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Perspectives in nonlinear diffusion: between analysis, physics and geometry

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Beobachtungsstudie
Subtraktion
Punkt
Mathematik
Matching <Graphentheorie>
Güte der Anpassung
Zahlenbereich
Wärmeübergang
Endlich erzeugte Gruppe
Übergang
Arithmetischer Ausdruck
Regulärer Graph
Arithmetische Folge
Verbandstheorie
Exakter Test
Rechter Winkel
Mathematikerin
Nichtunterscheidbarkeit
Minimum
Differentialgleichungssystem
Mereologie
Grundraum
Aggregatzustand
Beobachtungsstudie
Lineares Funktional
Prozess <Physik>
Physikalisches System
Division
Ereignishorizont
Physikalische Theorie
Computeranimation
Basisvektor
Garbentheorie
Verband <Mathematik>
Explosion <Stochastik>
Analogieschluss
Geometrie
Aggregatzustand
Impuls
Abstimmung <Frequenz>
Prozess <Physik>
Momentenproblem
Natürliche Zahl
Gruppenkeim
Gleichungssystem
Raum-Zeit
Gruppendarstellung
Existenzsatz
Unordnung
Stützpunkt <Mathematik>
Figurierte Zahl
Phasenumwandlung
Nichtlinearer Operator
Lineares Funktional
Approximation
Grothendieck-Topologie
Reihe
Endlich erzeugte Gruppe
Entscheidungstheorie
Konzentrizität
Menge
Forcing
Konditionszahl
Mathematikerin
Körper <Physik>
Explosion <Stochastik>
Aggregatzustand
Gravitation
Subtraktion
Ortsoperator
Quader
Wasserdampftafel
Stab
Physikalismus
Kondition <Mathematik>
Gruppenoperation
Zahlenbereich
Mathematische Logik
Punktspektrum
Division
Algebraische Struktur
Hauptideal
Arithmetische Folge
Spieltheorie
Modelltheorie
Spezifisches Volumen
Optimierung
Trennungsaxiom
Beobachtungsstudie
Mathematik
Relativitätstheorie
Validität
Kombinator
Energiedichte
Last
Hydrostatischer Antrieb
Mereologie
Impuls
Abstimmung <Frequenz>
Sterbeziffer
Momentenproblem
Wellenlehre
Natürliche Zahl
Wasserdampftafel
Physikalismus
t-Test
Gruppenkeim
Familie <Mathematik>
Zahlenbereich
Gleichungssystem
Euklidischer Ring
Gesetz <Physik>
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Computeranimation
Arithmetische Folge
Spieltheorie
Rotationsfläche
Inverser Limes
Modelltheorie
Grundraum
Figurierte Zahl
Beobachtungsstudie
Addition
Nichtlinearer Operator
Matching <Graphentheorie>
Mathematik
Eindeutigkeit
Relativitätstheorie
Fläche
Reihe
Ordnungsreduktion
Objekt <Kategorie>
Konstante
Summengleichung
Flächeninhalt
Sortierte Logik
Rechter Winkel
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Differentialgleichungssystem
Mathematikerin
Körper <Physik>
Luftreibung
Aggregatzustand
Algebraisches Modell
Distributionstheorie
Subtraktion
Stabilitätstheorie <Logik>
Dissipation
Prozess <Physik>
Hausdorff-Dimension
Wasserdampftafel
Klasse <Mathematik>
Gruppenoperation
Besprechung/Interview
Geräusch
Auflösung <Mathematik>
Transformation <Mathematik>
Raum-Zeit
Gruppendarstellung
Variable
Spieltheorie
Fächer <Mathematik>
Reflexiver Raum
Optimierung
Figurierte Zahl
Gerade
Oval
Physikalisches System
Biprodukt
Entscheidungstheorie
Geschlecht <Mathematik>
Rechter Winkel
Differentialgleichungssystem
Verzerrungstensor
Dualitätstheorie
Aggregatzustand
Resultante
Stabilitätstheorie <Logik>
Punkt
Stoß
Wasserdampftafel
Natürliche Zahl
Relativitätstheorie
Fläche
Schlussregel
Ereignishorizont
Überlagerung <Mathematik>
Forcing
Exakter Test
Mereologie
Dreiecksfreier Graph
Funktionalanalysis
Figurierte Zahl
Aggregatzustand
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Mathematische Größe
Gravitation
Abstimmung <Frequenz>
Prozess <Physik>
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Momentenproblem
Sterbeziffer
Wasserdampftafel
Klasse <Mathematik>
Gruppenoperation
Gruppenkeim
Transportproblem
Division
Raum-Zeit
Gruppendarstellung
Einheit <Mathematik>
Vier
Flächentheorie
Minimum
Bestimmtheitsmaß
Indexberechnung
Abstand
Beobachtungsstudie
Lineares Funktional
Berechenbare Funktion
Knoten <Mathematik>
Grothendieck-Topologie
Mathematik
Exponent
Amenable Gruppe
Freier Ladungsträger
sinc-Funktion
Güte der Anpassung
Schlussregel
p-Block
Zeitzone
Umfang
Druckverlauf
Forcing
Menge
Flächeninhalt
Rechter Winkel
Evolute
Mereologie
Normalvektor

Metadaten

Formale Metadaten

Titel Perspectives in nonlinear diffusion: between analysis, physics and geometry
Serientitel International Congress of Mathematicians, Madrid 2006
Anzahl der Teile 33
Autor Vázquez, Juan Luis
Lizenz CC-Namensnennung 3.0 Deutschland:
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DOI 10.5446/15978
Herausgeber Instituto de Ciencias Matemáticas (ICMAT)
Erscheinungsjahr 2006
Sprache Englisch

Inhaltliche Metadaten

Fachgebiet Mathematik
Abstract We review some topics in the mathematical theory of nonlinear diffusion. Attention is focused on the porous medium equation and the fast diffusion equation, including logarithmic diffusion. Special features are the existence of free boundaries, the limited regularity of the solutions and the peculiar asymptotic laws for porous medium flows, while for fast diffusions we find the phenomena of finite-time extinction, delayed regularization, nonuniqueness and instantaneous extinction. Logarithmic diffusion with its strong geometrical flavor is also discussed. Connections with functional analysis, semigroup theory, physics of continuous media, probability and differential geometry are underlined.
Schlagwörter nonlinear diffusion
degenerate parabolic equations
flows in porous media

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