Titlebook: Mathematical Physics and Its Interactions; In Honor of the 60th Shuji Machihara Conference proceedings 2024 The Editor(s) (if applicable) a

津贴

Conference proceedings 2024ysics and Its Interactions,‘ initially scheduled for the summer of 2021 in Tokyo, Japan. It celebrates Tohru Ozawa‘s 60th birthday and his extensive contributions in many fields..The works gathered in this volume explore interactions between mathematical physics, various types of partial differentia

monopoly

,Convexity Phenomena Arising in an Area-Preserving Crystalline Curvature Flow,om a non-convex initial polygon becomes convex in a finite time. In order to show this assertion, we classify edge-disappearing patterns completely and prove that all zero-curvature edges disappear in a finite time, and we also show that evolution process of the flow can be continued beyond such edge-disappearing singularities.

Monocle

BORE

,Asymptotic Behavior in Time of Solution to System of Cubic Nonlinear Schrödinger Equations in One Sis kind of behavior seems new. Further, several examples of systems which admit solution with several types of behavior such as modified scattering, nonlinear amplification, and nonlinear dissipation, are given. We also extend our previous classification result of nonlinear cubic systems.

micronutrients

intuition

Grating

,Remarks on Blow up of Solutions of Nonlinear Wave Equations in Friedmann-Lemaître-Robertson-Walker Consider nonlinear wave equations in the spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetimes. We improve some upper bounds of the lifespan of blow-up solutions for the power nonlinearity. We also show upper bounds of the lifespan in the critical cases for the time derivative nonlinearity.

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NUDGE

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