Abstract. We consider a special type of a hyperbolic system and show that classical solutions blow up in finite time even for small initial data. 2000 Mathematics Subject Classification. 35L45. 1. Introduction. Fo
In chapter 1 we prove that for the parabolic initial value prob- lem u(,t) = (DELTA)u + (delta)f(u) ...
Abstract. In this article interactions of singularities in semilinear hyperbolic partial dierential ...
In this paper we consider a class of quasilinear, non-strictly hyperbolic 2 x 2 systems in two space...
Abstract. We consider a special type of a hyperbolic system and show that classical solutions blow u...
AbstractUsing the method of new characteristic coordinates and the singularity theory of smooth mapp...
We present some results on the formation of singularities for C^1 -solutions of the quasi-linear N ×...
An important question in mathematical relativity theory is that of the nature of spacetime singulari...
AbstractWe study the development of singularities of classical solutions of quasilinear strictly hyp...
Abstract. We present some results on the formation of singularities for C1-solutions of the quasi-li...
Shocks form in finite time in systems of quasilinear hyperbolic equations in one space variable whic...
This is the second volume in the University Lecture Series, designed to make more widely available s...
We construct weak solutions of 3×3 conservation laws which blow up in finite time. The system is str...
. In this article interactions of singularities in semilinear hyperbolic partial differential equati...
International audienceQualitative properties of solutions blowing up in finite time are obtained for...
(Communicated by Alberto Bressan) Abstract. We construct a class of 3 × 3 systems of conservation la...
In chapter 1 we prove that for the parabolic initial value prob- lem u(,t) = (DELTA)u + (delta)f(u) ...
Abstract. In this article interactions of singularities in semilinear hyperbolic partial dierential ...
In this paper we consider a class of quasilinear, non-strictly hyperbolic 2 x 2 systems in two space...
Abstract. We consider a special type of a hyperbolic system and show that classical solutions blow u...
AbstractUsing the method of new characteristic coordinates and the singularity theory of smooth mapp...
We present some results on the formation of singularities for C^1 -solutions of the quasi-linear N ×...
An important question in mathematical relativity theory is that of the nature of spacetime singulari...
AbstractWe study the development of singularities of classical solutions of quasilinear strictly hyp...
Abstract. We present some results on the formation of singularities for C1-solutions of the quasi-li...
Shocks form in finite time in systems of quasilinear hyperbolic equations in one space variable whic...
This is the second volume in the University Lecture Series, designed to make more widely available s...
We construct weak solutions of 3×3 conservation laws which blow up in finite time. The system is str...
. In this article interactions of singularities in semilinear hyperbolic partial differential equati...
International audienceQualitative properties of solutions blowing up in finite time are obtained for...
(Communicated by Alberto Bressan) Abstract. We construct a class of 3 × 3 systems of conservation la...
In chapter 1 we prove that for the parabolic initial value prob- lem u(,t) = (DELTA)u + (delta)f(u) ...
Abstract. In this article interactions of singularities in semilinear hyperbolic partial dierential ...
In this paper we consider a class of quasilinear, non-strictly hyperbolic 2 x 2 systems in two space...