A Note on Shock Profiles in Dissipative Hyperbolic and Parabolic Models
Srboljub S. Simić (2008)
Publications de l'Institut Mathématique
D. Žubrinić (1987)
Matematički Vesnik
Jin, Chunhua, Ke, Yuanyuan, Yin, Jingxue (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Joseph Shomberg (2005)
Mathematica Bohemica
It is easily seen that the graphs of harmonic conjugate functions (the real and imaginary parts of a holomorphic function) have the same nonpositive Gaussian curvature. The converse to this statement is not as simple. Given two graphs with the same nonpositive Gaussian curvature, when can we conclude that the functions generating their graphs are harmonic? In this paper, we show that given a graph with radially symmetric nonpositive Gaussian curvature in a certain form, there are (up to) four families...
Field, Michael, Golubitsky, Martin, Nicol, Matthew (1994)
Equadiff 8
Ricardo H. Nochetto (1986)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
R. Meyer-Spasche (1979)
Numerische Mathematik
Alessio Porretta (2002)
Rendiconti del Seminario Matematico della Università di Padova
Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
Brzezina, Miroslav (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Ashyralyev, A., Sobolevskii, P.E. (2001)
Abstract and Applied Analysis
Aleš Nekvinda, Luboš Pick (1988)
Commentationes Mathematicae Universitatis Carolinae
Uday Banerjee (1992)
Numerische Mathematik
Gatica, Gabriel N. (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Yuji Liu (2010)
Applications of Mathematics
This paper is concerned with the existence of positive solutions of a multi-point boundary value problem for higher-order differential equation with one-dimensional -Laplacian. Examples are presented to illustrate the main results. The result in this paper generalizes those in existing papers.
Wan Se Kim (1993)
Commentationes Mathematicae Universitatis Carolinae
The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.
To Fu Ma (1994)
Portugaliae Mathematica
Petr Kučera, Zdeněk Skalák (2003)
Applications of Mathematics
We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.
Paolo Secchi (1990)
Rendiconti del Seminario Matematico della Università di Padova
Der-Chen E. Chang (1988)
Manuscripta mathematica