Add to ORKGNonlinear operations such as multiplication of distributions are not allowed in the classical theory of distributions. As a result, some ambiguities arise when we want to solve nonlinear partial differential equations such as differential equations of elasticity and multifluid flows, or some new cosmological models such as signature changing space-times. Colombeau’s new theory of generalized functions can be used to remove these ambiguities. In this paper, we first consider a simplified model of elasticity and multifluid flows in the framework of Colombeau’s theory and show how one can handle such problems, investigate their jump conditions, and resolve their ambiguities. Then we consider as a new proposal the case of cosmological models wi...
In this article we look at the extent to which one can use classical linear distributional geometry ...
Evidently, the linear superposition principle can not be exactly established as a general principle ...
In this article, we apply the new generalized (G′/G)-expansion method to solve two nonlinear partial...
Nonlinear operations such as multiplication of distributions are not allowed in the classical theory...
Nonlinear operations such as multiplication of distributions are not allowed in the classical theory...
We review the extent to which one can use classical distribution theory in describing solutions of E...
In this paper we review the extent to which one can use classical distribution theory in describing ...
The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the...
We expose some simple facts at the interplay between mathematics and the real world, putting in evid...
In this article we study the existence of shock wave solutions for systems of partial differential e...
The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the...
In these lecture notes we present an introduction to non-standard analysis especially written for th...
Let T stand for the usual topology on Rd. J.F. Colombeau’s non-linear theory of generalized function...
This book deals with Colombeau solutions to Einstein field equations in general relativity: Gravitat...
AbstractIn this article, we apply the new generalized (G′/G)-expansion method to solve two nonlinear...
In this article we look at the extent to which one can use classical linear distributional geometry ...
Evidently, the linear superposition principle can not be exactly established as a general principle ...
In this article, we apply the new generalized (G′/G)-expansion method to solve two nonlinear partial...
Nonlinear operations such as multiplication of distributions are not allowed in the classical theory...
Nonlinear operations such as multiplication of distributions are not allowed in the classical theory...
We review the extent to which one can use classical distribution theory in describing solutions of E...
In this paper we review the extent to which one can use classical distribution theory in describing ...
The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the...
We expose some simple facts at the interplay between mathematics and the real world, putting in evid...
In this article we study the existence of shock wave solutions for systems of partial differential e...
The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the...
In these lecture notes we present an introduction to non-standard analysis especially written for th...
Let T stand for the usual topology on Rd. J.F. Colombeau’s non-linear theory of generalized function...
This book deals with Colombeau solutions to Einstein field equations in general relativity: Gravitat...
AbstractIn this article, we apply the new generalized (G′/G)-expansion method to solve two nonlinear...
In this article we look at the extent to which one can use classical linear distributional geometry ...
Evidently, the linear superposition principle can not be exactly established as a general principle ...
In this article, we apply the new generalized (G′/G)-expansion method to solve two nonlinear partial...