Results 1  10
of
3,311,262
NONLOCAL SYSTEMS OF CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS
"... Abstract. We present a Lax–Friedrichs type algorithm to numerically integrate a class of nonlocal and nonlinear systems of conservation laws in several space dimensions. The convergence of the approximate solutions is proved, also providing the existence of solution in a slightly more general settin ..."
Abstract
 Add to MetaCart
Abstract. We present a Lax–Friedrichs type algorithm to numerically integrate a class of nonlocal and nonlinear systems of conservation laws in several space dimensions. The convergence of the approximate solutions is proved, also providing the existence of solution in a slightly more general
Quasilinear Symmetric Hyperbolic Fuchsian Systems in Several Space Dimensions
"... Abstract. We establish existence and uniqueness results for the singular initial value problem associated with a class of quasilinear, symmetric hyperbolic, partial differential equations of Fuchsian type in several space dimensions. This is an extension of earlier work by the authors for the same p ..."
Abstract

Cited by 3 (2 self)
 Add to MetaCart
Abstract. We establish existence and uniqueness results for the singular initial value problem associated with a class of quasilinear, symmetric hyperbolic, partial differential equations of Fuchsian type in several space dimensions. This is an extension of earlier work by the authors for the same
On the Convergence of the Parabolic Approximation of a Conservation Law in Several Space Dimensions
"... . We give a proof of the convergence of the solution of the parabolic approximation u " t + div f(x; t; u " ) = "\Deltau " towards the entropic solution of the scalar conservation law u t + div f(x; t; u) = 0 in several space dimensions. For any initial condition u 0 2 L 1 ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
. We give a proof of the convergence of the solution of the parabolic approximation u " t + div f(x; t; u " ) = "\Deltau " towards the entropic solution of the scalar conservation law u t + div f(x; t; u) = 0 in several space dimensions. For any initial condition u 0 2 L
THE INHOMOGENEOUS PME IN SEVERAL SPACE DIMENSIONS. EXISTENCE AND UNIQUENESS OF FINITE ENERGY SOLUTIONS
"... (Communicated by the associate editor name) Abstract. We study the questions of existence and uniqueness of nonnegative solutions to the Cauchy problem ⎨ ρ(x) ∂tu = ∆um in Q: = Rn × R+ u(x, 0) = u0 in dimensions n ≥ 3. We deal with a class of solutions having finite energy E(t) = Rn ρ(x)u(x, t) dx ..."
Abstract

Cited by 10 (1 self)
 Add to MetaCart
(Communicated by the associate editor name) Abstract. We study the questions of existence and uniqueness of nonnegative solutions to the Cauchy problem ⎨ ρ(x) ∂tu = ∆um in Q: = Rn × R+ u(x, 0) = u0 in dimensions n ≥ 3. We deal with a class of solutions having finite energy E(t) = Rn ρ(x)u(x, t
The Dipole Solution For The Porous Medium Equation In Several Space Dimensions
 Scuola Norm. Sup. Pisa Cl. Sci
"... We establish the existence and uniqueness of the Dipole Solution of the porous medium equation (PME), i.e. the solution of u t = \Delta(juj m\Gamma1 u) ; in Q = f(x; t) : x = (x i ) 2 R N ; t ? 0g ; with m ? 1 and initial value u(x; 0) = M @ @x 1 ffi(x) ; where ffi is Dirac delta function i ..."
Abstract

Cited by 8 (5 self)
 Add to MetaCart
, and depends on the existence of a certain type of radially symmetric and selfsimilar solution in dimension N \Gamma 1. We also prove that any solution of the PME in a halfspace H = fx : x 1 ? 0g with zero boundary data on @H converges as t !1 to the Dipole solution with the same moment. AMS Subject
CONVERGENCE OF FINITE DIFFERENCE SCHEMES FOR CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS:
"... Abstract. A general framework is proposed for proving convergence of highorder accurate difference schemes for the approximation of conservation laws with several space variables. The standard approach deduces compactness from a BV (bounded variation) stability estimate and Helly’s theorem. In this ..."
Abstract
 Add to MetaCart
Abstract. A general framework is proposed for proving convergence of highorder accurate difference schemes for the approximation of conservation laws with several space variables. The standard approach deduces compactness from a BV (bounded variation) stability estimate and Helly’s theorem
Scalar Conservation Laws with Discontinuous Flux in Several Space Dimensions Julien
"... We deal with a scalar conservation law, set in a bounded multidimensional domain, and such that the convective term is discontinuous with respect to the space variable. We introduce a weak entropy formulation for the homogeneous Dirichlet problem associated with the firstorder reactiondiffusion ..."
Abstract
 Add to MetaCart
We deal with a scalar conservation law, set in a bounded multidimensional domain, and such that the convective term is discontinuous with respect to the space variable. We introduce a weak entropy formulation for the homogeneous Dirichlet problem associated with the firstorder reaction
WellPosedness For A Class Of Hyperbolic Systems Of Conservation Laws In Several Space Dimensions
, 2003
"... In this paper we consider a system of conservation laws in several space dimensions whose nonlinearity is due only to the modulus of the solution. This system, first considered by Keyfitz and Kranzer in one space dimension, has been recently studied by many authors. In particular, using standard met ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
In this paper we consider a system of conservation laws in several space dimensions whose nonlinearity is due only to the modulus of the solution. This system, first considered by Keyfitz and Kranzer in one space dimension, has been recently studied by many authors. In particular, using standard
Defining Virtual Reality: Dimensions Determining Telepresence
 JOURNAL OF COMMUNICATION
, 1992
"... Virtual reality (VR) is typically defined in terms of technological hardware. This paper attempts to cast a new, variablebased definition of virtual reality that can be used to classify virtual reality in relation to other media. The defintion of virtual reality is based on concepts of "presen ..."
Abstract

Cited by 534 (0 self)
 Add to MetaCart
;presence" and "telepresence," which refer to the sense of being in an environment, generated by natural or mediated means, respectively. Two technological dimensions that contribute to telepresence, vividness and interactivity, are discussed. A variety of media are classified according to these dimensions
Usability Analysis of Visual Programming Environments: a `cognitive dimensions' framework
 JOURNAL OF VISUAL LANGUAGES AND COMPUTING
, 1996
"... The cognitive dimensions framework is a broadbrush evaluation technique for interactive devices and for noninteractive notations. It sets out a small vocabulary of terms designed to capture the cognitivelyrelevant aspects of structure, and shows how they can be traded off against each other. T ..."
Abstract

Cited by 510 (13 self)
 Add to MetaCart
The cognitive dimensions framework is a broadbrush evaluation technique for interactive devices and for noninteractive notations. It sets out a small vocabulary of terms designed to capture the cognitivelyrelevant aspects of structure, and shows how they can be traded off against each other
Results 1  10
of
3,311,262