Pregled bibliografske jedinice broj: 630090
Entropies for radially symmetric higher-order nonlinear diffusion equations
Entropies for radially symmetric higher-order nonlinear diffusion equations // Communications in mathematical sciences, 9 (2011), 2; 353-382 doi:10.4310/CMS.2011.v9.n2.a2 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 630090 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Entropies for radially symmetric higher-order nonlinear diffusion equations
Autori
Bukal, Mario ; Jüngel, Ansgar ; Matthes, Daniel
Izvornik
Communications in mathematical sciences (1539-6746) 9
(2011), 2;
353-382
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
higher-order diffusion equations; thin-film equation; quantum diffusion model; polynomial decision problem; quantifier elimination
Sažetak
A previously developed algebraic approach to proving entropy production inequalities is extended to deal with radially symmetric solutions for a class of higher-order diffusion equations in multiple space dimensions. In application of the method, novel a priori estimates are derived for the thin-film equation, the fourth-order Derrida- Lebowitz-Speer-Spohn equation, and a sixth-order quantum diffusion equation.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Bukal
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts