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of 39
pro vyhledávání: '"Risler, Emmanuel"'
For nonlinear parabolic gradient systems of the form \[ u_t = -\nabla V(u) + u_{xx} \,, \] where the spatial domain is the whole real line, the state variable $u$ is multidimensional, and the potential function $V$ is coercive at infinity, the follow
Externí odkaz:
http://arxiv.org/abs/2312.10427
This article addresses the issue of global convergence towards pushed travelling fronts for solutions of parabolic systems of the form \[ u_t = - \nabla V(u) + u_{xx} \,, \] where the potential $V$ is coercive at infinity. It is proved that, if an in
Externí odkaz:
http://arxiv.org/abs/2306.04413
Autor:
Risler, Emmanuel
This paper is devoted to the generic transversality of radially symmetric stationary solutions of nonlinear parabolic systems of the form \[ \partial_t w(x,t) = -\nabla V\bigl(w((x,t))\bigr) + \Delta_x w(x,t) \,, \] where the space variable $x$ is mu
Externí odkaz:
http://arxiv.org/abs/2301.02605
Autor:
Joly, Romain, Risler, Emmanuel
For nonlinear parabolic systems of the form \[ \partial_t w(x,t) = \partial_{x}^2 w(x,t) - \nabla V\bigl(w(x,t)\bigr) \,, \] the following conclusions are proved to hold generically with respect to the potential $V$: every travelling front invading a
Externí odkaz:
http://arxiv.org/abs/2301.02095
Autor:
Risler, Emmanuel
This paper is concerned with parabolic gradient systems of the form \[ u_t = -\nabla V(u) + \Delta_x u \,, \] where the space variable $x$ and the state variable $u$ are multidimensional, and the potential $V$ is coercive at infinity. For such system
Externí odkaz:
http://arxiv.org/abs/2206.06288
Autor:
Risler, Emmanuel
This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing front. The first order variation of the speed of this front when the s
Externí odkaz:
http://arxiv.org/abs/1703.02159
Autor:
Risler, Emmanuel
This paper is concerned with radially symmetric solutions of systems of the form \[ u_t = -\nabla V(u) + \Delta_x u \] where space variable $x$ and and state-parameter $u$ are multidimensional, and the potential $V$ is coercive at infinity. For such
Externí odkaz:
http://arxiv.org/abs/1703.02134
Autor:
Réocreux, Guillaume, Risler, Emmanuel
The "nonlinear complex heat equation" $A_t=i|A|^2A+A_{xx}$ was introduced by P. Coullet and L. Kramer as a model equation exhibiting travelling fronts induced by non-variational effects, called "retracting fronts". In this paper we study the existenc
Externí odkaz:
http://arxiv.org/abs/1703.01593
Autor:
Risler, Emmanuel
This paper is concerned with damped hyperbolic gradient systems of the form \[ \alpha u_{tt} + u_t = -\nabla V(u) + u_{xx}\,, \] where the spatial domain is the whole real line, the state variable $u$ is multidimensional, $\alpha$ is a positive quant
Externí odkaz:
http://arxiv.org/abs/1703.01221
Autor:
Risler, Emmanuel
This paper is concerned with parabolic gradient systems of the form \[ u_t=-\nabla V (u) + u_{xx}\,, \] where the spatial domain is the whole real line, the state variable $u$ is multidimensional, and the potential $V$ is coercive at infinity. For su
Externí odkaz:
http://arxiv.org/abs/1604.02002