AIMS Home

Recent progress on singularities formations of some evolution partial differential equations

Organizer(s):
Name:	Affiliation:	Country:
Mohamed Ali Hamza	Imam Abdulrahman Bin Faisal University	Saudi Arabia
Nejla Nouaili	Université Paris Dauphine	France
Hatem Zaag	Université Sorbonne Paris Nord	France

Introduction:

Introduction: This special session delves into the latest advancements concerning the formation of singularities and the dynamics of solutions near singularity for several different mathematical models that involve partial differential equations (PDEs). The wide scope of this session may provide a valuable opportunity for sharing ideas and problems among specialists.

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Francisc Bozgan	NYUAD	Blow-Up Dynamics for the L^2 critical case of the 2D Zakharov-Kuznetsov equation
Charles Collot	CY Cergy Paris Universite	Singularity of the 2d Keller-Segel system formed by the collision of two collapsing solitons in interaction
Jean-Pierre Eckmann	University of Geneva	Nonlinear wave equations in Cosmology: Some results, but mostly open problems
Irfan Glogic	Bielefeld University	Stable self-similar blowup for the Keller-Segel model in three dimensions
Makram Hamouda	Imam Abdlrahman Bin Faisal University	Blow-up Dynamics in Coupled Wave Systems with Tricomi Effects and Scale-Invariant Damping
Mohamed Ali Hamza	Imam Abdulrahman Bin Faisal University	The blow-up rate for some nonlinear evolution equations in the log non-scaling invariance case
Kohei Higashi	Musashino University	Blow-up phenomena in an integrable system with a singular integral and its application to traffic flow
Tetsuya Ishiwata	Shibaura Institute of Technology	Mathematical and Numerical Studies on Blow-up Rate of Solutions to Some Quasilinear Parabolic Equation
Mokhtar KIRANE	Khalifa University	Hyperbolic inequalities in an exterior domain: A general blow-up result for degenerate hyperbolic inequalities in an exterior domain
Jie Liu	New York University Abu Dhabi	Blow-up phenomena in one-dimensional derivative nonlinear wave equations
Tatsuki Mori	Musashino University	Representation formulas for eigenvalues and eigenfunctions concerning a phase-field model
Van Tien Nguyen	National Taiwan University	Blowup solutions to the complex Ginzburg-Landau equation
Nejla Nouaili	CEREMADE Univesite Paris Dauphine PSL	Construction of type I-Log blowup for the Keller-Segel system in dimensions $3$ and $4$
Eliot Pacherie	CNRS & Cergy University	Orbital stability for the vortex pair of the Gross-Pitaevskii equation
Pavol Quittner	Comenius University, Bratislava	A priori estimates of solutions of local and nonlocal superlinear parabolic problems
Takiko Sasaki	Musashino Unversity	The lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative
Hiroyuki Takamura	Tohoku University	General theory and its optimality for nonlinear wave equations in one apace dimension
Slim Tayachi	University of Tunis El Manar	Life-span of solutions for some nonlinear parabolic problems
Tetsuji Tokihiro	Musashino University	A Blow-up theorem for discrete semilinear wave equation
Berikbol T. Torebek	Ghent University	Critical exponents for the quasilinear heat equations with combined nonlinearities
Yuta Wakasugi	Hiroshima University	Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime
David Wallauch-Hajdin	EPFL	On optimal blowup stability for wave equations
Kai Yang	Chongqing University	Numerical and analytical approaches for the blow-up dynamics for some nonlinear dispersive equations
Hatem Zaag	CNRS and Universite Sorbonne Paris Nord	Critical and subcritical blow-up for the nonlocal shadow limit of the Gierer-Meinhardt system