The next meeting of the seminar on Differential Equations and Mathematical Physics will be held online on June 22, 2022, at 2 p.m. (UTC+3). A talk on On Contact Defects in Reaction-Diffusion Systems will be delivered by Dr. Milen Ivanov. Abstract: Solutions of reaction-diffusion systems exhibit a wide variety of patterns like spirals, stripes and Turing patterns. In particular, the Belousov-Zhabotinsky (BZ) reaction produces spiral patterns, which may undergo a period-doubling bifurcation; then a line defect is emitted from the center of the spiral and along it the pattern jumps half a period. In order to study this phenomenon, we consider the so-called contact defects, studied by Sandstede and Scheel: functions, which converge (in an appropriate sense) to a periodic function as x→±∞. Of [...]

 The next meeting of the seminar on Differential Equations and Mathematical Physics will be held online on February 2, 2022, at 2 p.m. (UTC+2). A talk on Gravitational waves will be delivered by Prof. Stoycho Yazadzhiev, Corresponding Member of the Bulgarian Academy of Sciences. Join Zoom Meeting: https://us02web.zoom.us/j/83722401255?pwd=RjMzK09KMDZad0JMcjA4cXFnZ0IxQT09 Meeting ID: 837 2240 1255 Passcode: 552506 Department of Differential Equations and Mathematical Physics

The next meeting of the Differential Equations and Mathematical Physics Seminar will be held online via Zoom on  October 27, 2021, at 2:00 p.m. (UCT+3). A talk on: Continuous-time additive Hopfield-type neural networks with impulses in memory of Prof. Valeriy Kovachev, will be delivered by Prof. Haydar Akca, Abu Dhabi University. Join Zoom Meeting: https://us02web.zoom.us/j/82525913777?pwd=dWg5UzdNRWhqcmdBWXJ4VEEvWmg1QT09 Meeting ID: 825 2591 3777 Passcode: 778070 Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations and Mathematical Physics Seminar will be held online via Zoom on  October 6, 2021, at 2:00 p.m. A talk on: On the stability of hyperbolic differential and difference equations with unbounded time delay term in memory of Prof. Valeriy Kovachev, will be delivered by Prof. Dr. Allaberen Ashyralyev, Near East University Lefkoşa(Nicosia), Mersin 10 Turkey. Join Zoom Meeting: https://us02web.zoom.us/j/84135142057?pwd=VVVCbnhrYmVtNWMzVEt2NDI1eDZtdz09 Meeting ID: 841 3514 2057 Passcode: 552361 Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations and Mathematical Physics Seminar will be held online via Zoom on  January 20, 2021, at 2:15 p.m. A talk on: Intersecting Null Cones and Mathematical Modeling of GPS, GLONASS Intersatellite Communications in the Gravitational Field of Near-Earth Space with Account of General Relativity Theory will be delivered by Dr. Bogdan Dimitrov, Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences. Join Zoom Meeting: https://us02web.zoom.us/j/87368542312?pwd=ZkRZTkp6aTl0U0o0UlZ2L0h3Q0lBZz09 Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations Seminar will be held on  June 17, 2020, at 2:00 p.m. in Room 478 of IMI-BAS. Acad. Peter Popivanov and Prof. Anjela Slavova will deliver lectures on: THE NOBEL PRIZE IN PHYSICS FOR 2019 THE ABEL PRIZE IN MATHEMATICS FOR 2020 Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations Seminar will be held on  March 11, 2020, at 2:00 p.m. in Room 478 of IMI-BAS. Acad. Peter Popivanov will deliver a lecture in memory of Louis Nirenberg (1925 - 2020). An overview of some outstanding results of Prof. Nirenberg in the field of partial differential equations will be made.   Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations Seminar will be held on February 11, 2020, at 2:00 p.m. in Room 478 of IMI-BAS.  Dr. Mirko Tarulli, will deliver a lecture on: DECAY AND SCATTERING IN ENERGY SPACE FOR THE SOLUTION OF GENERALIZED HARTREE EQUATION Abstract. We prove decay with respect some Lebesgue norms for a class of Schrödinger equations with non-local nonlinearities by showing new Morawetz inequalities and estimates. As a straightforward product we obtain large-data scattering in the energy space for the solutions to the defocusing generalized Hartre equations with mass-energy intercritical nonlinearities in any space dimensions. Department of Differential Equations and Mathematical hysics

The next meeting of the Differential Equations Seminar will be held on December 9, 2019, at 2:00 p.m. in Room 478 of IMI-BAS.  Prof. Nicola Visciglia (University of Pisa), will deliver a lecture on: GROWTH PHENOMENA FOR DISPERSIVE EQUATIONS Abstract. We present a series of joint works with N. Tzvetkov. We shall discuss the growth of Sobolev norms in the periodic setting and the growth of moments in the Euclidean setting. In this last case we also get the precise asymptotic behavior for large times. Department of Differential Equations and Mathematical hysics