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Displaying 1801 – 1820 of 2162

On the two-dimensional compressible isentropic Navier–Stokes equations

Catherine Giacomoni, Pierre Orenga (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We analyze the compressible isentropic Navier–Stokes equations (Lions, 1998) in the two-dimensional case with $γ = c_{p} / c_{v} = 2$ . These equations also modelize the shallow water problem in height-flow rate formulation used to solve the flow in lakes and perfectly well-mixed sea. We establish a convergence result for the time-discretized problem when the momentum equation and the continuity equation are solved with the Galerkin method, without adding a penalization term in the continuity equation as it is made in Lions...

On the two-phase membrane problem with coefficients below the Lipschitz threshold

Erik Lindgren, Henrik Shahgholian, Anders Edquist (2009)

Annales de l'I.H.P. Analyse non linéaire

On the uniform boundedness of the solutions of systems of reaction-diffusion equations.

Melkemi, Lamine, Mokrane, Ahmed Zerrouk, Youkana, Amar (2005)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

On the Uniform Decay of the Local Energy

Vodev, Georgi (1999)

Serdica Mathematical Journal

It is proved in [1],[2] that in odd dimensional spaces any uniform decay of the local energy implies that it must decay exponentially. We extend this to even dimensional spaces and to more general perturbations (including the transmission problem) showing that any uniform decay of the local energy implies that it must decay like O(t^(−2n) ), t ≫ 1 being the time and n being the space dimension.

On the uniformly continuity of the solution map for two dimensional wave maps.

Georgiev, Svetlin, Georgieva, Penka Vasileva (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

On the unique continuation property for a nonlinear dispersive system.

Kozakevicius, Alice, Vera, Octavio (2005)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

On the unique solvability of a nonlocal phase separation problem for multicomponent systems

Jens A. Griepentrog (2004)

Banach Center Publications

A nonlocal model of phase separation in multicomponent systems is presented. It is derived from conservation principles and minimization of free energy containing a nonlocal part due to particle interaction. In contrast to the classical Cahn-Hilliard theory with higher order terms this leads to an evolution system of second order parabolic equations for the particle densities, coupled by nonlinear and nonlocal drift terms, and state equations which involve both chemical and interaction potential...

On the unique solvability of nonresonant elliptic equations

Pavol Quittner, Darko Žubrinić (1986)

Commentationes Mathematicae Universitatis Carolinae

On the unique solvability of semi-linear elliptic systems

Jaroslav Jaroš (1997)

Mathematica Slovaca

On the unique solvability of some nonlinear stochastic PDEs.

Yoo, Hyek (1998)

Electronic Journal of Probability [electronic only]

On the uniqueness and simplicity of the principal eigenvalue

Marcello Lucia (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Given an open set $Ω$ of $R^{N}$ $(N > 2)$ , bounded or unbounded, and a function $w \in L^{\frac{N}{2}} (Ω)$ with $w^{+} \neq 0$ but allowed to change sign, we give a short proof...

On the uniqueness of bounded weak solutions to the Navier-Stokes Cauchy problem

Paolo Maremonti (2009)

Matematički Vesnik

On the uniqueness of initial-value problems for partial differential equations of the first order

P. Besala (1983)

Annales Polonici Mathematici

On the Uniqueness of Solutions and on the Convergence of Successive Approximations for Certain Initial Problems of Equations of the Higher Orders

Vladimír Ďurikovič (1970)

Matematický časopis

On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type $u_{x y} = f (x, y, u, u_{x}, u_{y})$

Vladimír Ďurikovič (1968)

Archivum Mathematicum

On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three-dimensional space.

Giniatoullin, Andrei I. (1997)

Revista Colombiana de Matemáticas

On the uniqueness of solutions of the homogeneous curvature equations

Timothy R. Cranny (1996)

Annales de l'I.H.P. Analyse non linéaire

On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics

Marvin Zeman (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the uniqueness of the second bound state solution of a semilinear equation

Carmen Cortázar, Marta García-Huidobro, Cecilia S. Yarur (2009)

Annales de l'I.H.P. Analyse non linéaire

On the uniqueness of viscosity solutions for first order partial differential-functional equations

Krzysztof Topolski (1994)

Annales Polonici Mathematici

We consider viscosity solutions for first order differential-functional equations. Uniqueness theorems for initial, mixed, and boundary value problems are presented. Our theorems include some results for generalized ("almost everywhere") solutions.

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