New Analysis of PDEs papers from arxiv.org: existence and uniqueness. Thank you to arXiv for use of its open access interoperability.
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Bounds on the growth of high Sobolev norms of solutions to the fractional nonlinear Schrödinger equation on ℝ² and ℝ³
Antonios Kapetanios, José L. Rodrigo, Vedran Sohinger
arxiv.org/abs/2606.14384 [𝚖𝚊𝚝𝚑.𝙰𝙿]
Non-uniqueness of global-in-time admissible weak solutions to the isentropic compressible Euler equations for a dense set of initial data
Daniel W. Boutros, Simon Markfelder
arxiv.org/abs/2606.14308 [𝚖𝚊𝚝𝚑.𝙰𝙿]
3
Diffuse Adiabatic Flows in Thermally Coupled Grounded Shallow Ice Sheets: Modelling and Analysis
Paolo Piersanti
arxiv.org/abs/2606.14258 [𝚖𝚊𝚝𝚑.𝙰𝙿]
1
Time-asymptotic stability of viscous shocks for the outflow problem of one-dimensional compressible fluids of Korteweg type
Sungho Han, Jeongho Kim, HyeonSeop Oh
arxiv.org/abs/2606.14247 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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Nonlinear stability and optimal decay rate of the planar entropy wave for Landau equation
Renjun Duan, Feimin Huang, Rui Li, Lingda Xu
arxiv.org/abs/2606.14158 [𝚖𝚊𝚝𝚑.𝙰𝙿]
29
Symmetry breaking for the complex sine-Gordon equation
Shibing Chen, Changfeng Gui, Yong Liu, Jianmin Yang, Wen Yang
arxiv.org/abs/2606.14104 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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Spreading speeds for prey–predator systems in a shifting environment: a short proof
Zhucheng Jin
arxiv.org/abs/2606.14059 [𝚖𝚊𝚝𝚑.𝙰𝙿]
2
The sharp lifespan of small data smooth solutions to 2-D quadratic quasilinear wave equations in exterior domains
Bingbing Ding, Fei Hou, Huicheng Yin
arxiv.org/abs/2606.13996 [𝚖𝚊𝚝𝚑.𝙰𝙿]
1
Inverse Problems for the Monge–Ampère Equation: Linearization and Nonlinear Recovery
Gunther Uhlmann, Philipp Zimmermann
arxiv.org/abs/2606.13939 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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Maximizers for the Singular Trudinger-Moser functional beyond the critical regime
José Francisco de Oliveira, Manassés de Souza, Everaldo Medeiros
arxiv.org/abs/2606.13937 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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A new resolution space for nonlinear Schrödinger equations and applications
Ioan Bejenaru
arxiv.org/abs/2606.13927 [𝚖𝚊𝚝𝚑.𝙰𝙿]
Critical Ledgers and Scale-Defect Cascades for Navier-Stokes
Runlong Yu
arxiv.org/abs/2606.13887 [𝚖𝚊𝚝𝚑.𝙰𝙿]
1
Hadamard ill-Posedness of the linearised Prandtl Equations in Gevrey spaces
Francesco De Anna, Joshua Kortum
arxiv.org/abs/2606.13542 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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A symmetry theorem for localizable steady solutions of the 3D Euler equations
Daniel Peralta-Salas, Radu Slobodeanu
arxiv.org/abs/2606.13462 [𝚖𝚊𝚝𝚑.𝙰𝙿 𝚖𝚊𝚝𝚑-𝚙𝚑 𝚖𝚊𝚝𝚑.𝙼𝙿 𝚙𝚑𝚢𝚜𝚒𝚌𝚜.𝚙𝚕𝚊𝚜𝚖-𝚙𝚑]
8
Mixed Torsion on Right Triangles and the Pólya–Szegő Monotonicity Problem for Regular Polygons
Changfeng Gui, Yeyao Hu, Qinfeng Li, Chenyang Zhang
arxiv.org/abs/2606.13448 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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Reconstruction for an inverse scattering problem with a Kerr type nonlinearity
Khaoula El Maddah, Matti Lassas, Tony Liimatainen, Valter Pohjola, Teemu Tyni
arxiv.org/abs/2606.13337 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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Analysis of a nonisothermal Maxwell–Stefan system with degenerate thermal conductivity
Stefanos Georgiadis
arxiv.org/abs/2606.13235 [𝚖𝚊𝚝𝚑.𝙰𝙿]
6
Global Well-posedness and Regularity of the Dynamical Prandtl Equation
Hao Jia, Zhen Lei, Cheng Yuan
arxiv.org/abs/2606.13134 [𝚖𝚊𝚝𝚑.𝙰𝙿]
48
Uniqueness of the dissipative SQG without time-continuity assumption
Taiki Okazaki
arxiv.org/abs/2606.13065 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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Propagation Dynamics for Multidimensional Nonlocal Diffusion Equations: A General Freidlin-Gärtner Formula
Hongjun Guo, Wan-Tong Li, Biao Liu
arxiv.org/abs/2606.13050 [𝚖𝚊𝚝𝚑.𝙰𝙿]
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