Results 111 to 120 of about 8,054 (259)

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

Nonclassical shock waves of conservation laws: Flux function having two inflection points

open access: yesElectronic Journal of Differential Equations, 2006
We consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a ...
Ho Dac Nghia, Mai Duc Thanh
doaj  

Riemann problem for a two-dimensional quasilinear hyperbolic system

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the study of the Riemann problem for a two-dimensional non-strictly hyperbolic system of conservation laws. The initial data are three constant states separated by three lines and are chosen so that one of the three interfaces ...
Chun Shen
doaj  

Contact discontinuities in multi-dimensional isentropic Euler equations

open access: yesElectronic Journal of Differential Equations, 2018
In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations.
Jan Brezina   +2 more
doaj  

The Riemann Mapping Problem

open access: yes, 2013
In this article we investigate the century-old continuous extension problem of the Riemann map. Let $G$ be a simply connected domain. We call $ $ in $\partial G$ a multiple point if there are simply connected subdomains $ U$ and $V$ such that $ \in\partial U \cap\partial V$ and $ dist (\partial U\cap G , \partial V\cap G )>0$.
openaire   +2 more sources

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