LAUSR

Local well‐posedness for an isentropic compressible Ginzburg–Landau–Navier–Stokes with vacuum

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0 Published in 2021 at "Mathematische Nachrichten"

DOI: 10.1002/mana.201900249

Abstract: In this work, we prove the local well‐posedness of local strong solutions to an isentropic compressible Ginzburg–Landau–Navier–Stokes system with vacuum in a bounded domain Ω⊂R3 . read more here.

Keywords: landau navier; isentropic compressible; ginzburg landau; compressible ginzburg ... See more keywords

Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up

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1 Published in 2022 at "Mathematische Annalen"

DOI: 10.1007/s00208-022-02396-7

Abstract: In the first part of this work we study the local well-posedness of dispersive equations in the weighted spaces H(R) ∩ L(|x|dx). We then apply our results for several dispersive models such as the Hirota-Satsuma… read more here.

Keywords: weighted sobolev; dispersive blow; dispersive equations; local well ... See more keywords

On the Parabolic and Hyperbolic Liouville Equations

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0 Published in 2021 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-021-04125-8

Abstract: We study the two-dimensional stochastic nonlinear heat equation (SNLH) and stochastic damped nonlinear wave equation (SdNLW) with an exponential nonlinearity $$\lambda \beta e^{\beta u }$$ λ β e β u , forced by an additive… read more here.

Keywords: sdnlw; gaussian multiplicative; beta; well posedness ... See more keywords

Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids

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1 Published in 2020 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2020.04.029

Abstract: Abstract In the current paper, we are concerned with waves propagating through the deformation of a thin elastic sheet between two incompressible and inviscid fluids, which are usually called hydroelastic waves in the literature to… read more here.

Keywords: hydroelastic waves; two incompressible; well posedness; local well ... See more keywords

Probabilistic Local Well-Posedness for the Schrödinger Equation Posed for the Grushin Laplacian

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1 Published in 2022 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2022.109519

Abstract: We study the local well-posedness of the nonlinear Schrödinger equation associated to the Grushin operator with random initial data. To the best of our knowledge, no wellposedness result is known in the Sobolev spaces H… read more here.

Keywords: schr dinger; well posedness; local well; dinger equation ... See more keywords

Local well-posedness in the critical Besov space and blow-up for an n-component Camassa–Holm system

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1 Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.125423

Abstract: Abstract In this paper, the Cauchy problem of an n-component Camassa–Holm system is considered. The local well-posedness in the critical Besov space ( B 2 , 1 3 2 ) n is established, and it… read more here.

Keywords: camassa holm; system; component camassa; holm system ... See more keywords

Local well-posedness and small data scattering for energy super-critical nonlinear wave equations

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0 Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1616084

Abstract: In this work, we consider the following nonlinear wave equations We prove that when and The Cauchy problem is locally well-posed in with . Moreover, the small data theory holds under the same restriction. read more here.

Keywords: posedness small; well posedness; local well; small data ... See more keywords

Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type

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1 Published in 2022 at "The Scientific World Journal"

DOI: 10.1155/2022/5891265

Abstract: In this paper, we show the local well-posedness for the Cauchy problem for the equation of the Nagumo type in this equation (1) in the Sobolev spaces Hs(ℝ). If D > 0, the local well-posedness… read more here.

Keywords: local well; cauchy problem; posedness cauchy; problem equation ... See more keywords