Results 21 to 30 of about 8,875,167 (275)
Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs
We extend recent existence and uniqueness results for maximal solutions of SPDEs through an improved blow-up criterion. Whilst the maximal time of existence is typically characterised by blow-up in the energy norm of solutions, we show instead that solutions exist until blow-up in the larger spaces of the variational framework. The result is applied to
Goodair, Daniel
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle [PDF]
SIAM Journal on Mathematical Analysis, 2020 We prove a blow-up criterion in terms of an $L_2$-bound of the curvature for solutions to the curve diffusion flow if the maximal time of existence is finite. In our setting, we consider an evolving family of curves driven by curve diffusion flow, which has free boundary points supported on a line.
Helmut Abels, Julia Butz
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Blow up for the critical gKdV equation III: exotic regimes
, 2015 International audienceWe consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow up rate for solutions close to the solitons with ...
Merle, Frank +2 more
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Blow‐up criterion for compressible Navier–Stokes equations with degenerate viscosities [PDF]
Mathematical Methods in the Applied Sciences, 2022 In this paper, a blow‐up criterion of classical solutions to the Cauchy problem for the compressible Navier–Stokes equations with degenerate viscosities is established, as well as the shallow water equations. Moreover, we prove that the maximum norm of the gradient of velocity controls the possible breakdown of regular solutions for compressible Navier–
wenjing song, Wenhuo Su
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On the Blow-up Criterion of 3D-NSE in Sobolev–Gevrey Spaces [PDF]
Journal of Mathematical Fluid Mechanics, 2016 15 ...
Benameur, Jamel, Jlali, Lotfi
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On blow-up criterion for the nonlinear Schrödinger equation
Discrete and Continuous Dynamical Systems, 2016 In this version, we add a reference, and change some expressions in ...
Du, Dapeng, Wu, Yifei, Zhang, Kaijun
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A new blow-up criterion for Gross–Pitaevskii equation
Applied Mathematics Letters, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ZhongTao Yue +2 more
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A New Blow-Up Criterion to a Singular Non-Newton Polytropic Filtration Equation
Mathematics, 2023 In this paper, a singular non-Newton polytropic filtration equation under the initial-boundary value condition is revisited. The finite time blow-up results were discussed when the initial energy E(u0) was subcritical (E(u0)d), with d being the potential
Qingwei Li, Menglan Liao
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Blow-up criterion for the incompressible viscoelastic flows
Journal of Functional Analysis, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng, Zefu, Zhu, Changjiang, Zi, Ruizhao
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