Normalized Solutions to Quasilinear Choquard Equations With a Local Perturbation
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DOI: 10.1002/mma.11212
Abstract: In this paper, we study the Choquard equation involving the p$$ p $$ ‐Laplacian operator with a Lp$$ {L}^p $$ ‐norm constraint. We present Gagliardo‐Nirenberg inequality of Hartree type with best constant in the p$$… read more here.
Keywords: equations local; solutions quasilinear; perturbation; choquard equations ... See more keywords
On the Local Type I Conditions for the 3D Euler Equations
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DOI: 10.1007/s00205-018-1254-0
Abstract: AbstractWe prove local non blow-up theorems for the 3D incompressible Euler equations under local Type I conditions. More specifically, for a classical solution $${v\in L^\infty (-1,0; L^2 ( B(x_0,r)))\cap L^\infty_{{\rm loc}} (-1,0; W^{1, \infty} (B(x_0,… read more here.
Keywords: type conditions; equations local; euler equations; local type ... See more keywords
Characteristic discontinuous Galerkin method for fractional diffusion equations with local memory in nonstatic media
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DOI: 10.1063/5.0260459
Abstract: In this paper, a class of fractional diffusion equations with local memory in nonstatic media (viscous incompressible fluids) are proposed, and then, we numerically study the equations. The characteristic method and L1 scheme are used… read more here.
Keywords: method; fractional diffusion; diffusion equations; equations local ... See more keywords