Ilmari Kangasniemi, Jani Onninen: Values of Finite Distortion: Continuity https://arxiv.org/abs/2509.20326 https://arxiv.org/pdf/2509.20326 https://arxiv.org/html/2509.20326

Rapha\"el Gautier: Wigner measure approach to the derivation of the Landau-Pekar equations in the mean-field limit https://arxiv.org/abs/2509.20043 https://arxiv.org/pdf/2509.20043 https://arxiv.org/html/2509.20043

Juan L\'imaco, Jo\~ao Carlos Barreira, Suerlan Silva, Luis P. Yapu: Hierarchical null controllability of a degenerate parabolic equation with nonlocal coefficient https://arxiv.org/abs/2509.19505 https://arxiv.org/pdf/2509.19505 https://arxiv.org/html/2509.19505

Zhenhao Li, Jian Wang, Jared Wunsch: Evolution of internal waves in a 2D subcritical channel https://arxiv.org/abs/2509.20327 https://arxiv.org/pdf/2509.20327 https://arxiv.org/html/2509.20327

Pierluigi Colli, Gianni Gilardi, Andrea Signori, J\"urgen Sprekels: On Brinkman flows with curvature-induced phase separation in binary mixtures https://arxiv.org/abs/2509.20282 https://arxiv.org/pdf/2509.20282 https://arxiv.org/html/2509.20282

Fengliu Li, Giusi Vaira, Juncheng Wei, Yuanze Wu: On Brezis-Nirenberg problems: open questions and new results in dimension six https://arxiv.org/abs/2509.19863 https://arxiv.org/pdf/2509.19863 https://arxiv.org/html/2509.19863

Dinh Van Duong, Trung Loc Tang: On the asymptotic profile of solutions to semilinear damped wave equations with critical nonlinearities https://arxiv.org/abs/2509.19835 https://arxiv.org/pdf/2509.19835 https://arxiv.org/html/2509.19835

Nangao Zhang: Boundary effect on asymptotic behaviour of solution to the hyperbolic-parabolic chemotaxis system https://arxiv.org/abs/2509.19828 https://arxiv.org/pdf/2509.19828 https://arxiv.org/html/2509.19828

Narek Hovsepyan, Michael S. Vogelius: Scattering of plane waves https://arxiv.org/abs/2509.19716 https://arxiv.org/pdf/2509.19716 https://arxiv.org/html/2509.19716

Messoud Efendiev, Vitali Vougalter: The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian https://arxiv.org/abs/2509.19520 https://arxiv.org/pdf/2509.19520 https://arxiv.org/html/2509.19520

Jiwoong Jang: Existence of flat flows for volume-preserving mean curvature flow with contact angle https://arxiv.org/abs/2509.19470 https://arxiv.org/pdf/2509.19470 https://arxiv.org/html/2509.19470

[2025-09-25 Thu (UTC), 8 new articles found for mathAP Analysis of PDEs]

Rupert L. Frank, Ari Laptev, Durvudkhan Suragan: Eigenvalue lower bounds through a generalized inradius https://arxiv.org/abs/2509.18878 https://arxiv.org/pdf/2509.18878 https://arxiv.org/html/2509.18878

Adrian Chun-Pong Chu, Daniel Stern: Minimal surface doublings and electrostatics for Schr\"odinger operators https://arxiv.org/abs/2509.18630 https://arxiv.org/pdf/2509.18630 https://arxiv.org/html/2509.18630

Juan Pablo Borthagaray, Nahuel de Le\'on: A mixed formulation for the fractional Poisson problem https://arxiv.org/abs/2509.18348 https://arxiv.org/pdf/2509.18348 https://arxiv.org/html/2509.18348

V\'ictor Navarro-Fern\'andez, David Villringer: Spectral instability in the smooth Ponomarenko dynamo https://arxiv.org/abs/2509.19201 https://arxiv.org/pdf/2509.19201 https://arxiv.org/html/2509.19201

Csaba Farkas, S\'andor Kaj\'ant\'o: Higher-order Sobolev and Rellich inequalities via iterated Talenti's principle https://arxiv.org/abs/2509.19198 https://arxiv.org/pdf/2509.19198 https://arxiv.org/html/2509.19198

Hussein Cheikh Ali, Bruno Premoselli: Least-energy solutions of the Br\'ezis-Nirenberg problem in the non-coercive case in dimension $3$ https://arxiv.org/abs/2509.19145 https://arxiv.org/pdf/2509.19145 https://arxiv.org/html/2509.19145

Jasper Hoeksema, Riccarda Rossi, Oliver Tse: Singular jump processes as generalized gradient flows https://arxiv.org/abs/2509.19138 https://arxiv.org/pdf/2509.19138 https://arxiv.org/html/2509.19138

Leyun Wu, Chilin Zhang: Phase transitions in two-component Bose-Einstein condensates (I): The De Giorgi conjecture for the local problem in $\mathbb{R}^{3}$ https://arxiv.org/abs/2509.19124 https://arxiv.org/pdf/2509.19124 https://arxiv.org/html/2509.19124

Wolfgang Arendt, A. F. M. ter Elst, Manfred Sauter: Elliptic systems generating a positive semigroup are decoupled https://arxiv.org/abs/2509.19055 https://arxiv.org/pdf/2509.19055 https://arxiv.org/html/2509.19055

Darko Mitrovic: Well posedness for multidimensional scalar conservation laws with discontinuous non-degenerate flux https://arxiv.org/abs/2509.19043 https://arxiv.org/pdf/2509.19043 https://arxiv.org/html/2509.19043

Peng Lu, Yuanyuan Qiao: Global well-posedness and large-time behavior for three-dimensional magneto-micropolar equations with horizontal dissipation https://arxiv.org/abs/2509.19015 https://arxiv.org/pdf/2509.19015 https://arxiv.org/html/2509.19015

J\'er\'emy Faupin, Ingrid Lacroix-Violet, Julien Lequeurre: Global weak solutions to the Quantum Navier-Stokes system in the whole space with a confining external potential https://arxiv.org/abs/2509.19014 https://arxiv.org/pdf/2509.19014 https://arxiv.org/html/2509.19014

Matti Lassas, Boya Liu, Teemu Saksala, Andrew Shedlock, Ziyao Zhao: A Hyperbolic Inverse Problem for lower order terms on a closed manifold with disjoint data https://arxiv.org/abs/2509.19008 https://arxiv.org/pdf/2509.19008 https://arxiv.org/html/2509.19008

Christina Schenk, Jacobo Ayensa Jim\'enez, Ignacio Romero: Bayesian Calibration and Model Assessment of Cell Migration Dynamics with Surrogate Model Integration https://arxiv.org/abs/2509.18998 https://arxiv.org/pdf/2509.18998 https://arxiv.org/html/2509.18998

Bru\`e Elia, Camillo De Lellis: Some rigorous remarks on Migdal's momentum loop equation https://arxiv.org/abs/2509.18992 https://arxiv.org/pdf/2509.18992 https://arxiv.org/html/2509.18992

Hind Ghazi Hameed, Burhan Selcuk, Maan A. Rasheed: Blow-Up Results of Time Fractional Heat Equation With Nonlinear Neumann Boundary Conditions https://arxiv.org/abs/2509.18927 https://arxiv.org/pdf/2509.18927 https://arxiv.org/html/2509.18927

A. S. Mikhaylov, V. S. Mikhaylov: On the Weyl function for complex Jacobi matrices https://arxiv.org/abs/2509.18873 https://arxiv.org/pdf/2509.18873 https://arxiv.org/html/2509.18873

Simone Mauro, Delia Schiera, Hugo Tavares: Least Energy Solutions for Cooperative and Competitive Schr\"odinger Systems with Neumann Boundary Conditions https://arxiv.org/abs/2509.18835 https://arxiv.org/pdf/2509.18835 https://arxiv.org/html/2509.18835

J{\o}rgen Endal (NTNU), Espen R Jakobsen (NTNU), Ola M{\ae}hlen (LMO): Nonlocal degenerate parabolic hyperbolic equations on bounded domains. Part II: Existence https://arxiv.org/abs/2509.18797 https://arxiv.org/pdf/2509.18797 https://arxiv.org/html/2509.18797

Shikun Cui, Lili Wang, Wendong Wang, Juncheng Wei, Guoxu Yang: Global bounded solutions of the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow and logistic source https://arxiv.org/abs/2509.18718 https://arxiv.org/pdf/2509.18718 https://arxiv.org/html/2509.18718

Md Shah Alam, Jeff Morgan Md: Global Existence of Solutions for A Class of Nonlocal Reaction-Diffusion Systems and Their Diffusive Limit https://arxiv.org/abs/2509.18645 https://arxiv.org/pdf/2509.18645 https://arxiv.org/html/2509.18645

Ruimeng Hu, Qirui Peng, Xu Yang: Well-posedness of the Electron MHD with random diffusion https://arxiv.org/abs/2509.18640 https://arxiv.org/pdf/2509.18640 https://arxiv.org/html/2509.18640

Stan Palasek: Arbitrary norm growth in the 3D Navier-Stokes equations https://arxiv.org/abs/2509.18595 https://arxiv.org/pdf/2509.18595 https://arxiv.org/html/2509.18595

Sekhar Ghosh, Tianxiang Gou, Vishvesh Kumar, Vicentiu D. Radulescu: Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified L... https://arxiv.org/abs/2509.18587 https://arxiv.org/pdf/2509.18587 https://arxiv.org/html/2509.18587

Bekarys Bekmaganbetov, Hongjie Dong: Singular-degenerate parabolic systems with the conormal boundary condition on the upper half space https://arxiv.org/abs/2509.18418 https://arxiv.org/pdf/2509.18418 https://arxiv.org/html/2509.18418

[2025-09-24 Wed (UTC), 22 new articles found for mathAP Analysis of PDEs]

Gengyu Liu, Jianlu Zhang: Generalized comparison principle for contact Hamilton-Jacobi equations https://arxiv.org/abs/2509.17310 https://arxiv.org/pdf/2509.17310 https://arxiv.org/html/2509.17310

Gersena Banushi, Kenichi Soga: Transition Frequencies and Dynamic Amplification of Buried Lifelines: A Semi-Analytical Timoshenko Beam on Winkler Foundation Model https://arxiv.org/abs/2509.16906 https://arxiv.org/pdf/2509.16906 https://arxiv.org/html/2509.16906

Qi Sun: Huisken's Distance Comparison Principle in Higher Codimension https://arxiv.org/abs/2509.16823 https://arxiv.org/pdf/2509.16823 https://arxiv.org/html/2509.16823

Maria Colombo, Michele Dolce, Riccardo Montalto, Paolo Ventura: Long-wave instability of periodic shear flows for the 2D Navier-Stokes equations https://arxiv.org/abs/2509.18070 https://arxiv.org/pdf/2509.18070 https://arxiv.org/html/2509.18070

M. Burak Erdogan, Michael Goldberg, William Green: The $L^p$-continuity of wave operators for fractional order Schr\"odinger operators https://arxiv.org/abs/2509.18003 https://arxiv.org/pdf/2509.18003 https://arxiv.org/html/2509.18003

M. Burak Erdogan, Michael Goldberg, William Green: Dispersive estimates for fractional order Schr\"odinger operators https://arxiv.org/abs/2509.18002 https://arxiv.org/pdf/2509.18002 https://arxiv.org/html/2509.18002

Pablo Ochoa, Ariel Salort: The H\'enon equation in Orlicz-Sobolev spaces https://arxiv.org/abs/2509.17923 https://arxiv.org/pdf/2509.17923 https://arxiv.org/html/2509.17923

Olivier Glass, David Meyer, Franck Sueur: Motion of a massive rigid loop in a 3D perfect incompressible flow https://arxiv.org/abs/2509.17881 https://arxiv.org/pdf/2509.17881 https://arxiv.org/html/2509.17881

Feistl-Held Manuela, Pickl Peter: On the mean-field limit for the for the Vlasov-Poisson system in two dimensions https://arxiv.org/abs/2509.17821 https://arxiv.org/pdf/2509.17821 https://arxiv.org/html/2509.17821

Shoham Sen, Yang Wang, Timothy Breitzman, Kaushik Dayal: Nonlocal Electrostatics and Boundary Charges in Continuum Limits of Two-Dimensional Materials https://arxiv.org/abs/2509.17744 https://arxiv.org/pdf/2509.17744 https://arxiv.org/html/2509.17744

Tianyu Guan, Lihe Wang, Chunqin Zhou: Boundary pointwise regularity for the divergence form elliptic boundary problem on uniform domain https://arxiv.org/abs/2509.17690 https://arxiv.org/pdf/2509.17690 https://arxiv.org/html/2509.17690

Joaquim Duran: A survey on the resolvent convergence https://arxiv.org/abs/2509.17687 https://arxiv.org/pdf/2509.17687 https://arxiv.org/html/2509.17687