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math.AP2025
Rate of convergence to equilibrium for the heated string
Tomasz Cieślak, Jacek Jendrej, Christian Stinner
In the present manuscript, we calculate the exponential rate of convergence of the heated string system (a mixed-type hyperbolic-parabolic system of PDEs) towards the equilibrium,…
math.AP2025
Concentric bubbles concentrating in finite time for the energy critical wave maps equation
Jacek Jendrej, Joachim Krieger
We show that the energy critical Wave Maps equation from to and restricted to the co-rotational setting with co-rotation index admits fini…
math.AP2025
Scalar behavior for a complex multi-soliton arising in blow-up for a semilinear wave equation
Asma Azaiez, Jacek Jendrej, Hatem Zaag
This paper deals with blow-up for the complex-valued semilinear wave equation with power nonlinearity in dimension 1. Up to a rotation of the solution in the complex plane, we show…