Lq" two-phase Stefan
problem with Gibbs Thomson correction. "
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.