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Birational Geometry Using Weighted Blowing Up
This is an exposition of ideas appearing in Abramovich et al. (Functorial embedded resolution via weighted blowings up, ar**v:1906.07106, 2019),...
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Life span of blowing-up solutions to the Cauchy problem for a time-fractional Schrödinger equation
In this paper, we will consider the Cauchy problem for a time-fractional Schrödinger equation with Riemann–Liouville nonlinear fractional integral...
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Symplectic Blowing Down in Dimension Six
We establish a blowing down criterion in the context of birational symplectic geometry in dimension 6.
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Explicit Blowing Up Solutions for a Higher Order Parabolic Equation with Hessian Nonlinearity
In this work we consider a nonlinear parabolic higher order partial differential equation that has been proposed as a model for epitaxial growth....
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Finite Time Blow-Up and Chemotactic Collapse in Keller–Segel Model with Signal Consumption
The occurrence of finite time blow-up phenomenon in the Keller–Segel (KS) model has always been a significant area of interest for mathematicians....
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Global Solutions and Blowing-Up Solutions for a Nonautonomous and Nonlocal in Space Reaction-Diffusion System with Dirichlet Boundary Conditions
We give sufficient conditions for global existence and finite time blow up of positive solutions for a nonautonomous weakly coupled system with...
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On the blow-up of a normal singularity at maximal Cohen–Macaulay modules
In Raynaud and Gruson (Invent Math 13:1–89, 1971) and Raynaud (Compos Math 24:11–31, 1972) developed the theory of blowing-up an algebraic variety X ...
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Blow-up of Contact Points
In this chapter a detailed description is given of the blowing-up of a family of slow-fast vector fields at a contact point. It is the key technique...
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Direct Numerical Simulation of Supersonic Film Cooling by Tangential Blowing
Film cooling is an effective method to thermally protect the nozzle extension of rocket engines from the hot exhaust gases. A cool secondary gas is...
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On K-stability of \(\mathbb {P}^3\) blown up along a quintic elliptic curve
In this note, we study K-stability of smooth Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth...
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Blowing Up Solutions for Nonlinear Parabolic Systems with Unequal Elliptic Operators
We give sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions to a nonlinear parabolic...
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Finite Time Blow-up for Heat Flows of Self-induced Harmonic Maps
Let M n be an embedded closed submanifold of ℝ k +1 or a smooth bounded domain in ℝ n , where n ≥ 3. We show that the local smooth solution to the heat...
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